Operations of fuzzy bags

  • Kim, Kyung-Soo (Doctoral Program in Engineering, University of Tsukuba) ;
  • Miyamoto, Sadaaki (Institute of Information Sciences and Electronics, University of Tsukuba)
  • Published : 1996.10.01

Abstract

A bag is a set-like entity which can contain repeated elements. Fuzzy bags have been studied by Yager, who defined their basic relations and operations. However, his definitions of the basic relations and operations are inconsistent with the corresponding relations and operations for ordinary fuzzy sets. The present paper presents new basic relations and operations of fuzzy bags using a grade sequence for each element of the universal set. Moreover the .alpha.-cut, t-norms, the extension principle, and the composition of fuzzy bag relations are described.

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