Short communication: Lattice representations of interval-valued fuzzy sets

  • Authors:
  • Marijana Gorjanac Ranitović;Aleksandar Petojević

  • Affiliations:
  • -;-

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2014

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Abstract

In this paper, a solution of the problem of the interval-valued fuzzy sets synthesis, is given. The codomain is considered to be a lattice of intervals. The necessary and sufficient conditions for a family of subsets to be a family of cut sets of an interval-valued fuzzy set are given.