Results 81 to 90 of about 174 (157)
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this paper, we introduce residuated n-lattice: a variety of residuated semigroup equipped with binary hyperoperations n-sup and n-inf. We define the left bound, right bound, n-supremum, n-infimum, maximum and minimum with respect to it′s relation. By these way, the notion of residuated semigroup has been generalized.
Zahiri Saeide, Saeid Arsham Borumand
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The “Generator” of Int-Soft Filters on Residuated Lattices
Mathematics, 2019 In this paper, we give the “generator” of int-soft filters and propose the notion of t-int-soft filters on residuated lattices. We study the properties of t-int-soft filters and obtain some commonalities (e.g., the extension property ...
Huarong Zhang, Minxia Luo
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Implication in finite posets with pseudocomplemented sections. [PDF]
Soft comput, 2022 Chajda I, Länger H.
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State filters in state residuated lattices [PDF]
Categories and General Algebraic Structures with Applications, 2019 In this paper, we introduce the notions of prime state filters, obstinate state filters, and primary state filters in state residuated lattices and study some properties of them.
Zahra Dehghani, Fereshteh Forouzesh
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Fuzzy Weak Regular, Strong and Preassociative Filters in Residuated Lattices
Fuzzy Information and Engineering, 2014 In this paper, the notions of fuzzy weak regular, strong and preassociative filters are introduced with some properties of them investigated. In particular, under the context of Glivenko algebras, fuzzy weak regular filters and regular ones are ...
Wei Yang
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Sheffer operation in relational systems. [PDF]
Soft comput, 2022 Chajda I, Länger H.
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Uniqueness Theorem in Complete Residuated Almost Distributive Lattices
Discussiones Mathematicae - General Algebra and Applications, 2019 Important properties of primary elements in a complete residuated ADL L and the uniqueness theorem in a complete complemented residuated ADL L are proved.
Rao G.C., Raju S.S.
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Optimised ExpTime Tableaux for 𝒮ℋℐ𝒩 over Finite Residuated Lattices
Journal of Applied Mathematics, 2014 This study proposes to adopt a novel tableau reasoning algorithm for the description logic 𝒮ℋℐ𝒩 with semantics based on a finite residuated De Morgan lattice.
Jian Huang, Xinye Zhao, Jianxing Gong
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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
doaj
Remarks on some connections between ideals and filters in residuated lattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIdeals and filters are important notions with different meanings in the study of algebraic structures related to logical systems. In this paper we establish new connections between these concepts in residuated lattices.
Piciu Dana +2 more
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