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Fuzzy Sets and Fuzzy Logic: Theory and Applications
By George J. Klir, Bo Yuan



  • Publisher: Prentice Hall PTR
  • Number Of Pages: 592
  • Publication Date: 1995-05-21
  • ISBN-10 / ASIN: 0131011715
  • ISBN-13 / EAN: 9780131011717
  • Binding: Hardcover


Product Description:
Reflecting the tremendous advances that have taken place in the study of fuzzy set theory and fuzzy logic from 1988 to the present, this book not only details the theoretical advances in these areas, but considers a broad variety of applications of fuzzy sets and fuzzy logic as well. Theoretical aspects of fuzzy set theory and fuzzy logic are covered in Part I of the text, including: basic types of fuzzy sets; connections between fuzzy sets and crisp sets; the various aggregation operations of fuzzy sets; fuzzy numbers and arithmetic operations on fuzzy numbers; fuzzy relations and the study of fuzzy relation equations. Part II is devoted to applications of fuzzy set theory and fuzzy logic, including: various methods for constructing membership functions of fuzzy sets; the use of fuzzy logic for approximate reasoning in expert systems; fuzzy systems and controllers; fuzzy databases; fuzzy decision making; and engineering applications. For everyone interested in an introduction to fuzzy set theory and fuzzy logic.​



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Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists
By W. B. Vasantha Kandasamy; Florentin Smarandache; K. Ilanthenral



  • Publisher: Automaton
  • Number Of Pages: 352
  • Publication Date: 2007-03-10
  • ISBN-10 / ASIN: 1599730057
  • ISBN-13 / EAN: 9781599730059
  • Binding: Perfect Paperback


Product Description:
This book gives the basic notions of fuzzy matrix theory and its applications to simple models. The approach is non-traditional in order to attract many students to use this methodology in their research. The traditional approach of mathematicians has conditioned students of sociology in such a manner that they averse to using mathematical tools. Six simple types of fuzzy models that make use of fuzzy matrices are given. These models are distinct because they are time dependent and can even be used for statistical data. The Fuzzy Cognitive Maps model gives the hidden pattern. Fuzzy Relational Maps model not only gives the inter-relations between two sets of disjoint attributes. The Bidirectional Associative Memories model analyzes data depending on the time-period while the Fuzzy Associative memories model can give the gradation of importance of each attribute. Finally, the Fuzzy Relational Equation model is capable of giving a solution closer to the predicted solution. All the methods are illustrated through elaborate examples of particular social problems.​




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