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Books > Science & Mathematics > Mathematics > Applied mathematics > Fuzzy set theory
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Fuzzy Logic for Planning and Decision Making (Hardcover, 1997 ed.)
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Fuzzy Logic for Planning and Decision Making (Hardcover, 1997 ed.)
Series: Applied Optimization, 8
Expected to ship within 12 - 17 working days
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Thisvolume starts with the basicconceptsof FuzzyLogic: 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 FuzzyLogic in various branches of Operations
Research: PERT planning with uncertain activity durations, SMART
and the AHP for Multi-Criteria Decision Analysis (MCDA) with vague
preferential statements, ELECTRE usingthe ideasof the AHP and
SMART, and Multi-Objective Optimization (MOO) with weighted degrees
of satisfaction. Finally, earlierstudiesof colour perception
illustrate the attemptsto find a physiological basisfor the
set-theoretical and the algorithmic operations in Fuzzy Logic. The
last chapter also discusses somekey issues in linguistic
categorization and the prospectsof FuzzyLogicas a
multi-disciplinary research activity. I am greatly indebted to the
Department of Mechanical Engineering and Applied Mechanics, College
of Engineering, University of Michigan, Ann Arbor, for the splendid
opportunity to start the actual work on this book during my
sabbatical leavefrom Delft (1993 - 1994); to LAMSADE, Universite de
Paris-Dauphine, where many ideas emerged duringtwo winter visits
(1989, 1990); to the International Institute for Applied Systems
Analysis, Laxenburg, Austria, whereI got further inspiration
duringa number of summer visits (1992, 1995, and 1996); and to the
NISSAN Foundation in The Netherlands who enabled me to visit
several Japanese universities (June 1996). Moreover, I gratefully
acknowledge the stimulating supportgiven by many colleagues inthe
International Society on Multi-Criteria Decision Making and in the
European Working Group "Aide Multicritere Ii la Decision."
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