Results 1 to 10 of about 3,003,652 (178)
Tsallis Entropy of Product MV-Algebra Dynamical Systems [PDF]
Entropy, 2018 This paper is concerned with the mathematical modelling of Tsallis entropy in product MV-algebra dynamical systems. We define the Tsallis entropy of order α , where α ∈ ( 0 , 1 ) ∪ ( 1 , ∞ ) , of a partition in ...
Dagmar Markechová, Beloslav Riečan
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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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Logical entropy of dynamical systems in product MV-algebras and general scheme [PDF]
Advances in Difference Equations, 2019 The present paper is aimed at studying the entropy of dynamical systems in product MV-algebras. First, by using the concept of logical entropy of a partition in a product MV-algebra introduced and studied by Markechová et al.
Dagmar Markechová, Beloslav Riečan
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Logical Divergence, Logical Entropy, and Logical Mutual Information in Product MV-Algebras [PDF]
Entropy, 2018 In the paper we propose, using the logical entropy function, a new kind of entropy in product MV-algebras, namely the logical entropy and its conditional version.
Dagmar Markechová +2 more
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Kullback–Leibler Divergence and Mutual Information of Partitions in Product MV Algebras [PDF]
Entropy, 2017 The purpose of the paper is to introduce, using the known results concerning the entropy in product MV algebras, the concepts of mutual information and Kullback–Leibler divergence for the case of product MV algebras and examine algebraic properties of ...
Dagmar Markechová, Beloslav Riečan
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Fuzzy n-fold obstinate ideals in mv -algebras [PDF]
Journal of Hyperstructures, 2019 . In this paper, we introduce the notion of n-fold Boolean ideals of an MV -algebra and consider the quotient algebras induced by n-fold Boolean ideals. Also we prove that I is a n-fold Boolean ideal of an MV -algebra if and only if A/I is a n+1-bounded ...
Fereshteh Forouzesh
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International Journal of Computational Intelligence Systems, 2020 In this paper, by considering the notion of MV-modules, which is the structure that naturally correspond to lu-modules over lu-rings, we investigate some properties of a new kind of MV-modules, that we introduced in Borzooei and Saidi Goraghani, Free MV ...
S. Saidi Goraghani +3 more
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Boolean Products of MV-Algebras: Hypernormal MV-Algebras
Journal of Mathematical Analysis and Applications, 1996 Introduced by C. C. Chang in the late fifties as the Lindenbaum algebras of the infinite-valued calculus of Lukasiewicz, MV-algebras have been attracting renewed interest in the last decade, because they form an equational class being naturally equivalent to the category of lattice-ordered abelian groups with strong unit. As a consequence, countable MV-
Cignoli, R., Torrell, A.T.
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Pseudo MV-algebras and lexicographic product [PDF]
Fuzzy Sets and Systems, 2016 arXiv admin note: text overlap with arXiv:1304 ...
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Study of MV-algebras via derivations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 The main goal of this paper is to give some representations of MV-algebras in terms of derivations. In this paper, we investigate some properties of implicative and difference derivations and give their characterizations in MV-algebras.
Wang Jun Tao, She Yan Hong, Qian Ting
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