parsing text of a yes/no query - artificial-intelligence

I am automating a process which asks questions (via SMS but shouldn't matter) to real people. The questions have yes/no answers, but the person might respond in a number of ways such as: sure, not at this time, yeah, never or in any other way that they might. I would like to attempt to parse this text and determine if it was a yes or no answer (of course it might not always be right).
I figured the ideas and concepts to do this might already exist as it seems like a common task for an AI, but don't know what it might be called so I can't find information on how I might implement it. So my questions is, have algorithms been developed to do this kind of parsing and if so where can I find more information on how to implement them?

This can be viewed as a binary (yes or no) classification task. You could write a rule-based model to classify or a statistics-based model.
A rule-based model would be like if answer in ["never", "not at this time", "nope"] then answer is "no". When spam filters first came out they contained a lot of rules like these.
A statistics-based model would probably be more suitable here, as writing your own rules gets tiresome and does not handle new cases as well.
For this you need to label a training dataset. After a little preprocessing (like lowercasing all the words, removing punctuation and maybe even a little stemming) you could get a dataset like
0 | never in a million years
0 | never
1 | yes sir
1 | yep
1 | yes yes yeah
0 | no way
Now you can run classification algorithms like Naive Bayes or Logistic Regression over this set (after you vectorize the words in either binary, which means is the word present or not, word count, which means the term frequency, or a tfidf float, which prevent bias to longer answers and common words) and learn which words more often belong to which class.
In the above example yes would be strongly correlated to a positive answer (1) and never would be strongly related to a negative answer (0). You could work with n-grams so a not no would be treated as a single token in favor of the positive class. This is called the bag-of-words approach.
To combat spelling errors you can add a spellchecker like Aspell to the pre-processing step. You could use a charvectorizer too, so a word like nno would be interpreted as nn and no and you catch errors like hellyes and you could trust your users to repeat spelling errors. If 5 users make the spelling error neve for the word never then the token neve will automatically start to count for the negative class (if labeled as such).
You could write these algorithms yourself (Naive Bayes is doable, Paul Graham has wrote a few accessible essays on how to classify spam with Bayes Theorem and nearly every ML library has a tutorial on how to do this) or make use of libraries or programs like Scikit-Learn (MultinomialNB, SGDclassifier, LinearSVC etc.) or Vowpal Wabbit (logistic regression, quantile loss etc.).

Im thinking on top of my head, if you get a response which you dont know if its yes / no, you can keep the answers in a DB like unknown_answers and 2 more tables as affirmative_answers / negative_answers, then in a little backend system, everytime you get a new unknown_answer you qualify them as yes or no, and there the system "learns" about it and with time, you will have a very big and good database of affirmative / negative answers.

Related

How to go about creating a prolog program that can work backwards to determine steps needed to reach a goal

