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Fuzzy Set Theory,7th Editon free ebook download

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Mathematics

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Author(s):	Shiv Raj Singh

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	B08YWYR6LX
Pages:	326	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	4/4/2021 9:01:52 AM

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SYLLABUS- FUZZY SET THEORY, Fuzzy Sets: Basic definitions. a-level sets. Convex fuzzy sets. Basic operations on fuzzy
sets. Types of fuzzy sets. Cartesian products. Algebraic products. Bounded sum and
difference. t-norms and t-conorms.
The Extension Principle: The Zadeh's extension principle. Image and inverse image of
fuzzy sets. Fuzzy numbers. Elements of fuzzy arithmetic.
Fuzzy Relations and Fuzzy Graphs: Fuzzy, relations on fuzzy sets. Composition of
fuzzy relations. Min-Max composition and its properties. Fuzzy equivalence relations.
Fuzzy compatibility relations. Fuzzy relation equations. Fuzzy graphs. Similarity relation.
Possibility Theory: Fuzzy measures. Evidence theory. Necessity measure. Possibility
measure. Possibility distribution. Possibility theory and fuzzy sets. Possibility theory
versus probability theory.
Fuzzy Logic: An overview of classical logic, Multivalued logics. Fuzzy propositions.
Fuzzy quantifiers. Linguistic variables and hedges. Inference from conditional fuzzy
propositions, the compositional rule of inference.
Approximate Reasoning: An overview of fuzzy expert system. Fuzzy implications and
their selection. Multi-conditional approximate reasoning. The role of fuzzy relation
equation.
An Introduction to Fuzzy Control: Fuzzy controllers. Fuzzy rule base. Fuzzy inference
engine. Fuzzification. Defuzzification and the various defuzzification methods (the
centre of area, the centre of maxima, and the mean of maxima methods).
Decision Making in Fuzzy Environment: Individual decision making. Multiperson
decision making. Multicriteria decision making. Multistage decision making. Fuzzy
ranking methods. Fuzzy linear programming.

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Fuzzy Set Theory,7th Editon free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics