Results 21 to 30 of about 114 (93)

BL-Algebras with Permuting Tri-Derivations

Journal of New Theory, 2023
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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MV-ALGEBRAS AND BL-ALGEBRAS [PDF]

Fiabilitate şi Durabilitate, 2013
This material is studying MV-algebras and BL-algebras in terms of applicability inBoole.Algebrele Boole algebra expanded use in fuzzy logic.
Constantin BOGDAN, Olimpia-Mioara PECINGINA   +1 more
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Tense Operators on BL-algebras and Their Applications

Bulletin of the Section of Logic, 2021
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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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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States on basic algebras [PDF]

Mathematica Bohemica, 2017
States on commutative basic algebras were considered in the literature as generalizations of states on MV-algebras. It was a natural question if states exist also on basic algebras which are not commutative.
Ivan Chajda, Helmut Länger
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Derivations of MV-Algebras

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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Some results on pseudo MV-algebras with n-roots

Ratio Mathematica
The paper provides a study of pseudo MV-algebras with $n$-roots. We outline their main properties and establish that the class of MV-algebras with $n$-roots forms a variety.
Chen Xinrong, Hongxing Liu
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Paraconsistency in the Logic sqŁ^*

Axioms
The logic sqŁ* is closely related to complex fuzzy sets. In this paper, we continue our study on sqŁ* by establishing a system that includes all formulas with values 0 in sqŁ*. This system has paraconsistent formulas within sqŁ*.
Lei Cai, Wenjuan Chen
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On MV-algebras of non-linear functions [PDF]

Categories and General Algebraic Structures with Applications, 2017
In this paper, the main results are:a study of the finitely generated MV-algebras of continuous functions from the n-th power of the unit real interval I to I;a study of Hopfian MV-algebras; anda category-theoretic study of the map sending an MV-algebra ...
Antonio Di Nola, Giacomo Lenzi, Gaetano Vitale   +2 more
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Semantics of Propositional Fuzzy Modal Logic with Evaluated Syntax and its Application to Fuzzy Decision Implications [PDF]

International Journal of Computational Intelligence Systems, 2015
This paper deals with propositional fuzzy modal logic with evaluated syntax based on MV-algebras. We focus on its semantical theory from the viewpoint of Pavelka's graded semantics of propositional fuzzy logic, investigate the L-tautologies based on ...
Xiaodong Pan, Yang Xu
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