The hierarchical structure analysis of intuitionistic fuzzy tolerance relations
by Xiufang Jia; Liangtu Song; Wei Li; Haiying Hu
International Journal of Granular Computing, Rough Sets and Intelligent Systems (IJGCRSIS), Vol. 3, No. 2, 2013

Abstract: In this paper, on the basis of quotient space theory, a theoretical framework of hierarchical structures is proposed by intuitionistic fuzzy tolerance matrices based on intuitionistic fuzzy tolerance relations. It also generalises classic quotient space induced by equivalent relations. The first, some new definitions on intuitionistic fuzzy tolerance relation are presented. We then propose and prove some interesting properties which describe the same hierarchical structure induced in two ways of composition by the intuitionistic fuzzy tolerance relations. Finally, the effective algorithm of getting their hierarchical structures by matrices is proposed. The algorithm has been validated by an example.

Online publication date: Sat, 19-Jul-2014

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