On possible and necessary inclusion of intuitionistic fuzzy sets

  • Authors:

  • Przemysław Grzegorzewski

  • Affiliations:

  • Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland and Faculty of Mathematics and Information Science, Warsaw University of Technology, Plac Politechniki 1, ...

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2011

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Abstract

The problem of measuring the degree of inclusion for two intuitionistic fuzzy sets (IF-sets) is considered. Since the nature of IF-sets includes uncertainty expressed both by the membership and nonmembership functions, this very feature should be also regarded in the construction of the subsethood measures. Therefore, we suggest not a single coefficient measuring the grade of subsethood but two indicators that leave some space to the mentioned uncertainty and correspond rather to necessary and possible inclusion.