Fuzzy Logic for Planning and Decision Making / Edition 1

by Freerk A. Lootsma

Overview

This book starts with the basic concepts of Fuzzy Logic: the membership function, the intersection and the union of fuzzy sets, fuzzy numbers, and the extension principle underlying the algorithmic operations. Several chapters are devoted to applications of Fuzzy Logic in Operations Research: PERT planning with uncertain activity durations, Multi-Criteria Decision Analysis (MCDA) with vague preferential statements, and Multi-Objective Optimization (MOO) with weighted degrees of satisfaction. New items are: Fuzzy PERT using activity durations with triangular membership functions, Fuzzy SMART with a sensitivity analysis based upon Fuzzy Logic, the Additive and the Multiplicative AHP with a similar feature, ELECTRE using the ideas of the AHP and SMART, and a comparative study of the ideal-point methods for MOO. Finally, earlier studies of colour perception illustrate the attempts to find a physiological basis for the set-theoretical and the algorithmic operations in Fuzzy Logic. The last chapter also discusses some key issues in linguistic categorization and the prospects of Fuzzy Logic as a multi-disciplinary research activity.
Audience: Researchers and students working in applied mathematics, operations research, management science, business administration, econometrics, industrial engineering, information systems, artificial intelligence, mathematical psychology, and psycho-physics.

Product Details

ISBN-13:	9780792346814
Publisher:	Springer US
Publication date:	08/31/1997
Series:	Applied Optimization , #8
Edition description:	1997
Pages:	198
Product dimensions:	6.14(w) x 9.21(h) x 0.24(d)

Table of Contents

1 Introduction.- 2 Basic concepts of fuzzy logic.- 3 Shastic and fuzzy PERT.- 4 Fuzzy SMART.- 5 The Additive and the Multiplicative AHP.- 6 The ELECTRE systems.- 7 Fuzzy Multi-Objective Optimization.- 8 Colour perception.- About the author.

Editorial Reviews

Begins with the basic concepts of fuzzy logic, such as the membership function, the intersection and the union of fuzzy sets, fuzzy numbers, and the extension principle underlying the algorithmic operations. Then describes applications in operations research, among them PERT planning with uncertain activity durations, multi-criteria decision analysis with vague preferential statements, and multi-objective optimization with weighted degrees of satisfaction. Also discusses fuzzy pert using activity durations with triangular membership functions, fuzzy SMART with a sensitivity analysis based on fuzzy logic, the additive and the multiplicative AHP with a similar feature, and a comparative study of the ideal-point methods for MOO. Uses earlier studies of color perception to seek a physiological basis for the set-theoretical and the algorithmic operations in fuzzy logic. Of possible interest to people who use fuzzy logic in any of a wide range of fields. Annotation c. by Book News, Inc., Portland, Or.

Booknews