Reflexive,Transitive (Fuzzy) Relation and Topological Spaces

Zheng Ding-we · Journal of Guangxi Teachers Education University · 2014

The relation between the reflexive,transitive fuzzy binary relation R with topological space is studied.We prove that a reflexive,transitive fuzzy binary relation has a corresponding to a fuzzying topology which is a monotone topological space,whence Ris a reflexive,transitive relation,the fuzzying topology become a classical topology in which the closure and the interior operator is just the rough upper and lower approximation operator.

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