State operators on generalizations of fuzzy structures

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.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.description.firstpage	58	cs
dc.description.issue	1	cs
dc.description.lastpage	76	cs
dc.description.source	Web of Science	cs
dc.description.volume	187	cs
dc.identifier.citation	Fuzzy Sets and Systems. 2012, vol. 187, issue 1, p. 58-76.	cs
dc.identifier.doi	10.1016/j.fss.2011.05.023
dc.identifier.issn	0165-0114
dc.identifier.location	Není ve fondu ÚK	cs
dc.identifier.uri	http://hdl.handle.net/10084/89841
dc.identifier.wos	000297872500003
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.type.status	Peer-reviewed	cs

Files

Now showing 1 - 1 out of 1 results