I'm not sure what exactly I'm trying to ask. I want to be able to make some code that can easily take an initial and final state and some rules, and determine paths/choices to get there.
So think, for example, in a game like Starcraft. To build a factory I need to have a barracks and a command center already built. So if I have nothing and I want a factory I might say ->Command Center->Barracks->Factory. Each thing takes time and resources, and that should be noted and considered in the path. If I want my factory at 5 minutes there are less options then if I want it at 10.
Also, the engine should be able to calculate available resources and utilize them effectively. Those three buildings might cost 600 total minerals but the engine should plan the Command Center when it would have 200 (or w/e it costs).
This would ultimately have requirements similar to 10 marines # 5 minutes, infantry weapons upgrade at 6:30, 30 marines at 10 minutes, Factory # 11, etc...
So, how do I go about doing something like this? My first thought was to use some procedural language and make all the decisions from the ground up. I could simulate the system and branching and making different choices. Ultimately, some choices are going quickly make it impossible to reach goals later (If I build 20 Supply Depots I'm prob not going to make that factory on time.)
So then I thought weren't functional languages designed for this? I tried to write some prolog but I've been having trouble with stuff like time and distance calculations. And I'm not sure the best way to return the "plan".
I was thinking I could write:
depends_on(factory, barracks)
depends_on(barracks, command_center)
builds_from(marine, barracks)
build_time(command_center, 60)
build_time(barracks, 45)
build_time(factory, 30)
minerals(command_center, 400)
...
build(X) :-
depends_on(X, Y),
build_time(X, T),
minerals(X, M),
...
Here's where I get confused. I'm not sure how to construct this function and a query to get anything even close to what I want. I would have to somehow account for rate at which minerals are gathered during the time spent building and other possible paths with extra gold. If I only want 1 marine in 10 minutes I would want the engine to generate lots of plans because there are lots of ways to end with 1 marine at 10 minutes (maybe cut it off after so many, not sure how you do that in prolog).
I'm looking for advice on how to continue down this path or advice about other options. I haven't been able to find anything more useful than towers of hanoi and ancestry examples for AI so even some good articles explaining how to use prolog to DO REAL THINGS would be amazing. And if I somehow can get these rules set up in a useful way how to I get the "plans" prolog came up with (ways to solve the query) other than writing to stdout like all the towers of hanoi examples do? Or is that the preferred way?
My other question is, my main code is in ruby (and potentially other languages) and the options to communicate with prolog are calling my prolog program from within ruby, accessing a virtual file system from within prolog, or some kind of database structure (unlikely). I'm using SWI-Prolog atm, would I be better off doing this procedurally in Ruby or would constructing this in a functional language like prolog or haskall be worth the extra effort integrating?
I'm sorry if this is unclear, I appreciate any attempt to help, and I'll re-word things that are unclear.
Your question is typical and very common for users of procedural languages who first try Prolog. It is very easy to solve: You need to think in terms of relations between successive states of your world. A state of your world consists for example of the time elapsed, the minerals available, the things you already built etc. Such a state can be easily represented with a Prolog term, and could look for example like time_minerals_buildings(10, 10000, [barracks,factory])). Given such a state, you need to describe what the state's possible successor states look like. For example:
state_successor(State0, State) :-
State0 = time_minerals_buildings(Time0, Minerals0, Buildings0),
Time is Time0 + 1,
can_build_new_building(Buildings0, Building),
building_minerals(Building, MB),
Minerals is Minerals0 - MB,
Minerals >= 0,
State = time_minerals_buildings(Time, Minerals, Building).
I am using the explicit naming convention (State0 -> State) to make clear that we are talking about successive states. You can of course also pull the unifications into the clause head. The example code is purely hypothetical and could look rather different in your final application. In this case, I am describing that the new state's elapsed time is the old state's time + 1, that the new amount of minerals decreases by the amount required to build Building, and that I have a predicate can_build_new_building(Bs, B), which is true when a new building B can be built assuming that the buildings given in Bs are already built. I assume it is a non-deterministic predicate in general, and will yield all possible answers (= new buildings that can be built) on backtracking, and I leave it as an exercise for you to define such a predicate.
Given such a predicate state_successor/2, which relates a state of the world to its direct possible successors, you can easily define a path of states that lead to a desired final state. In its simplest form, it will look similar to the following DCG that describes a list of successive states:
states(State0) -->
( { final_state(State0) } -> []
; [State0],
{ state_successor(State0, State1) },
states(State1)
).
You can then use for example iterative deepening to search for solutions:
?- initial_state(S0), length(Path, _), phrase(states(S0), Path).
Also, you can keep track of states you already considered and avoid re-exploring them etc.
The reason you get confused with the example code you posted is essentially that build/1 does not have enough arguments to describe what you want. You need at least two arguments: One is the current state of the world, and the other is a possible successor to this given state. Given such a relation, everything else you need can be described easily. I hope this answers your question.
Caveat: my Prolog is rusty and shallow, so this may be off base
Perhaps a 'difference engine' approach would be appropriate:
given a goal like 'build factory',
backwards-chaining relations would check for has-barracks and tell you first to build-barracks,
which would check for has-command-center and tell you to build-command-center,
and so on,
accumulating a plan (and costs) along the way
If this is practical, it may be more flexible than a state-based approach... or it may be the same thing wearing a different t-shirt!

