Results 1 to 10 of about 2,017 (178)
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 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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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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Classes of Int-Soft Filters in Residuated Lattices [PDF]
The Scientific World Journal, 2014 The notions of int-soft filters, int-soft G-filters, regular int-soft filters, and MV-int-soft filters in residuated lattices are introduced, and their relations, properties, and characterizations are investigated. Conditions for an int-soft filter to be
Young Bae Jun +2 more
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Journal of Hyperstructures, 2023 In this paper, we introduce the notion of hyper JK-algebras and investigate these algebras properties. Moreover, we present relationships between hyper JK-algebras and pseudo hyper BCK-algebras and hyper pseudo MV-algebras under some conditions.
Mohammad Ali Hashemi
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On Quantum-MV algebras - Part II: Orthomodular Lattices, Softlattices and Widelattices [PDF]
Transactions on Fuzzy Sets and Systems, 2022 Orthomodular lattices generalize the Boolean algebras; they have arisen in the study of quantum logic. Quantum-MV algebras were introduced as non-lattice theoretic generalizations of MV algebras and as non-idempotent generalizations of ...
Afrodita Iorgulescu
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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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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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Reflectional topology in MV-algebras [PDF]
Categories and General Algebraic Structures with Applications, 2022 In this paper, we define soaker ideals in an MV-algebra, and study the relationships between soaker ideals and the other ideals in an involutive MV -algebras.
Fereshteh Forouzesh, Naser Hosseini
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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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