Equilibria and maximal elements of abstract fuzzy economies and qualitative fuzzy games

  • Authors:
  • Shih-sen Chang;Kok-keong Tan

  • Affiliations:
  • Department of Mathematics, Yunnan Normal University, Kunming, Yunnan 650092, People's Republic of China;Department of Mathematics and Statistics, Dallhousie University, Halifax, NS, Canada

  • Venue:
  • Fuzzy Sets and Systems - Theme: Decision and optimization
  • Year:
  • 2002

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Abstract

The purpose of this paper is to introduce the concepts of abstract fuzzy economies and qualitative fuzzy games and to use the connectedness of topological spaces without linear structures to study the existence problems of fuzzy equilibrium and fuzzy maximal elements of abstract fuzzy economies and qualitative fuzzy games. The results presented in this paper are new in the cases of ordinary abstract economies and ordinary qualitative games.