Results 21 to 30 of about 176 (149)
M‐Hazy Module and Its Homomorphism Theorem
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 Based on a completely distributive lattice M, we propose a new fuzzification approach to a module, which leads to the concept of an M‐hazy module. Different from the traditional fuzzification approach that defines a fuzzy algebra as a fuzzy subset of a classical algebra, we introduce an M‐hazy module by fuzzifications of algebraic operations.
Donghua Huo, Hongyu Liu, Zafar Ullah
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The Fuzzy Prime Spectrum of Partially Ordered Sets
International Journal of Mathematics and Mathematical Sciences, Volume 2023, Issue 1, 2023., 2023 We study the space of prime fuzzy ideals (and the space of maximal fuzzy ideals as a subspace) equipped with the hull‐kernel topology in partially ordered sets. Mainly, we investigate the conditions for which the fuzzy prime spectrum of a poset is compact, Hausdorff, and normal, respectively.
Derso Abeje Engidaw +6 more
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(Skew) Filters in Residuated Skew Lattices [PDF]
Scientific Annals of Computer Science, 2018 In this paper, we show the relationship between (skew) deductive system and (skew) filter in residuated skew lattices. It is shown that if a residuated skew lattice is conormal, then any skew deductive system is a skew filter under a condition and ...
R. Koohnavard, A. Borumand Saeid
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Quasicomplemented residuated lattices [PDF]
Soft Computing, 2020 In this paper, the class of quasicomplemented residuated lattices is introduced and investigated, as a subclass of residuated lattices in which any prime filter not containing any dense element is a minimal prime filter. The notion of disjunctive residuated lattices is introduced and it is observed that a residuated lattice is Boolean if and only if it
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Residuated Structures and Orthomodular Lattices [PDF]
Studia Logica, 2021 AbstractThe variety of (pointed) residuated lattices includes a vast proportion of the classes of algebras that are relevant for algebraic logic, e.g., $$\ell $$ ℓ -groups, Heyting algebras, MV-algebras, or De Morgan monoids.
fazio, davide +2 more
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Some Properties of Weak Γ‐Hyperfilters in OrderedΓ‐Semihypergroups
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 The main purpose of this paper is to study fundamental properties of weak Γ‐hyperfilters on ordered Γ‐semihypergroups that is a generalization of Γ‐hyperfilters. Also, we investigate the relationship between weak Γ‐hyperfilters and prime Γ‐hyperideals in ordered Γ‐semihypergroups.
Yongsheng Rao +4 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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A General Categorical Framework of Minimal Realization Theory for a Fuzzy Multiset Language
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This paper is to study the minimal realization theory for a fuzzy multiset language in the framework of category theory, which has already provided the tools and techniques for the advancement of several features of theoretical computer science. Specifically, by using the well‐known categorical concepts, it is shown herein that there is a minimal ...
Swati Yadav, S. P. Tiwari, Ali Ahmadian
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Pseudo Quasi-Ordered Residuated Systems, An Introduction
Pan-American Journal of Mathematics, 2022 The concept of quasi-ordered residuated systems was introduced in 2018 by S. Bonzio and I. Chajda as a generalization of both hoop-algebras and commutative residuated lattices ordered by quasi-orders.
Daniel A. Romano
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Fuzzy Ideals in Pseudo‐Hoop Algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 In this study, fuzzy ideals in pseudo‐hoop algebras are presented. Also, we investigate fuzzy congruences relations on pseudo‐hoop algebras induced by fuzzy ideals. By using fuzzy ideals, we create the fuzzy quotient pseudo‐hoop algebras and identify and demonstrate the one‐to‐one relationship between the set of all normal fuzzy ideals of a pseudo‐hoop
Teferi Getachew Alemayehu +1 more
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