Perturbation of fuzzy sets and fuzzy reasoning based on normalized Minkowski distances

  • Authors:

  • Songsong Dai;Daowu Pei;San-Min Wang

  • Affiliations:

  • Department of Mathematics, School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China;Department of Mathematics, School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China;Department of Mathematics, School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2012

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Abstract

In this paper, we extend the concept of the perturbation of fuzzy sets based on normalized Minkowski distances and present some new conclusions on perturbation raised by various operations of fuzzy sets. These operations are induced by triangular norms and conorms. Furthermore, we discuss the perturbation of fuzzy reasoning.