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dc.contributor.authorŠešelja, Branimiren
dc.contributor.authorTepavčević, Andrejaen
dc.date.accessioned2020-04-12T18:10:45Z-
dc.date.available2020-04-12T18:10:45Z-
dc.date.issued1992-12-10en
dc.identifier.issn0165-0114en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/442-
dc.description.abstractA generalization of the notion of a fuzzy set is given. An R-fuzzy set A is a mapping from a set A into the relational system (S, ρ{variant}) where ρ{variant} is a binary relation on S. Necessary and sufficient conditions for a unique decomposition and synthesis of an R-fuzzy set into the family of ordinary subsets (p-cuts) are given. As a consequence, it is possible to obtain a fuzzy set as a synthesis of any collection of characteristics functions on a nonvoid set, which was impossible in classical fuzzy set theory. As a contribution to coding theory, a possibility to express any binary block code syntheticly, by a single fuzzy set, is obtained. Note that up to now only some classes of binary codes have been characterized by fuzzy sets. Suitable examples (BCD and a linear code) are given at the end of the paper, together with necessary and sufficient conditions under which an R-valued fuzzy set corresponds to a linear code.en
dc.publisherElsevier-
dc.relation.ispartofFuzzy Sets and Systemsen
dc.subjectblock-codes | Fuzzy sets | relationsen
dc.titleRelational valued fuzzy setsen
dc.typeArticleen
dc.identifier.doi10.1016/0165-0114(92)90051-5en
dc.identifier.scopus2-s2.0-38249010629en
dc.relation.firstpage217en
dc.relation.lastpage222en
dc.relation.issue2en
dc.relation.volume52en
dc.description.rankM21-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextNo Fulltext-
crisitem.author.orcid0000-0002-5716-604X-
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