Similarity and (α,β)-equalities of intuitionistic fuzzy choice functions based on triangular norms

  • Authors:
  • Zengtai Gong;Wei Zhao;Ying Qi;Lei Tao

  • Affiliations:
  • -;-;-;-

  • Venue:
  • Knowledge-Based Systems
  • Year:
  • 2013

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Abstract

In this paper, we define (@a,@b)-equalities of intuitionistic fuzzy sets and (@q"@a,@f"@b)-equalities of T, S-residual implications and their algebraic operations. Meanwhile (@a,@b)-equalities with respect to intuitionistic fuzzy relations, extension principle and dual triangular norms are studied. In addition, we discuss the intuitionistic fuzzy choice functions and their properties. Finally, a ordered method of intuitionistic fuzzy choice functions is proposed by using some examples.