How do I handle uncertainty/missing data in an Artifical Neural Network?

The context:
I'm experimenting with using a feed-forward artificial neural network to create AI for a video game, and I've run into the problem that some of my input features are dependent upon the existence or value of other input features.
The most basic, simplified example I can think of is this:
feature 1 is the number of players (range 2...5)
feature 2 to ? is the score of each player (range >=0)
The number of features needed to inform the ANN of the scores is dependent on the number of players.
The question: How can I represent this dynamic knowledge input to an ANN?
Things I've already considered:
Simply not using such features, or consolidating them into static input.
I.E using the sum of the players scores instead. I seriously doubt this is applicable to my problem, it would result in the loss of too much information and the ANN would fail to perform well.
Passing in an error value (eg -1) or default value (eg 0) for non-existant input
I'm not sure how well this would work, in theory the ANN could easily learn from this input and model the function appropriately. In practise I'm worried about the sheer number of non-existant input causing problems for the ANN. For example if the range of players was 2-10, if there were only 2 players, 80% of the input data would be non-existant and would introduce weird bias into the ANN resulting in a poor performance.
Passing in the mean value over the training set in place on non-existant input
Again, the amount of non-existant input would be a problem, and I'm worried this would introduce weird problems for discrete-valued inputs.
So, I'm asking this, does anybody have any other solutions I could think about? And is there a standard or commonly used method for handling this problem?
I know it's a rather niche and complicated question for SO, but I was getting bored of the "how do I fix this code?" and "how do I do this in PHP/Javascript?" questions :P, thanks guys.
It sounds like you have multiple data sets (for each number of players) that aren't really compatible with each other. Would lessons learned from a 5-player game really apply to a 2-player game? Try simplifying the problem, such as #1, and see how the program performs. In AI, absurd simplifications can sometimes give you a lot of traction, like bag of words in spam filters.
Try thinking about some model like the following:
Say xi (e.g. x1) is one of the inputs that a variable number of can exist. You can have n of these (x1 to xn). Let y be the rest of the inputs.
On your first hidden layer, pass x1 and y to the first c nodes, x1,x2 and y to the next c nodes, x1,x2,x3 and y to the next c nodes, and so on. This assumes x1 and x3 can't both be active without x2. The model will have to change appropriately if this needs to be possible.
The rest of the network is a standard feed-forward network with all nodes connected to all nodes of the next layer, or however you choose.
Whenever you have w active inputs, disable all but the wth set of c nodes (completely exclude them from training for that input set, don't include them when calculating the value for the nodes they output to, don't update the weights for their inputs or outputs). This will allow most of the network to train, but for the first hidden layer, only parts applicable to that number of inputs.
I suggest c is chosen such that c*n (the number of nodes in the first hidden layer) is greater than (or equal to) the number of nodes in the 2nd hidden layer (and have c be at the very least 10 for a moderately sized network (into the 100s is also fine)) and I also suggest the network have at least 2 other hidden layers (so 3 in total excluding input and output). This is not from experience, but just what my intuition tells me.
This working is dependent on a certain (possibly undefinable) similarity between the different numbers of inputs, and might not work well, if at all, if this similarity doesn't exist. This also probably requires quite a bit of training data for each number of inputs.
If you try it, let me / us know if it works.
If you're interested in Artificial Intelligence discussions, I suggest joining some Linked-In group dedicated to it, there are some that are quite active and have interesting discussions. There doesn't seem to be much happening on stackoverflow when it comes to Artificial Intelligence, or maybe we should just work to change that, or both.
UPDATE:
Here is a list of the names of a few decent Artificial Intelligence LinkedIn groups (unless they changed their policies recently, it should be easy enough to join):
'Artificial Intelligence Researchers, Faculty + Professionals'
'Artificial Intelligence Applications'
'Artificial Neural Networks'
'AGI — Artificial General Intelligence'
'Applied Artificial Intelligence' (not too much going on at the moment, and still dealing with some spam, but it is getting better)
'Text Analytics' (if you're interested in that)

