Results 11 to 20 of about 230,290 (221)
$MV$-test spaces versus $MV$-algebras [PDF]
Mathematica Bohemica, 2004 summary:In analogy with effect algebras, we introduce the test spaces and $MV$-test spaces. A test corresponds to a hypothesis on the propositional system, or, equivalently, to a partition of unity.
Nola, Antonio Di +3 more
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Epimorphisms between finite MV-algebras [PDF]
Mathematica Bohemica, 2017 MV-algebras were introduced by Chang to prove the completeness of the infinite-valued Łukasiewicz propositional calculus. Recently, algebraic theory of MV-algebras has been intensively studied.
Aldo V. Figallo, Marina B. Lattanzi
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Derivations of MV-Algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2010 We introduce the notion of derivation for an MV-algebra and discuss some related properties. Using the notion of an isotone derivation, we give some characterizations of a derivation of an MV-algebra.
N. O. Alshehri
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On extended quasi-MV algebras [PDF]
Ratio Mathematica, 2021 In this paper, we introduce a new algebraic structure called extended quasi-MV algebras, which are generalizations of quasi-MV algebras. The notions of ideals, ideal congruences and filters in Equasi-MV algebras were introduced and their mutual ...
Mengmeng Liu, Hongxing Liu
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Rényi Entropy and Rényi Divergence in Product MV-Algebras [PDF]
Entropy, 2018 This article deals with new concepts in a product MV-algebra, namely, with the concepts of Rényi entropy and Rényi divergence. We define the Rényi entropy of order q of a partition in a product MV-algebra and its conditional version ...
Dagmar Markechová, Beloslav Riečan
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On The Spectrum of Countable MV-algebras [PDF]
Transactions on Fuzzy Sets and Systems, 2023 In this paper we consider MV-algebras and their prime spectrum. We show that there is an uncountable MV-algebra that has the same spectrum as the free MV-algebra over one element, that is, the MV-algebra $Free_1$ of McNaughton functions from $[0,1]
Giacomo Lenzi
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, 2007 The authors introduce the class of Symmetric MV-algebras. Such algebras have a suitable behavior with respect to a family of MV-polynomials. It turns out that the class of Symmetric MV-algebras can be characterized as the class of MV-algebras having ...
LETTIERI, ADA, DI NOLA A, BELLUCE L. P
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On MV-Algebraic Versions of the Strong Law of Large Numbers [PDF]
Entropy, 2019 Many-valued (MV; the many-valued logics considered by Łukasiewicz)-algebras are algebraic systems that generalize Boolean algebras. The MV-algebraic probability theory involves the notions of the state and observable, which abstract the probability ...
Piotr Nowak, Olgierd Hryniewicz
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Czechoslovak Mathematical Journal, 2003 summary:In the present paper we show that free $MV$-algebras can be constructed by applying free abelian lattice ordered ...
Jakubík, Ján
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On t-derivations of PMS-algebras [version 1; peer review: 2 approved] [PDF]
F1000ResearchBackground PMS algebras are a type of algebraic structure that has been studied extensively in recent years. They are a generalization of several other algebraic structures, such as Boolean algebras and MV-algebras.
Zelalem Teshome Wale +3 more
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