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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...
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