Overview

This monograph is intended for graduate courses in engineering and management science, as well as readers who want an introduction to the theories and methologies of Multiple Attribute Decision Making (MADM) in a fuzzy environment. Classical MADM introduces a great deal of complexity to the decision analysis. In a fuzzy environment, the decision analysis is extended to consider not only the aggregation of performance scores (which are fuzzy) but also the comparison of fuzzy numbers which cannot be easily compared as in the case of real numbers. Chapter 2 gives an overview of classical MADM. Chapter 3 presents the basic concepts and the mathematical operations of fuzzy set theory with figures and simple numerical examples in an easy-to-read and easy-to-follow manner. Chapter 4 deals with fuzzy ranking methods, which are widely used in many fuzzy applications (especially fuzzy optimization procedure). A systematic classification of nearly two dozen existing ranking methods is presented, and a system for classifying over one dozen fuzzy MADM methods is presented. The concept, algorithm and the characteristics of each method are discussed, and the computational procedure of each method is illustrated by solving a simple numerical example.

Full Product Details

Author:   F.P. Hwang ,  Shu-Jen Chen ,  Ching-Lai Hwang
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1992
Volume:   375
Dimensions:   Width: 17.00cm , Height: 2.80cm , Length: 24.40cm
Weight:   0.947kg
ISBN:  

9783540549987

ISBN 10:   3540549986
Pages:   536
Publication Date:   15 January 1992
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

I. Introduction.- II. Multiple Attribute Decision Making — An Overview.- 2.1 Basics and Concepts.- 2.2 Classifications of MADM Methods.- 2.3 Description of MADM Methods.- III. Fuzzy Sets and their Operations.- 3.1 Introduction.- 3.2 Basics of Fuzzy Sets.- 3.3 Set-Theoretic Operations with Fuzzy Sets.- 3.4 The Extension Principle and Fuzzy Arithmetics.- 3.5 Conclusions.- IV. Fuzzy Ranking Methods.- 4.1 Introduction.- 4.2 Ranking Using Degree of Optimality.- 4.3 Ranking Using Hamming Distance.- 4.4 Ranking Using ?-Cuts.- 4.5 Ranking Using Comparison Function.- 4.6 Ranking Using Fuzzy Mean and Spread.- 4.7 Ranking Using Proportion to The Ideal.- 4.8 Ranking Using Left and Right Scores.- 4.9 Ranking with Centroid Index.- 4.10 Ranking Using Area Measurement.- 4.11 Linguistic Ranking Methods.- V. Fuzzy Multiple Attribute Decision Making Methods.- 5.1 Introduction.- 5.2 Fuzzy Simple Additive Weighting Methods.- 5.3 Analytic Hierarchical Process (AHP) Methods.- 5.4 Fuzzy Conjunctive/Disjunctive Method.- 5.5 Heuristic MAUF Approach.- 5.6 Negi’s Approach.- 5.7 Fuzzy Outranking Methods.- 5.8 Maximin Methods.- 5.9 A New Approach to Fuzzy MADM Problems.- VI. Concluding Remarks.- 6.1 MADM Problems and Fuzzy Sets.- 6.2 On Existing MADM Solution Methods.- 6.3 Critiques of the Existing Fuzzy Methods.- 6.4 A New Approach to Fuzzy MADM Problem Solving.- 6.5 Other Multiple Criteria Decision Making Methods.- 6.6 On Future Studies.- VII. Bibliography.

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