Fuzzy logic

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Fuzzy logic in short term strategy games

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Introduction

Binary Logic-It’s either true or false, On or Off.

Fuzzy Logic-

1. A person is having his 26th birthday. A comment from someone is "you're not young anymore”.

2. Whether to guard a basketball player in basketball game or not.


Problem

During the game how to decide whether the monster should attack or flee.


Problem….

If we have 5 states and 2 in put variables then we will have to handle 5^2 states(as states grow exponentially)

How you tackle 5 states and 6 inputs as states will grow to 5^6=625 ????


Terms & their definitions

Fuzzy Set-A fuzzy set is a pair (A,m) where A is a set and m:A->[0,1] X is called fuzzy member if 0<m(x)<1

Fuzzy Logic-Fuzzy logic is a form of multi-valued logic derived from fuzzy set theory to deal with reasoning that is approximate rather than accurate.

Fuzzy logic means of representing problems to computers in way like the way human solve them and the essence of fuzzy logic is that everything is a matter of degree.”-Lofty

Zadeh


Strategy to solve


Solutions..

Let’s try to solve man’s age problem keeping other parameters same …


Fuzzy logic in a real game

Making a fuzzy system-


Fuzzy logic in a real game..

Weighing rules-



Weighing rules in overlapping area-

………



Weighing rules-

………



Making the output-



Reaction-



Extra weights-


Short term decisions elaborated


Short term calculations elaborated



Defuzzification- Rules to manipulate fuzzy input to generate

crisp output.

1.Combs Method: This method uses logical equality [(p and q) then r] = [(p then r) or (q then r)] this method reduces states from s^n to s*n.

2.Center of mass Method: This method crops the extra upper part of triangle, makes it trapezoid and finds the center of mass of figure……



Degree of guard is 0.7,degree of sometimes guard is 0.4, and never guard is 0.4


Conclusion

Fuzzy logic emerged as a consequence of the 1965 proposal of fuzzy set theory by Lotfi Zadeh.

Though fuzzy logic has been applied to many fields, from control theory to artificial intelligence.

It still remains controversial among most statisticians, who prefer Bayesian logic, and some control engineers, who prefer traditional two-valued logic.

Fuzzy logic

Education

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