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dc.contributor.authorWu, W.
dc.contributor.authorLeung, Yee-Hong
dc.contributor.authorShao, M.
dc.date.accessioned2017-11-20T08:50:09Z
dc.date.available2017-11-20T08:50:09Z
dc.date.created2017-11-20T08:13:32Z
dc.date.issued2013
dc.identifier.citationWu, W. and Leung, Y. and Shao, M. 2013. Generalized fuzzy rough approximation operators determined by fuzzy implicators. International Journal of Approximate Reasoning. 54 (9): pp. 1388-1409.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/58060
dc.identifier.doi10.1016/j.ijar.2013.05.004
dc.description.abstract

Abstract In this paper, a general framework for the study of dual fuzzy rough approximation operators determined by a fuzzy implication operator I in infinite universes of discourse is investigated. Lower and upper approximations of fuzzy sets with respect to a fuzzy approximation space in infinite universes of discourse are first introduced. Properties of I-fuzzy rough approximation operators are then examined. An operator-oriented characterization of fuzzy rough sets is further proposed, that is, I-fuzzy rough approximation operators are defined by axioms. Different axiom sets of lower and upper I-fuzzy set-theoretic operators guarantee the existence of different types of fuzzy relations which produce the same operators. Finally, a comparative study of I-fuzzy rough sets with fuzzy topological spaces is presented. It is proved that there exists a one-to-one correspondence between the set of all reflexive and T-transitive fuzzy approximation spaces and the set of all fuzzy Alexandrov spaces such that the lower and upper I-fuzzy rough approximation operators in a fuzzy approximation space are, respectively, the fuzzy interior and closure operators in a fuzzy topological space. © 2013 Elsevier Inc. All rights reserved.

dc.publisherElsevier
dc.titleGeneralized fuzzy rough approximation operators determined by fuzzy implicators
dc.typeJournal Article
dcterms.source.volume54
dcterms.source.number9
dcterms.source.startPage1388
dcterms.source.endPage1409
dcterms.source.issn0888-613X
dcterms.source.titleInternational Journal of Approximate Reasoning
curtin.departmentDepartment of Electrical and Computer Engineering
curtin.accessStatusFulltext not available


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