A cooperative fuzzy game theoretic approach to multiple objective design optimization

A. K. Dhingra, S. S. Rao

Research output: Contribution to journalArticle

56 Scopus citations

Abstract

The utility and applicability of cooperative game theory in an engineering design process is examined. It is shown how game theory may be used as a tool for solving multiple objective optimization (MOO) problems. The concepts in cooperative game theory and fuzzy set theory are combined to yield a new optimization method referred to herein as cooperative fuzzy games. The concept of cooperative fuzzy games can be applied to solve not only well- and ill-structured single and MOO problems, but also preliminary decision making and design problems where only a feasible solution is sought and no objective functions are specified. A completely general formulation capable of solving decision making problems with partly crisp and partly fuzzy objective functions, as well as partly crisp and partly fuzzy constraints is presented. It is shown that existing techniques for solving crisp and fuzzy mathematical programming problems are special cases of this general formulation. The computational procedure is illustrated via an application to a MOO problem dealing with the design of high speed mechanisms.

Original languageEnglish (US)
Pages (from-to)547-567
Number of pages21
JournalEuropean Journal of Operational Research
Volume83
Issue number3
DOIs
StatePublished - Jun 22 1995
Externally publishedYes

Keywords

  • Design
  • Fuzzy sets
  • Multiple criteria programming
  • Optimization

ASJC Scopus subject areas

  • Information Systems and Management
  • Management Science and Operations Research
  • Modeling and Simulation
  • Statistics, Probability and Uncertainty
  • Applied Mathematics
  • Transportation

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