Results 21 to 30 of about 12,924 (263)
Categorical Dualities for Some Two Categories of Lattices: An Extended Abstract
Bulletin of the Section of Logic, 2022 The categorical dualities presented are: (first) for the category of bi-algebraic lattices that belong to the variety generated by the smallest non-modular lattice with complete (0,1)-lattice homomorphisms as morphisms, and (second) for the category of ...
Wiesław Dziobiak, Marina Schwidefsky
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Kernels of Residuated Maps as Complete Congruences in Lattices
International Journal of Computational Intelligence Systems, 2020 In a context of lattice-valued functions (also called lattice-valued fuzzy sets), where the codomain is a complete lattice L, an equivalence relation defined on L by the equality of related cuts is investigated.
Branimir Šešelja, Andreja Tepavčević
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Spin-induced orbital frustration in a hexagonal optical lattice
Physical Review Research, 2021 Complex lattices provide a versatile ground for fascinating quantum many-body physics. Here, we propose an exotic mechanics for generating orbital frustration in hexagonal lattices. We study two-component (pseudospin-1/2) Bose gases in p-orbital bands of
Yongqiang Li +3 more
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Reflective Full Subcategories of the Category of L-Posets
Abstract and Applied Analysis, 2012 This paper focuses on the relationship between L-posets and complete L-lattices from the categorical view. By considering a special class of fuzzy closure operators, we prove that the category of complete L-lattices is a reflective full subcategory of ...
Hongping Liu, Qingguo Li, Xiangnan Zhou
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Polarity in a Completely Distributive Complete Lattice [PDF]
Proceedings of the American Mathematical Society, 1988 We introduce p p -bases in completely distributive complete polarity lattices and give a procedure for generating these ...
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On Aggregations of Algebraic Objects in Data Modeling
MathematicsAggregation operators are mathematical tools that, under certain constraints in the form of properties imposed on those mathematical functions, provide a representative value for the whole set of input values or structures.
Ivana Štajner-Papuga +1 more
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On Bonds for Generalized One-Sided Concept Lattices
Mathematics, 2021 The generalized one-sided concept lattices represent a generalization of the classical FCA method convenient for a hierarchical analysis of object-attribute models with different types of attributes.
Jozef Pócs, Jana Pócsová
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Semi-Overlap Functions on Complete Lattices, Semi-Θ-Ξ Functions, and Inflationary MTL Algebras
AxiomsAs new kinds of aggregation functions, overlap functions and semi overlap functions are widely applied to information fusion, approximation reasoning, data classification, decision science, etc.
Xingna Zhang +2 more
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The Fixed Point Property for Intuitionistic Fuzzy Lattices
Fuzzy Information and Engineering, 2017 In this paper, based on the concept of intuitionistic fuzzy lattice previously introduced by Tripathy and his colleagues, a class of intuitionistic fuzzy complete lattices is proposed with some interesting characterizations given.
Lemnaouar Zedam, Soheyb Milles, Ewa Rak
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On the positive weak almost limited operators
Arab Journal of Mathematical Sciences, 2015 Using the concept of approximately order bounded sets with respect to a lattice seminorm, we establish some new characterizations of positive weak almost limited operators on Banach lattices.
Nabil Machrafi +3 more
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