On the notion of dominance of fuzzy choice functions and its application in multicriteria decision making

  • Authors:
  • Irina Georgescu

  • Affiliations:
  • Turku Centre for Computer Science, Abo Akademi University, Institute for Advanced Management Systems Research, Turku, Finland

  • Venue:
  • ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
  • Year:
  • 2005

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Abstract

The aim of this paper is twofold: The first objective is to study the degree of dominance of fuzzy choice functions, a notion that generalizes Banerjee's concept of dominance. The second objective is to use the degree of dominance as a tool for solving multicriteria decision making problems. These types of problems describe concrete economic situations where partial information or human subjectivity appears. The mathematical modelling is done by formulating fuzzy choice problems where criteria are represented by fuzzy available sets of alternatives.