Identifying the components in a English sentence that do not make sense

I'm wondering is there an algorithm or a library which helps me identify the components in an English which has no meaning? e.g., very serious grammar error? If so, could you explain how it works, because I would really like to implement that or use that for my own projects.
Here's a random example:
In the sentence: "I closed so etc page hello the door."
As a human, we can quickly identify that [so etc page hello] does not make any sense. Is it possible for a machine to point out that the string does not make any sense and also contains grammar errors?
If there's such a solution, how precise can that be? Is it possible, for example, given a clip of an English sentence, the algorithm returns a measure, indicating how meaningful, or correct that clip is? Thank you very much!
PS: I've looked at CMU's link grammar as well as the NLTK library. But still I'm not sure how to use for example link grammar parser to do what I would like to do as the if the parser doesn't accept the sentence, I don't know how to tweak it to tell me which part it is not right.. and I'm not sure whether NLTK supported that.
Another thought I had towards solving the problem is to look at the frequencies of the word combination. Since I'm currently interested in correcting very serious errors only. If I define the "serious error" to be the cases where words in a clip of a sentence are rarely used together, i.e., the frequency of the combo should be much lower than those of the other combos in the sentence.
For instance, in the above example: [so etc page hello] these four words really seldom occur together. One intuition of my idea comes from when I type such combo in Google, no related results jump out. So is there any library that provides me such frequency information like Google does? Such frequencies may give a good hint on the correctness of the word combo.
I think that what you are looking for is a language model. A language model assigns a probability to each sentence of k words appearing in your language. The simplest kind of language models are n-grams models: given the first i words of your sentence, the probability of observing the i+1th word only depends on the n-1 previous words.
For example, for a bigram model (n=2), the probability of the sentence w1 w2 ... wk is equal to
P(w1 ... wk) = P(w1) P(w2 | w1) ... P(wk | w(k-1)).
To compute the probabilities P(wi | w(i-1)), you just have to count the number of occurrence of the bigram w(i-1) wi and of the word w(i-1) on a large corpus.
Here is a good tutorial paper on the subject: A Bit of Progress in Language Modeling, by Joshua Goodman.
Yes, such things exist.
You can read about it on Wikipedia.
You can also read about some of the precision issues here.
As far as determining which part is not right after determining the sentence has a grammar issue, that is largely impossible without knowing the author's intended meaning. Take, for example, "Over their, dead bodies" and "Over there dead bodies". Both are incorrect, and could be fixed either by adding/removing the comma or swapping their/there. However, these result in very different meanings (yes, the second one would not be a complete sentence, but it would be acceptable/understandable in context).
Spell checking works because there are a limited number of words against which you can check a word to determine if it is valid (spelled correctly). However, there are infinite sentences that can be constructed, with infinite meanings, so there is no way to correct a poorly written sentence without knowing what the meaning behind it is.
I think what you are looking for is a well-established library that can process natural language and extract the meanings.
Unfortunately, there's no such library. Natural language processing, as you probably can imagine, is not an easy task. It is still a very active research field. There are many algorithms and methods in understanding natural language, but to my knowledge, most of them only work well for specific applications or words of specific types.
And those libraries, such as the CMU one, seems to be still quite rudimental. It can't do what you want to do (like identifying errors in English sentence). You have to develop algorithm to do that using the tools that they provide (such as sentence parser).
If you want to learn about it check out ai-class.com. They have some sections that talks about processing language and words.

How to determine subject, object and other words?

