Results 11 to 20 of about 70 (59)
The relations among fuzzy t-filters on residuated lattices. [PDF]
ScientificWorldJournal, 2014 We give the simple general principle of studying the relations among fuzzy t‐filters on residuated lattices. Using the general principle, we can easily determine the relations among fuzzy t‐filters on different logical algebras.
Zhang H, Li Q.
europepmc +2 more sources
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
wiley +1 more source
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
wiley +1 more source
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 The concepts of (commutative, transitive, left exchangeable, belligerent, antisymmetric) interior GE‐algebras and bordered interior GE‐algebras are introduced, and their relations and properties are investigated. Many examples are given to support these concepts. A semigroup is formed using the set of interior GE‐algebras.
Jeong-Gon Lee +4 more
wiley +1 more source
Annihilators in Universal Algebras: A New Approach
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 The purpose of this paper is to study annihilators and annihilator ideals in a more general context; in universal algebras.
Gezahagne Mulat Addis, Andrei V. Kelarev
wiley +1 more source
Fuzzy decision implications: interpretation within fuzzy decision context
CAAI Transactions on Intelligence Technology, Volume 4, Issue 4, Page 231-236, December 2019., 2019 Fuzzy decision implication is an extension of decision implication in the fuzzy setting, serving to uncover the dependencies of fuzzy attributes. This study presents the interpretation of fuzzy decision implication in the fuzzy decision context. Specially, they will show that from fuzzy decision contexts one can obtain a closed fuzzy set of fuzzy ...
Jing Zhang, Yanhui Zhai, Deyu Li
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Complexity, Volume 2017, Issue 1, 2017., 2017 Rough set theory has been used extensively in fields of complexity, cognitive sciences, and artificial intelligence, especially in numerous fields such as expert systems, knowledge discovery, information system, inductive reasoning, intelligent systems, data mining, pattern recognition, decision‐making, and machine learning.
Abbas Mardani +6 more
wiley +1 more source
The Lattice Structure of L‐Contact Relations
Advances in Fuzzy Systems, Volume 2016, Issue 1, 2016., 2016 From the point of view of graded truth approach, we define the notion of a contact relation on the collection of all L‐sets, discuss the connection to the set of all close, reflexive, and symmetric relations on all L‐ultrafilters on X, and investigate the algebraic structure of all L‐contact relations.
Xueyou Chen, Rustom M. Mamlook
wiley +1 more source
Vague Congruences and Quotient Lattice Implication Algebras
The Scientific World Journal, Volume 2014, Issue 1, 2014., 2014 The aim of this paper is to further develop the congruence theory on lattice implication algebras. Firstly, we introduce the notions of vague similarity relations based on vague relations and vague congruence relations. Secondly, the equivalent characterizations of vague congruence relations are investigated.
Xiaoyan Qin +3 more
wiley +1 more source
Folding Theory Applied to Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2014 Residuated lattices play an important role in the study of fuzzy logic based on t‐norms. In this paper, we introduce some notions of n‐fold filters in residuated lattices, study the relations among them, and compare them with prime, maximal and primary, filters. This work generalizes existing results in BL‐algebras and residuated lattices, most notably
Albert Kadji +4 more
wiley +1 more source