On decision-making with non-standard fuzzy subsets

  • Authors:
  • Ronald R. Yager

  • Affiliations:
  • Machine Intelligence Institute, Iona College, New Rochelle, NY 10801, USA

  • Venue:
  • International Journal of Knowledge Engineering and Soft Data Paradigms
  • Year:
  • 2009

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Abstract

We describe the formal equivalence between interval valued and intuitionistic fuzzy subsets. We then discuss the role of fuzzy set methods in multi-criteria decision-making. We note that when an application involves non-standard, interval valued or intuitionistic fuzzy subsets, a problem arises in choosing a best alternative. This problem is a result of the fact that the membership grades of these non-standard fuzzy subsets are not completely ordered. Here, we introduce a method for evaluating alternatives in this situation.