Generalizing the migrativity of continuous t-norms

  • Authors:
  • Yao Ouyang

  • Affiliations:
  • Faculty of Science, Huzhou Teachers College, Huzhou, Zhejiang 313000, China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2013

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Abstract

This paper generalizes the migrativity of triangular norms (t-norms for short). Precisely, we find those continuous t-norms T which satisfy T(@l"1x,@l"2y)=@l"3T(x,y), where @l"i@?(0,1],i=1,2,3 are given. It is worth pointing out that this paper provides a new characterization of the product t-norm.