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Advances in Computational Intelligence

Volume 299 of the series Communications in Computer and Information Science pp 9-18

Possibility and Gradual Number Approaches to Ranking Methods for Random Fuzzy Intervals

  • Farid AicheAffiliated withUniversité Mouloud Mammeri de Tizi-Ouzou
  • , Didier DuboisAffiliated withIRIT, CNRS and Université de Toulouse

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Abstract

This paper deals with methods for ranking fuzzy intervals in connection with probabilistic and interval orderings. According to the interpretation of a fuzzy interval, various such extensions can be laid bare. In this paper, we especially consider extensions of probabilistic orderings using possibilistic interpretations of fuzzy intervals, crisp substitutes thereof, and gradual numbers. This framework can encompass the comparison of fuzzy random variables: coupling one form of probabilistic comparison with one form of interval comparison induces a method for ranking random fuzzy intervals.