Results 31 to 40 of about 662 (160)
Topologies on residuated lattices
Journal of Logic and Computation, 2022 Abstract The main aim of this paper is to investigate the topologies that constructed by some ideals on residuated lattices and some topologies which induced by lattice ideals and distance functions on involutive residuated lattices. To begin with, we present that prime $\oplus $-ideals and prime $\boxplus $-ideals are coincident on $MTL$
Wei Wang, Bin Zhao
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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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(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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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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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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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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On State Ideals and State Relative Annihilators in De Morgan State Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 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. This article mainly focuses on the study of the lattice of state ideals in De Morgan state residuated lattices (DMSRLs).
Francis Woumfo +4 more
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The main goal of this paper is to introduce and investigate the related theory on monadic effect algebras. First, we design the axiomatic system of existential quantifiers on effect algebras and then use it to give the definition of the universal quantifier and monadic effect algebras.
Yuxi Zou, Xiaolong Xin, Li Guo
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Graph based on residuated lattices [PDF]
Journal of Hyperstructures, 2014 In this paper, the residuated graph of residuated lattices will be studied. To do so, the notion of zero divisors of a nonempty subset of a residuated lattice is first introduced and some related properties are investigated.
L. Torkzadeh, A. Ahadpanh, M. Behzadi
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ℒ‐Fuzzy Cosets of ℒ‐Fuzzy Filters of Residuated Multilattices
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 This paper mainly focuses on building the ℒ‐fuzzy filter theory of residuated multilattices. Firstly, we introduce the concepts of ℒ‐fuzzy filter and ℒ‐fuzzy deductive system of residuated multilattices. Then, we highlight their properties and show how they are linked.
Pierre Carole Kengne +4 more
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