Fuzzy Set Theory (eBook)

What Is Fuzzy Set Theory

In the field of mathematics, fuzzy sets are defined as sets with constituents that have varying degrees of membership. Lotfi A. Zadeh independently developed the concept of fuzzy sets in 1965 and presented it to the world as an expansion of the traditional concept of set.During this same time period, Salii (1965) defined a more broad sort of structure that he referred to as an L-relation. He examined this structure in the framework of abstract algebra. Fuzzy relations, which are currently utilized across fuzzy mathematics and have applications in fields such as linguistics, decision-making, and clustering, are special examples of L-relations when L is the unit interval [0, 1]. Fuzzy relations have applications in areas such as linguistics, decision-making, and clustering.

How You Will Benefit

(I) Insights, and validations about the following topics:

Chapter 1: Fuzzy set

Chapter 2: Kaluza-Klein theory

Chapter 3: Dirac equation

Chapter 4: Stress-energy tensor

Chapter 5: Fuzzy control system

Chapter 6: Measurable cardinal

Chapter 7: Radon-Nikodym theorem

Chapter 8: Stable distribution

Chapter 9: Four-gradient

Chapter 10: Pearson distribution

(II) Answering the public top questions about fuzzy set theory.

(III) Real world examples for the usage of fuzzy set theory in many fields.

Who This Book Is For

Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of fuzzy set theory.