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Indexed by:会议论文

Date of Publication:2008-10-18

Included Journals:EI、CPCI-S、Scopus

Volume:1

Page Number:271-+

Key Words:fuzzy probabilistic set; r-fuzzy set; r-fuzzy nested set; fuzzy probabilistic subgroup; r-fuzzy subgroup

Abstract:In this paper, a connection between the fuzzy probabilistic set and the r-fuzzy set is established. Firstly, a new concept of r-fuzzy nested set is presented and it is pointed that a fuzzy probabilistic set is an equivalent class of a r-fuzzy nested set. Secondly, the concepts of fuzzy probabilistic subgroup and r-fuzzy subgroup of a group are given respectively, the relations between fuzzy probabilistic subgroups and fuzzy subgroups presented by Rosenfeld and the properties of r-fuzzy subgroups are discussed. Finally, the membership function of fuzzy probabilistic sets and r-fuzzy subgroups are defined, the properties of membership function of r-fuzzy subgroups are studied.