Fuzzy Closure Spaces vs. Fuzzy Rough Sets |
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| Institution: | 1. Department of Applied Mathematics, Indian School of Mines, Dhanbad- 826004, India;2. Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar- 751024, India |
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| Abstract: | This paper investigates the relationship among fuzzy rough sets, fuzzy closure spaces and fuzzy topology. It is shown that there exists a bijective correspondence between the set of all fuzzy reflexive approximation spaces and the set of all quasi-discrete fuzzy closure spaces satisfying a certain extra condition. Similar correspondence is also obtained between the set of all fuzzy tolerance approximation spaces and the set of all symmetric quasi-discrete fuzzy closure spaces satisfying a certain extra condition. |
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| Keywords: | Fuzzy rough set Fuzzy reflexive approximation space Fuzzy tolerance approximation space Fuzzy closure space Fuzzy topology |
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