Results 41 to 50 of about 106 (105)
On Properties of t-Fuzzy Modules and Uniform t-Fuzzy Modules
Discussiones Mathematicae - General Algebra and Applications, 2019 In this paper, we extend the idea of fuzzy modules and uniform fuzzy modules to the concepts of t-fuzzy modules and uniform t-fuzzy modules, respectively. We give some characterizations and properties of t-fuzzy modules and uniform t-fuzzy modules.
Baupradist Samruam, Chemat Burhan
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Open Mathematics, 2019 This paper presents a new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness based on L-fuzzy α-open operators introduced by Nannan and Ruiying [1] and implication operation. The proposed representation extends the properties
Ghareeb A., Al-Saadi H. S., Khalil O. H.
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Order of Finite Soft Quasigroups with Application to Egalitarianism
Discussiones Mathematicae - General Algebra and Applications, 2022 In this work, a soft set (F, A) was introduced over a quasigroup (Q,) and the study of finite soft quasigroup was carried out, motivated by the study of algebraic structures of soft sets.
Oyem A., Jaiyéọlá T.G., Olaleru J.O.
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Studying the Theory of Hoops Through Some Type of Filters
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.It is known that the class of hoops is ideally determined, in the sense that every filter of any hoop H is a 1‐class of a unique congruence relation on H. This confirms that every filter in a hoop determines one and only one quotient structure. So, given a hoop H and a filter π of H, it is natural to question ourselves what should be the defining ...
Gezahagne Mulat Addis +2 more
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Geometry of generators of triangular norms and copulas
Dependence ModelingWe study the relations between the shapes of strict triangular norms and their generators. The generators are not unique; to avoid this ambiguity, we introduce the class of balanced generators.
Houšková Kamila, Navara Mirko
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Principal Intuitionistic Fuzzy Ideals and Filters on a Lattice
Discussiones Mathematicae - General Algebra and Applications, 2020 In this paper, we generalize the notion of principal ideal (resp. filter) on a lattice to the setting of intuitionistic fuzzy sets and investigate their various characterizations and properties.
Boudaoud Sarra +2 more
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On q`‐Rung Orthopair Neutrosophic Metric Spaces and Topological Properties
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this paper, we introduce the novel structure of the q`‐rung orthopair neutrosophic metric space (q`‐RˇONM∧S), which unifies and extends the frameworks of q`‐rung orthopair fuzzy sets and neutrosophic metric spaces. The proposed model incorporates membership, nonmembership, and indeterminacy degrees within a q`‐rung orthopair framework, thereby ...
N. Muthulakshmi +4 more
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.A multigranulation roughness over dual universes establishes a unique viewpoint on the mixture of multigranulation data. Spherical fuzzy set is an extension of all existing theories such as fuzzy set, pythagorean fuzzy set, intuitionistic fuzzy set, and picture fuzzy set.
Rabia Mazhar +4 more
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Fuzzy ideals of ordered semigroups with fuzzy orderings
Open Mathematics, 2016 The purpose of this paper is to introduce the notions of ∈, ∈ ∨qk-fuzzy ideals of a fuzzy ordered semigroup with the ordering being a fuzzy relation. Several characterizations of ∈, ∈ ∨qk-fuzzy left (resp. right) ideals and ∈, ∈ ∨qk-fuzzy interior ideals
Huang Xiaokun, Li Qingguo
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In graph theory, the Randic index (R) is a topological graph invariant widely used as a physicochemical descriptor in the mathematical modeling of molecular structures. However, traditional molecular graphs fail to capture the heterogeneity of chemical bonds, since they treat all edges as uniform, ignoring variations in bond lengths and strengths.
Ying Wang +5 more
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