Results 11 to 20 of about 427,892 (185)
Intuitionistic FWI-ideals of residuated lattice Wajsberg algebras [PDF]
Ratio Mathematica, 2021 The notions of intutionistic fuzzy Wajsberg implicative ideal( –ideal) and intuitionistic fuzzy lattice ideal of residuated Wajsberg algebras are introduced.
Shanmugapriya R. Shanmugapriya +1 more
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Residuated Lattices with Noetherian Spectrum
Mathematics, 2022 In this paper, we characterize residuated lattices for which the topological space of prime ideals is a Noetherian space. The notion of i-Noetherian residuated lattice is introduced and related properties are investigated.
Dana Piciu, Diana Savin
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Integrally Closed Residuated Lattices [PDF]
Studia Logica, 2019 A residuated lattice is defined to be integrally closed if it satisfies the equations x\x = e and x/x = e. Every integral, cancellative, or divisible residuated lattice is integrally closed, and, conversely, every bounded integrally closed residuated lattice is integral.
José Gil-Férez +2 more
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Fuzzy Prime Ideal Theorem in Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, 2021 This paper mainly focuses on building the fuzzy prime ideal theorem of residuated lattices. Firstly, we introduce the notion of fuzzy ideal generated by a fuzzy subset of a residuated lattice and we give a characterization.
Pierre Carole Kengne +2 more
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Interval-Valued General Residuated Lattice-Ordered Groupoids and Expanded Triangle Algebras
Axioms, 2022 As an extension of interval-valued pseudo t-norms, interval-valued pseudo-overlap functions (IPOFs) play a vital role in solving interval-valued multi-attribute decision making problems.
Xiaohong Zhang, Rong Liang
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The Relations between Residuated Frames and Residuated Connections
Mathematics, 2020 We introduce the notion of (dual) residuated frames as a viewpoint of relational semantics for a fuzzy logic. We investigate the relations between (dual) residuated frames and (dual) residuated connections as a topological viewpoint of fuzzy rough sets ...
Yong Chan Kim, Ju-Mok Oh
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Residuated Structures Derived from Commutative Idempotent Semirings [PDF]
Discussiones Mathematicae - General Algebra and Applications, 2019 Since the reduct of every residuated lattice is a semiring, we can ask under what condition a semiring can be converted into a residuated lattice. It turns out that this is possible if the semiring in question is commutative, idempotent, G-simple and ...
Chajda Ivan, Länger Helmut
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Partial Residuated Implications Induced by Partial Triangular Norms and Partial Residuated Lattices
Axioms, 2023 This paper reveals some relations between fuzzy logic and quantum logic on partial residuated implications (PRIs) induced by partial t-norms as well as proposes partial residuated monoids (PRMs) and partial residuated lattices (PRLs) by defining partial ...
Xiaohong Zhang +2 more
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ℒ-Fuzzy Ideals of Residuated Lattices [PDF]
Discussiones Mathematicae - General Algebra and Applications, 2019 This paper mainly focuses on building the ℒ-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ℒ-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion
Kengne Pierre Carole +3 more
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On State Ideals and State Relative Annihilators in De Morgan State Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, 2022 The concept of state has been considered in commutative and noncommutative logical systems, and their properties are at the center for the development of an algebraic investigation of probabilistic models for those algebras.
Francis Woumfo +3 more
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