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Is ‘Fuzzy Theory’ an Appropriate Tool for Large Size Problems?

Is ‘Fuzzy Theory’ an Appropriate Tool for Large Size Problems? by Ranjit Biswas
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Thework in this book is based on philosophical as well as logical views on thesubject of decoding  the ‘progress’ of  decision making process inthe cognition system of a decision maker (be it a human or an animal or a birdor any living thing which has a brain) while evaluating the membership valueµ(x)  in a fuzzy set  or in an intuitionistic fuzzy set or in anysuch soft computing set model or in a crisp set.  A new theory isintroduced called by “Theory of CIFS”.   The following two hypothesisare hidden facts in fuzzy computing or in any soft computing process :-

Fact-1: A decision maker(intelligent agent)  can never use or apply  ‘fuzzy theory’or any soft-computing set theory without intuitionistic fuzzy system.

Fact-2 : The Fact-1 does notnecessarily require that a fuzzy decision maker (or a crisp ordinary decisionmaker or a decision maker with any other soft theory models or a decision makerlike animal/bird which has brain, etc.)  must be aware orknowledgeable about IFS Theory!

The “Theory ofCIFS” is developed with a careful analysis unearthing the correctness of thesetwo facts. Two examples of ‘decision making problems’ with complete solutionsare presented out of which one example will show the dominance of theapplication potential of intuitionistic fuzzy set theory over fuzzy set theory,and the other will show the converse  i.e. the dominance of theapplication potential of fuzzy set theory over intuitionistic fuzzy set theoryin some cases. The “Theory of CIFS” may be viewed to belong to the subjects :Theory of Intuitionistic Fuzzy Sets, Soft Computing, Artificial Intelligence,etc.

Springer International Publishing; December 2015
72 pages; ISBN 9783319267180
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Title: Is ‘Fuzzy Theory’ an Appropriate Tool for Large Size Problems?
Author: Ranjit Biswas
 
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