Zimmermann H. Fuzzy Set Theory and Its Applications 4ed 2001

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Zimmermann H. Fuzzy Set Theory and Its Applications 4ed 2001

Textbook in PDF format As its name implies, the theory of fuzzy sets is, basically, a theory of graded concepts-a theory in which everything is a matter of degree or, to put it figuratively, everything has elasticity. In the two decades since its inception, the theory has matured into a wide ranging collection of concepts and techniques for dealing with complex phenomena that do not lend themselves to analysis by classical methods based on probability theory and bivalent logic. Nevertheless, a question that is frequently raised by the skeptics is: Are there, in fact, any significant problem-areas in which the use of the theory of fuzzy sets leads to results that could not be obtained by classical methods? Professor Zimmermann's treatise provides an affirmative answer to this question. His comprehensive exposition of both the theory and its applications explains in clear terms the basic concepts that underlie the theory and how they relate to their classical counterparts. He shows through a wealth of examples the ways in which the theory can be applied to the solution of realistic problems, particularly in the realm of decision analysis, and motivates the theory by applications in which fuzzy sets play an essential role