Fuzzy Set Theory and Advanced Mathematical Applications

by Da Ruan (Editor)

Overview

Fuzzy Set Theory and Advanced Mathematical Applications contains contributions by many of the leading experts in the field, including coverage of the mathematical foundations of the theory, decision making and systems science, and recent developments in fuzzy neural control. The book supplies a readable, practical toolkit with a clear introduction to fuzzy set theory and its evolution in mathematics and new results on foundations of fuzzy set theory, decision making and systems science, and fuzzy control and neural systems. Each chapter is self-contained, providing up-to-date coverage of its subject.
Audience: An important reference work for university students, and researchers and engineers working in both industrial and academic settings.

Product Details

ISBN-13:	9780792395867
Publisher:	Springer US
Publication date:	06/30/1995
Series:	International Series in Intelligent Technologies , #4
Edition description:	1995
Pages:	324
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

1 On the Evolution of the Mathematics of Fuzziness.- 2 Closedness and Upper Semi-Continuity of Fuzzy Multivalued Mappings.- 3 An Order-Theorethic Approach to Solving Sup-T Equations.- 4 Towards a Possibilistic Logic.- 5 Fuzzy Dynamic Programming: a New Quality Through Fuzzy Sets.- 6 On Transitivity of Fuzzy Preference Relations in Ranking Fuzzy Numbers.- 7 Information Aggregation: Ethical and Computational Issues.- 8 On the Notion State in Multistate Structure Function Theory.- 9 Fuzzy Logic And Neural Systems.- 10 Some Mathematical Problems of Fuzzy Controllers.- 11 Keep Fuzzy Controllers Fuzzy.- 12 Comparative Study of Fuzzy Control, Neural Network Control And Neurofuzzy Control.

Editorial Reviews

A dozen self-contained chapters introduce university students, researchers, and engineers to recent and advanced developments in fuzzy set theory and its applications. They present new results on the foundation of the theory, decision making and systems science, and control and neural systems. The specific topics include closedness and upper semi-continuity of fuzzy multi- valued mappings, ethical and computational issues around information aggregation, the transitivity of fuzzy preference relations in ranking fuzzy numbers, and a possibilistic logic. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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