An investigation of ideals in the set of fuzzy measures

  • Authors:

  • A. G. Bronevich

  • Affiliations:

  • Taganrog State University of Radio-Engineering, Nekrasovskij bystreet 44, 347928 Taganrog, Russia

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2005

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Abstract

This work is devoted to the investigation of sets of fuzzy measures that are closed with respect to convex sum and product of fuzzy measures, which we call ideals. It is shown that the basic convex families of fuzzy measures, which are interpreted as lower probabilities, possess such properties.