State operators on generalizations of fuzzy structures

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dc.contributor.author Dvurečenskij, Anatolij
dc.contributor.author Rachůnek, Jiří
dc.contributor.author Šalounová, Dana
dc.date.accessioned 2012-01-19T08:23:03Z
dc.date.available 2012-01-19T08:23:03Z
dc.date.issued 2012
dc.identifier.citation Fuzzy sets and systems. 2012, vol. 187, issue 1, p. 58-76. cs
dc.identifier.issn 0165-0114
dc.identifier.uri http://hdl.handle.net/10084/89841
dc.description.abstract We enlarge the language of R@?-monoids, which are a non-commutative generalizations of both MV algebras and BL algebras, by adding a unary operation that describes algebraic properties of a state (= an analog of probability measures). The resulting algebras are called stateR@?-monoids and state-morphismR@?-monoids. We present basic properties of such algebras. We describe subdirectly irreducible algebras, some generators of the varieties of state-morphism R@?-monoids, and an interplay between states and state operators. cs
dc.language.iso en cs
dc.publisher Elsevier cs
dc.relation.ispartofseries Fuzzy sets and systems cs
dc.relation.uri http://dx.doi.org/10.1016/j.fss.2011.05.023 cs
dc.title State operators on generalizations of fuzzy structures cs
dc.type article cs
dc.identifier.location Není ve fondu ÚK cs
dc.identifier.doi 10.1016/j.fss.2011.05.023
dc.type.status Peer-reviewed cs
dc.description.source Web of Science cs
dc.description.volume 187 cs
dc.description.issue 1 cs
dc.description.lastpage 76 cs
dc.description.firstpage 58 cs
dc.identifier.wos 000297872500003

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