I'm trying to implement application that can determine meaning of sentence, by dividing it to smaller pieces. So I need to know what words are subject, object etc. so that my program can know how to handle this sentence.
This is an open research problem. You can get an overview on Wikipedia, http://en.wikipedia.org/wiki/Natural_language_processing. Consider phrases like "Time flies like an arrow, fruit flies like a banana" - unambiguously classifying words is not easy.
You should look at the Natural Language Toolkit, which is for exactly this sort of thing.
See this section of the manual: Categorizing and Tagging Words - here's an extract:
>>> text = nltk.word_tokenize("And now for something completely different")
>>> nltk.pos_tag(text)
[('And', 'CC'), ('now', 'RB'), ('for', 'IN'), ('something', 'NN'),
('completely', 'RB'), ('different', 'JJ')]
"Here we see that and is CC, a coordinating conjunction; now and completely are RB, or adverbs; for is IN, a preposition; something is NN, a noun; and different is JJ, an adjective."
I guess there is not "simple" way to do this. You have to build a linguistic analyzer (which is quite possible), however, a language as a lot of exceptional cases. And that is what makes implementing a linguistic analyzer that hard.
The specific problem you mention, the identification of the subject and objects of a clause, is accomplished by syntactic parsing. You can get a good idea of how parsing works by using this demo of parsing software developed by Stanford University.
However, syntactic parsing does not determine the meanining of a sentence, only its structure. Determining meaning (semantics) is a very hard problem in general and there is no technology that can really 'understand' a sentence in the same way that a human would. Although there is no general solution, you may be able to do something in a very restricted subject domain. For example, is the data you want to analyse about a narrow topic with a limited set of 'things' that people talk about?
StompChicken has given the right answer to this question, but I'd like to add that the concepts of subject and object are known as grammatical relations, and that Briscoe and Carroll's RASP is a parser that can go the extra step of deducing a list of relations from the parse.
Here's some example output from their demo page. It's an extract from the output for a sentence that begins "We describe a robust accurate domain-independent approach...":
(|ncsubj| |describe:2_VV0| |We:1_PPIS2| _)
(|dobj| |describe:2_VV0| |approach:7_NN1|)

What is fuzzy logic?

