Results 11 to 20 of about 551 (105)
States and Measures on Hyper BCK-Algebras
Journal of Applied Mathematics, 2014 We define the notions of Bosbach states and inf-Bosbach states on a bounded hyper BCK-algebra (H,∘,0,e) and derive some basic properties of them. We construct a quotient hyper BCK-algebra via a regular congruence relation.
Xiao-Long Xin, Pu Wang
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SOME CLASSES OF STATE IDEALS IN STATE MV -ALGEBRAS
Eurasian Mathematical Journal, 2019 Summary: In this paper, we introduce some types of state ideals in state MV-algebras such as: obstinate state ideals, primary state ideals and Boolean state ideals in state MV-algebras. We present some characterizations of them and investigate some relations between them.
Forouzesh, Fereshteh, Darijani, Ali
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ON THE LOOMIS–SIKORSKI THEOREM FOR MV-ALGEBRAS WITH INTERNAL STATE [PDF]
Journal of the Australian Mathematical Society, 2010 AbstractIn Flaminio and Montagna [‘An algebraic approach to states on MV-algebras’, in:Fuzzy Logic 2,Proc. 5th EUSFLAT Conference, Ostrava, 11–14 September 2007 (ed. V. Novák) (Universitas Ostraviensis, Ostrava, 2007), Vol. II, pp. 201–206; ‘MV-algebras with internal states and probabilistic fuzzy logic’,Internat. J. Approx.
DI NOLA, Antonio +2 more
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On varieties of MV-algebras with internal states
International Journal of Approximate Reasoning, 2010 Flaminio and Montagna developed a logic where (de Finetti) coherence of a conditional assessment \(C\) is expressible as logical coherence of a suitably defined theory \(T(C)\) in the logic. The algebras of this logic are known as SMV-algebras. In earlier papers, the authors of the paper under review introduced a variant of SMV-algebras, called ``state-
DI NOLA, Antonio +2 more
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MV-algebras with internal states and probabilistic fuzzy logics
International Journal of Approximate Reasoning, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
FLAMINIO T., MONTAGNA F.
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On States on MV-algebras and their Applications [PDF]
Journal of Logic and Computation, 2009 We present the notion of a state, as averaging or a probabilistic assessment in many-valued reasoning. We show what a state can be in different algebraic structures, and also present a new trends using de Finetti's coherence principle or state MV-algebras where the state is an internal notion.
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Two Remarks to Bifullness of Centers of Archimedean Atomic Lattice Effect Algebras
Acta Polytechnica, 2011 Lattice effect algebras generalize orthomodular lattices as well as MV-algebras. This means that within lattice effect algebras it is possible to model such effects as unsharpness (fuzziness) and/or non-compatibility. The main problem is the existence of
M. Kalina
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MV-algebras, multiple bets and subjective states
International Journal of Approximate Reasoning, 2000 The game of twenty questions with lies, first considered by Ulam and Rényi, is an important chapter of the theory of error correcting codes with feedback. See the survey paper by \textit{F. Cicalese, U. Vaccaro} and the present reviewer [``Rota-Metropolis cubic logic and Ulam-Rényi games'', in: H. Crapo et al.
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Riesz space-valued states on pseudo MV-algebras
, 2017 We introduce Riesz space-valued states, called $(R,1_R)$-states, on a pseudo MV-algebra, where $R$ is a Riesz space with a fixed strong unit $1_R$. Pseudo MV-algebras are a non-commutative generalization of MV-algebras. Such a Riesz space-valued state is a generalization of usual states on MV-algebras.
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Equivariant multiplicities via representations of quantum affine algebras. [PDF]
Sel Math New Ser, 2023 Casbi E, Li JR.
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