Results 21 to 30 of about 222 (197)
The main aim of this article is to study tense MV-algebras which are just MV-algebras with new unary operations $G$ and $H$ which express a universal time quantifiers. Tense MV-algebras were introduced by D. Diagonescu and G. Georgescu. Using a new notion of an fm-function between MV-algebras we \zruseno{will prove} \zmena{settle a half of their Open ...
Michal Botur, Jan Paseka
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Kullback–Leibler Divergence and Mutual Information of Partitions in Product MV Algebras
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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Square root of a multivector in 3D Clifford algebras
The problem of square root of multivector (MV) in real 3D (n = 3) Clifford algebras Cl3;0, Cl2;1, Cl1;2 and Cl0;3 is considered. It is shown that the square root of general 3D MV can be extracted in radicals.
Adolfas Dargys, Artūras Acus
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Inverse topology in MV-algebras [PDF]
We introduce the inverse topology on the set of all minimal prime ideals of an MV-algebra $A$ and show that the set of all minimal prime ideals of $A$, namely ${\rm Min}(A)$, with the inverse topology is a compact space, Hausdorff, $T_0$-space and $T_1 ...
Fereshteh Forouzesh +2 more
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DERIVATIONS OF MV-ALGEBRAS FROM HYPER MV-ALGEBRAS
Summary: In this paper, we investigate some new results in MV-algebras and (strong) hyper MV-algebras. We show that for any infinite countable set \(M\), we can construct an MV-algebra and a strong hyper MV-algebra on \(M\). Specially, for any infinite totally bounded set, we can construct a strong hyper MV-algebra on it.
Hamidi, M., Borzooei, R. A.
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PSEUDO MV-ALGEBRAS SI PSEUDO BL-ALGEBRAS [PDF]
This material is studying MV-algebras and BL-algebras in terms of applicability in Boolealgebra.Boole algebras expanded use in fuzzy logic.
Constantin BOGDAN +1 more
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BL-Algebras with Permuting Tri-Derivations
Basic logic algebras (BL-algebras) were introduced by Hajek. Multi-value algebras (MV-algebras), Gödel algebras, and product algebras are particular cases of BL-algebras.
Damla Yılmaz
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Stone MV-algebras and strongly complete MV-algebras [PDF]
15 ...
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MV-ALGEBRAS AND BL-ALGEBRAS [PDF]
This material is studying MV-algebras and BL-algebras in terms of applicability inBoole.Algebrele Boole algebra expanded use in fuzzy logic.
Constantin BOGDAN +1 more
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Tense Operators on BL-algebras and Their Applications
In this paper, the notions of tense operators and tense filters in BL-algebras are introduced and several characterizations of them are obtained. Also, the relation among tense BL-algebras, tense MV-algebras and tense Boolean algebras are investigated ...
Akbar Paad
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