I'm working with a couple of AI algorithms at school and I find people use the words Fuzzy Logic to explain any situation that they can solve with a couple of cases. When I go back to the books I just read about how instead of a state going from On to Off it's a diagonal line and something can be in both states but in different "levels".
I've read the wikipedia entry and a couple of tutorials and even programmed stuff that "uses fuzzy logic" (an edge detector and a 1-wheel self-controlled robot) and still I find it very confusing going from Theory to Code... for you, in the less complicated definition, what is fuzzy logic?
Fuzzy logic is logic where state membership is, essentially, a float with range 0..1 instead of an int 0 or 1. The mileage you get out of it is that things like, for example, the changes you make in a control system are somewhat naturally more fine-tuned than what you'd get with naive binary logic.
An example might be logic that throttles back system activity based on active TCP connections. Say you define "a little bit too many" TCP connections on your machine as 1000 and "a lot too many" as 2000. At any given time, your system has a "too many TCP connections" state from 0 (<= 1000) to 1 (>= 2000), which you can use as a coefficient in applying whatever throttling mechanisms you have available. This is much more forgiving and responsive to system behavior than naive binary logic that only knows how to determine "too many", and throttle completely, or "not too many", and not throttle at all.
I'd like to add to the answers (that have been modded up) that, a good way to visualize fuzzy logic is follows:
Traditionally, with binary logic you would have a graph whose membership function is true or false whereas in a fuzzy logic system, the membership function is not.
1|
| /\
| / \
| / \
0|/ \
------------
a b c d
Assume for a second that the function is "likes peanuts"
a. kinda likes peanuts
b. really likes peanuts
c. kinda likes peanuts
d. doesn't like peanuts
The function itself doesn't have to be triangular and often isn't (it's just easier with ascii art).
A fuzzy system will likely have many of these, some even overlapping (even opposites) like so:
1| A B
| /\ /\ A = Likes Peanuts
| / \/ \ B = Doesn't Like Peanuts
| / /\ \
0|/ / \ \
------------
a b c d
so now c is "kind likes peanuts, kinda doesn't like peanuts" and d is "really doesn't like peanuts"
And you can program accordingly based on that info.
Hope this helps for the visual learners out there.
The best definition of fuzzy logic is given by its inventor Lotfi Zadeh:
“Fuzzy logic means of representing problems to computers in a way akin to the way human solve them and the essence of fuzzy logic is that everything is a matter of degree.”
The meaning of solving problems with computers akin to the way human solve can easily be explained with a simple example from a basketball game; if a player wants to guard another player firstly he should consider how tall he is and how his playing skills are. Simply if the player that he wants to guard is tall and plays very slow relative to him then he will use his instinct to determine to consider if he should guard that player as there is an uncertainty for him. In this example the important point is the properties are relative to the player and there is a degree for the height and playing skill for the rival player. Fuzzy logic provides a deterministic way for this uncertain situation.
There are some steps to process the fuzzy logic (Figure-1). These steps are; firstly fuzzification where crisp inputs get converted to fuzzy inputs secondly these inputs get processed with fuzzy rules to create fuzzy output and lastly defuzzification which results with degree of result as in fuzzy logic there can be more than one result with different degrees.
Figure 1 – Fuzzy Process Steps (David M. Bourg P.192)
To exemplify the fuzzy process steps, the previous basketball game situation could be used. As mentioned in the example the rival player is tall with 1.87 meters which is quite tall relative to our player and can dribble with 3 m/s which is slow relative to our player. Addition to these data some rules are needed to consider which are called fuzzy rules such as;
if player is short but not fast then guard,
if player is fast but not short then don’t guard
If player is tall then don’t guard
If player is average tall and average fast guard
Figure 2 – how tall
Figure 3- how fast
According to the rules and the input data an output will be created by fuzzy system such as; the degree for guard is 0.7, degree for sometimes guard is 0.4 and never guard is 0.2.
Figure 4-output fuzzy sets
On the last step, defuzzication, is using for creating a crisp output which is a number which may determine the energy that we should use to guard the player during game. The centre of mass is a common method to create the output. On this phase the weights to calculate the mean point is totally depends on the implementation. On this application it is considered to give high weight to guard or not guard but low weight given to sometimes guard. (David M. Bourg, 2004)
Figure 5- fuzzy output (David M. Bourg P.204)
Output = [0.7 * (-10) + 0.4 * 1 + 0.2 * 10] / (0.7 + 0.4 + 0.2) ≈ -3.5
As a result fuzzy logic is using under uncertainty to make a decision and to find out the degree of decision. The problem of fuzzy logic is as the number of inputs increase the number of rules increase exponential.
For more information and its possible application in a game I wrote a little article check this out
To build off of chaos' answer, a formal logic is nothing but an inductively defined set that maps sentences to a valuation. At least, that's how a model theorist thinks of logic. In the case of a sentential boolean logic:
(basis clause) For all A, v(A) in {0,1}
(iterative) For the following connectives,
v(!A) = 1 - v(A)
v(A & B) = min{v(A), v(B)}
v(A | B) = max{v(A), v(B)}
(closure) All sentences in a boolean sentential logic are evaluated per above.
A fuzzy logic changes would be inductively defined:
(basis clause) For all A, v(A) between [0,1]
