Results 71 to 80 of about 200 (159)
Commutative Rings Behind Divisible Residuated Lattices
MathematicsDivisible residuated lattices are algebraic structures corresponding to a more comprehensive logic than Hajek’s basic logic with an important significance in the study of fuzzy logic.
Cristina Flaut, Dana Piciu
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Implication in finite posets with pseudocomplemented sections. [PDF]
Soft comput, 2022 Chajda I, Länger H.
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Non-commutative residuated lattices [PDF]
Transactions of the American Mathematical Society, 1939 In the theory of non-commutative rings certain distinguished subrings, one-sided and two-sided ideals, play the important roles. Ideals combine under crosscut, union and multiplication and hence are an instance of a lattice over which a non-commutative multiplication is defined.† The investigation of such lattices was begun by W.
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Homomorphisms between Fuzzy Approximation Spaces Based on Residuated Lattice
Journal of Applied Mathematics, 2014 Two kinds of homomorphisms of fuzzy approximation spaces based on complete residuated lattice are proposed. The homomorphisms are structure-preserving maps in some sense.
Yuan Zhao
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Abstract residuation over lattices [PDF]
Bulletin of the American Mathematical Society, 1938 The idea of residuation goes back to Dedekind [3], † who introduced it in the theory of modules. It has since had extensive applications in the theory of algebraic modular systems [6], in the theory of ideals [8], and in certain topics of arithmetic [9]. On account of its fundamental role in several fields of modern algebra, it is desirable to consider
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F1000ResearchThis paper introduces the concept of fuzzy filters and 2-fuzzy filters of a quasi-ordered residuated system K . This research explores comparative, normal, implicative and associative fuzzy filters within a quasi-ordered residuated system. It establishes
Teferi Getachew Alemayehu +1 more
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Sheffer operation in relational systems. [PDF]
Soft comput, 2022 Chajda I, Länger H.
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Pointed Lattice Subreducts of Varieties of Residuated Lattices
OrderAbstract We study the pointed lattice subreducts of varieties of residuated lattices (RLs) and commutative residuated lattices (CRLs), i.e. lattice subreducts expanded by the constant $$\textsf{1}$$
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An Exploration of Ideals and Filters in Triangle Algebras
AxiomsIn the study of algebraic structures related to logical systems, ideals and filters have different meanings and are algebraic notions related to logical provable formulas.
Euclide Noumen +3 more
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