One-to-one correspondence between fuzzifying topologies and fuzzy preorders (Q2372308)
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| Language | Label | Description | Also known as |
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| English | One-to-one correspondence between fuzzifying topologies and fuzzy preorders |
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One-to-one correspondence between fuzzifying topologies and fuzzy preorders (English)
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26 July 2007
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This paper is devoted to a 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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Fuzzifying topology
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Fuzzy relation
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Fuzzy preorder
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