4.7 Article

Fuzzy rough sets, fuzzy preorders and fuzzy topologies

Journal

FUZZY SETS AND SYSTEMS
Volume 210, Issue -, Pages 63-68

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2012.06.001

Keywords

Fuzzy rough set; Fuzzy preorder; Fuzzy topology; (TC*) axiom

Funding

  1. Council of Scientific and Industrial Research, New Delhi

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This paper shows that observations made by different authors at different times regarding one-to-one correspondence between the family of fuzzy preorders on a nonempty set and the family of all fuzzy topologies on this set satisfying certain extra conditions are essentially equivalent. (C) 2012 Elsevier B.V. All rights reserved.

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