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Optimization Models Using Fuzzy Sets and Possibility Theory

  • Book
  • © 1987

Overview

Editors:
  1. J. Kacprzyk

    1. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

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  2. S. A. Orlovski

    1. International Institute for Applied Systems Analysis, Laxenburg, Austria

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Theory and Decision Library B (TDLB, volume 4)

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Table of contents (29 chapters)

  1. Front Matter

    Pages i-xii
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  3. Advances in Fuzzy Decision Making, Fuzzy Optimization, and Fuzzy Mathematical Programming

    1. Front Matter

      Pages 73-73
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    2. Fuzzy Preferences and Choice

      1. Fuzzy Preferences in an Optimization Perspective
        • Marc Roubens, Philippe Vincke
        Pages 77-90
      2. Preference and Choice in a Fuzzy Environment
        • Serge Ovchinnikov
        Pages 91-98
      3. Fuzzy Choice
        • V. B. Kuz’min, S. I. Travkin
        Pages 99-109
      4. Preferences Deduced from Fuzzy Questions
        • Bernadette Bouchon
        Pages 110-120

    3. Aspects of Fuzzy Decision Making and Optimization

      1. Optimal Alternative Selection in The Face of Evidential Knowledge
        • Ronald R. Yager
        Pages 123-140
      2. Analysis of Fuzzy Evidence in Decision Making Models
        • V. I. Glushkov, A. N. Borisov
        Pages 141-153
      3. Fuzzy Inclusions and Fuzzy Dichotomous Decision Procedures
        • L. M. Kitainik
        Pages 154-170
      4. Combinatorial Search with Fuzzy Estimates
        • Didier Dubois, Henri Farreny, Henri Prade
        Pages 171-185
      5. Linear Regression Analysis by Possibilistic Models
        • H. Tanaka, J. Watada, K. Asai
        Pages 186-199

    4. Fuzzy Multicriteria Decision Making, Optimization, and Mathematical Programming: Analysis, Solution Procedures, and Interactive Approaches

      1. A Fuzzy Multicriteria Decision Making Model
        • Vladimir E. Zhukovin
        Pages 203-215
      2. Fuzzy Programming — A New Model of Optimization
        • Feng Yingjun
        Pages 216-225
      3. Fuzzy Programming and the Multicriteria Decision Problem
        • J. J. Buckley
        Pages 226-244
      4. Hierarchical Programming With Fuzzy Objectives and Constraints
        • Yee Leung
        Pages 245-257
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Keywords

About this book

Optimization is of central concern to a number of discip­ lines. Operations Research and Decision Theory are often consi­ dered to be identical with optimizationo But also in other areas such as engineering design, regional policy, logistics and many others, the search for optimal solutions is one of the prime goals. The methods and models which have been used over the last decades in these areas have primarily been "hard" or "crisp", i. e. the solutions were considered to be either fea­ sible or unfeasible, either above a certain aspiration level or below. This dichotomous structure of methods very often forced the modeller to approximate real problem situations of the more-or-less type by yes-or-no-type models, the solutions of which might turn out not to be the solutions to the real prob­ lems. This is particularly true if the problem under considera­ tion includes vaguely defined relationships, human evaluations, uncertainty due to inconsistent or incomplete evidence, if na­ tural language has to be modelled or if state variables can only be described approximately. Until recently, everything which was not known with cer­ tainty, i. e. which was not known to be either true or false or which was not known to either happen with certainty or to be impossible to occur, was modelled by means of probabilitieso This holds in particular for uncertainties concerning the oc­ currence of events.

Editors and Affiliations

  • Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    J. Kacprzyk

  • International Institute for Applied Systems Analysis, Laxenburg, Austria

    S. A. Orlovski

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