On the maximum entropy parameterized interval approximation of fuzzy numbers

  • Authors:
  • Xinwang Liu

  • Affiliations:
  • School of Economics and Management, Southeast University, Nanjing 210096, China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2006

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Abstract

This paper extends the interval-valued weighted possibilistic mean of a fuzzy number of Fuller and Majlender to a general weighting function without the monotonic increasing assumption. This weighting function determines a weighted average aggregation of the cuts of the fuzzy number according to the preference of a decision-maker. Some properties of the weighting function are provided and a preference index that qualifies this aggregation and can serve as a parameter for the definition of interval approximation of a fuzzy number is proposed. A special class of parameterized weighting functions satisfying the maximal entropy principle is proposed.