Bifuzzy probabilistic sets and r-intuitionistic fuzzy sets

Authors:
Dong Xiao-Mei
Affiliations:
Information Science and Engineering College, Dalian Polytechnic University, Dalian, China
Venue:
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
Year:
2009

Citing 8
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Abstract

In this paper, the connections among bifuzzy probabilistic sets, r-intuitionistic fuzzy sets and intuitionistic fuzzy sets are established. Firstly, the concept of r-intuitionistic fuzzy sets is presented and operations of r-intuitionistic fuzzy sets are discussed. Secondly, the concept of r-intuitionistic nested set is given and it is proved that a bifuzzy probabilistic set is an equivalent class of a r-intuitionistic nested set.