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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. (en)
Title
  • State operators on generalizations of fuzzy structures
  • State operators on generalizations of fuzzy structures (en)
skos:prefLabel
  • State operators on generalizations of fuzzy structures
  • State operators on generalizations of fuzzy structures (en)
skos:notation
  • RIV/61989592:15310/12:33141248!RIV13-MSM-15310___
http://linked.open...avai/predkladatel
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  • I, Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 1
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  • 171132
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  • RIV/61989592:15310/12:33141248
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  • state; generators of varieties; subdirectly irreducible algebras; state-morphism operator; state operator; residuated lattice; algebras of fuzzy logics (en)
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  • NL - Nizozemsko
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  • [876B4EC782EF]
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  • Fuzzy Sets and Systems
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  • 187
http://linked.open...iv/tvurceVysledku
  • Rachůnek, Jiří
  • Šalounová, Dana
  • Dvurečenskij, Anatolij
http://linked.open...ain/vavai/riv/wos
  • 000297872500003
http://linked.open...n/vavai/riv/zamer
issn
  • 0165-0114
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.fss.2011.05.023
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  • 15310
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