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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F12%3A33141248%21RIV13-MSM-15310___
rdf:type
n10:Vysledek skos:Concept
dcterms:description
We enlarge the language of Rl-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 state Rl-monoids and state-morphism Rl-monoids. We present basic properties of such algebras. We describe subdirectly irreducible algebras, some generators of the varieties of state-morphism Rl-monoids, and an interplay between states and state operators. We enlarge the language of Rl-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 state Rl-monoids and state-morphism Rl-monoids. We present basic properties of such algebras. We describe subdirectly irreducible algebras, some generators of the varieties of state-morphism Rl-monoids, and an interplay between states and state operators.
dcterms:title
State operators on generalizations of fuzzy structures State operators on generalizations of fuzzy structures
skos:prefLabel
State operators on generalizations of fuzzy structures State operators on generalizations of fuzzy structures
skos:notation
RIV/61989592:15310/12:33141248!RIV13-MSM-15310___
n10:predkladatel
n20:orjk%3A15310
n3:aktivita
n4:Z n4:I
n3:aktivity
I, Z(MSM6198959214)
n3:cisloPeriodika
1
n3:dodaniDat
n11:2013
n3:domaciTvurceVysledku
n6:3424154 n6:6059597
n3:druhVysledku
n12:J
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
171132
n3:idVysledku
RIV/61989592:15310/12:33141248
n3:jazykVysledku
n14:eng
n3:klicovaSlova
state; generators of varieties; subdirectly irreducible algebras; state-morphism operator; state operator; residuated lattice; algebras of fuzzy logics
n3:klicoveSlovo
n8:state%20operator n8:state-morphism%20operator n8:residuated%20lattice n8:algebras%20of%20fuzzy%20logics n8:state n8:subdirectly%20irreducible%20algebras n8:generators%20of%20varieties
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[876B4EC782EF]
n3:nazevZdroje
Fuzzy Sets and Systems
n3:obor
n18:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
3
n3:rokUplatneniVysledku
n11:2012
n3:svazekPeriodika
187
n3:tvurceVysledku
Rachůnek, Jiří Dvurečenskij, Anatolij Šalounová, Dana
n3:wos
000297872500003
n3:zamer
n5:MSM6198959214
s:issn
0165-0114
s:numberOfPages
19
n9:doi
10.1016/j.fss.2011.05.023
n16:organizacniJednotka
15310