Remarks on basics of fuzzy sets and fuzzy multisets

Authors:
Sadaaki Miyamoto
Affiliations:
Department of Risk Engineering, School of Systems and Information Engineering, University of Tsukuba, Ibaraki 305-8573, Japan
Venue:
Fuzzy Sets and Systems
Year:
2005

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Abstract

Two remarks on basic aspects of fuzzy sets are given. They are notation for the @a-cuts and a commutative property in the extension principle. Application of the commutative property to fuzzy multisets is moreover considered.