Data structure and operations for fuzzy multisets

  • Authors:
  • Sadaaki Miyamoto

  • Affiliations:
  • Institute of Engineering Mechanics and Systems, University of Tsukuba, Ibaraki, Japan

  • Venue:
  • Transactions on Rough Sets II
  • Year:
  • 2005

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Abstract

An overview of data structures and operations for fuzzy multisets is given. A simple linear list identified with an infinite dimensional vector is taken as an elementary data structure for fuzzy multisets. Fuzzy multiset operations are defined by corresponding vector operations. Two level sets of α-cut and ν-cut are defined and commutativity between them are described. Spaces of fuzzy multisets are also discussed.