Fuzzy Multisets and Their Generalizations

  • Authors:
  • Sadaaki Miyamoto

  • Affiliations:
  • -

  • Venue:
  • WMP '00 Proceedings of the Workshop on Multiset Processing: Multiset Processing, Mathematical, Computer Science, and Molecular Computing Points of View
  • Year:
  • 2000

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Abstract

Fuzzy multisets with infinite membership sequences and their generalization using set-valued memberships are considered. Two metric spaces of the infinite fuzzy multisets are defined in terms of cardinality. One is the completion of fuzzy multisets of finite membership sequences; the other is derived from operations among fuzzy multisets and realvalued multisets. Theoretical properties of these infinite fuzzy multisets are discussed.