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dc.contributor.authorHassane, Bouremel-
dc.date.accessioned2023-05-28T21:28:44Z-
dc.date.available2023-05-28T21:28:44Z-
dc.date.issued2018-05-30-
dc.identifier.citation13en_US
dc.identifier.issn0165-0114-
dc.identifier.urihttp://dspace.cu-barika.dz/jspui/handle/123456789/495-
dc.description.abstractIn a recent paper, DeBaets et al. have studied the compatibility of a(n) (strict) order relation with a fuzzy relation, and have characterized the fuzzy tolerance (and, in particular, fuzzy equivalence) relations that a given strict order relation is compatible with. We extend this study by considering the left-and right-compatibility of a(n) (strict) order relation with a fuzzy tolerance relation and vice versa. We characterize the fuzzy tolerance relations that are compatible with a given (strict) order relation. Conversely, we provide a representation of the fuzzy tolerance relations that a given strict order relation is left-or right-compatible with. Specific attention is paid to the case of fuzzy equivalence relations. We conclude by pointing out that the representation theorems in the above-mentioned paper need some minor rectification. ©2018 Elsevier B.V. All rights reserved.en_US
dc.publisherFuzzy Sets and Systemsen_US
dc.subjectLeft-compatibility; Right-compatibility;en_US
dc.subjectClone relation; Order relation; Fuzzy equivalence relation; Fuzzy tolerance relationen_US
dc.titleLeft-and right-compatibility of order relations and fuzzy tolerance relationsen_US
dc.typeArticleen_US
Collection(s) :Department of Maths - قسم الرياضيات

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