(iterative) For the following connectives,
v(!A) = 1 - v(A)
v(A & B) = min{v(A), v(B)}
v(A | B) = max{v(A), v(B)}
(closure) All sentences in a fuzzy sentential logic are evaluated per above.
Notice the only difference in the underlying logic is the permission to evaluate a sentence as having the "truth value" of 0.5. An important question for a fuzzy logic model is the threshold that counts for truth satisfaction. This is to ask: for a valuation v(A), for what value D it is the case the v(A) > D means that A is satisfied.
If you really want to found out more about non-classical logics like fuzzy logic, I would recommend either An Introduction to Non-Classical Logic: From If to Is or Possibilities and Paradox
Putting my coder hat back on, I would be careful with the use of fuzzy logic in real world programming, because of the tendency for a fuzzy logic to be undecidable. Maybe it's too much complexity for little gain. For instance a supervaluational logic may do just fine to help a program model vagueness. Or maybe probability would be good enough. In short, I need to be convinced that the domain model dovetails with a fuzzy logic.
Maybe an example clears up what the benefits can be:
Let's say you want to make a thermostat and you want it to be 24 degrees.
This is how you'd implement it using boolean logic:
Rule1: heat up at full power when
it's colder than 21 degrees.
Rule2:
cool down at full power when it's
warmer than 27 degrees.
Such a system will only once and a while be 24 degrees, and it will be very inefficient.
Now, using fuzzy logic, it would be like something like this:
Rule1: For each degree that it's colder than 24 degrees, turn up the heater one notch (0 at 24).
Rule2: For each degree that it's warmer than 24 degress, turn up the cooler one notch (0 at 24).
This system will always be somewhere around 24 degrees, and it only once and will only once and a while make a tiny adjustment. It will also be more energy-efficient.
Well, you could read the works of Bart Kosko, one of the 'founding fathers'. 'Fuzzy Thinking: The New Science of Fuzzy Logic' from 1994 is readable (and available quite cheaply secondhand via Amazon). Apparently, he has a newer book 'Noise' from 2006 which is also quite approachable.
Basically though (in my paraphrase - not having read the first of those books for several years now), fuzzy logic is about how to deal with the world where something is perhaps 10% cool, 50% warm, and 10% hot, where different decisions may be made on the degree to which the different states are true (and no, it wasn't entirely an accident that those percentages don't add up to 100% - though I'd accept correction if needed).
A very good explanation, with a help of Fuzzy Logic Washing Machines.
I know what you mean about it being difficult to go from concept to code. I'm writing a scoring system that looks at the values of sysinfo and /proc on Linux systems and comes up with a number between 0 and 10, 10 being the absolute worst. A simple example:
You have 3 load averages (1, 5, 15 minute) with (at least) three possible states, good, getting bad, bad. Expanding that, you could have six possible states per average, adding 'about to' to the three that I just noted. Yet, the result of all 18 possibilities can only deduct 1 from the score. Repeat that with swap consumed, actual VM allocated (committed) memory and other stuff .. and you have one big bowl of conditional spaghetti :)
Its as much a definition as it is an art, how you implement the decision making process is always more interesting than the paradigm itself .. whereas in a boolean world, its rather cut and dry.
It would be very easy for me to say if load1 < 2 deduct 1, but not very accurate at all.
If you can teach a program to do what you would do when evaluating some set of circumstances and keep the code readable, you have implemented a good example of fuzzy logic.
Fuzzy Logic is a problem-solving methodology that lends itself to implementation in systems ranging from simple, small, embedded micro-controllers to large, networked, multi-channel PC or workstation-based data acquisition and control systems. It can be implemented in hardware, software, or a combination of both. Fuzzy Logic provides a simple way to arrive at a definite conclusion based upon vague, ambiguous, imprecise, noisy, or missing input information. Fuzzy Logic approach to control problems mimics how a person would make decisions, only much faster.
Fuzzy logic has proved to be particularly useful in expert system and other artificial intelligence applications. It is also used in some spell checkers to suggest a list of probable words to replace a misspelled one.
To learn more, just check out: http://en.wikipedia.org/wiki/Fuzzy_logic.
The following is sort of an empirical answer.
A simple (possibly simplistic answer) is that "fuzzy logic" is any logic that returns values other than straight true / false, or 1 / 0. There are a lot of variations on this and they tend to be highly domain specific.
For example, in my previous life I did search engines that used "content similarity searching" as opposed to then common "boolean search". Our similarity system used the Cosine Coefficient of weighted-attribute vectors representing the query and the documents and produced values in the range 0..1. Users would supply "relevance feedback" which was used to shift the query vector in the direction of desirable documents. This is somewhat related to the training done in certain AI systems where the logic gets "rewarded" or "punished" for results of trial runs.
Right now Netflix is running a competition to find a better suggestion algorithm for their company. See http://www.netflixprize.com/. Effectively all of the algorithms could be characterized as "fuzzy logic"
Fuzzy logic is calculating algorithm based on human like way of thinking. It is particularly useful when there is a large number of input variables. One online fuzzy logic calculator for two variables input is given:
http://www.cirvirlab.com/simulation/fuzzy_logic_calculator.php

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