Results 31 to 40 of about 2,017 (178)
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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Pavelka-style completeness in expansions of \L ukasiewicz logic [PDF]
, 2008 An algebraic setting for the validity of Pavelka style completeness for some natural expansions of \L ukasiewicz logic by new connectives and rational constants is given.
Freytes, Hector
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International Journal of Approximate Reasoning, 2011 We present a complete characterization of subdirectly irreducible MV-algebras with internal states (SMV-algebras). This allows us to classify subdirectly irreducible state morphism MV-algebras (SMMV-algebras) and describe single generators of the variety of SMMV-algebras, and show that we have a continuum of varieties of SMMV-algebras.
Dvurecenskij A. +2 more
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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 +1 more
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Quasi-MV algebras for complex fuzzy logic
AIMS Mathematics, 2022 Complex fuzzy logic (CFL) is an emerging topic of research in fuzzy logic. Due to the circle structured codomain of the complex membership function, algebraic structure (including MV-algebra) in traditional fuzzy logic cannot be easily transplanted to ...
Songsong Dai
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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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Subdirectly Irreducible MV-Algebras [PDF]
Czechoslovak Mathematical Journal, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Stone duality above dimension zero: Axiomatising the algebraic theory of C(X) [PDF]
, 2016 It has been known since the work of Duskin and Pelletier four decades ago that KH^op, the category opposite to compact Hausdorff spaces and continuous maps, is monadic over the category of sets.
Marra, Vincenzo, Reggio, Luca
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