Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
391021 | Fuzzy Sets and Systems | 2007 | 9 Pages |
Abstract
This paper is devoted to the discussion of the relationship between fuzzifying topologies and fuzzy relations. A saturated fuzzifying topology can be generated by a reflexive fuzzy relation; and conversely, a fuzzy preorder can be generated by a fuzzifying topology. In fact, there exists a one-to-one correspondence between the set of all saturated fuzzifying topologies and that of all fuzzy preorders.
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