Results 91 to 100 of about 1,853 (178)
Normal filters in residuated lattices
Le Matematiche, 2015 Residuated lattices play an important role in the study of fuzzy logic. In the present paper, we introduce the notion of a normal filter in a residuated lattice and give some characterizations of them.
Lida Torkzadeh, A. Ahadpanah
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Solving Generalized Equations with Bounded Variables and Multiple Residuated Operators
Mathematics, 2020 This paper studies the resolution of sup-inequalities and sup-equations with bounded variables such that the sup-composition is defined by using different residuated operators of a given distributive biresiduated multi-adjoint lattice. Specifically, this
M. Eugenia Cornejo +2 more
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Fundamental residuated lattices.
, 2014 Summary: For any countable set \(X\), we construct a residuated lattice and weak hyper residuated lattice on \(X\). Next, using the notion of (strongly) regular relation we construct the corresponding quotient weak hyper residuated lattice. Finally, by considering the fundamental relation we define the fundamental residuated lattice and we show that ...
Borzooei, R., Niazian, S.
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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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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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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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Sheffer operation in relational systems. [PDF]
Soft comput, 2022 Chajda I, Länger H.
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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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