Results 1 to 10 of about 373 (231)
Countably QC-Approximating Posets [PDF]
The Scientific World Journal, 2014 As a generalization of countably C-approximating posets, the concept of countably QC-approximating posets is introduced. With the countably QC-approximating property, some characterizations of generalized completely distributive lattices and generalized ...
Xuxin Mao, Luoshan Xu
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Invariant functionals on completely distributive lattices [PDF]
Fuzzy Sets and Systems, 2011 In this paper we are interested in functionals defined on completely distributive lattices and which are invariant under mappings preserving {arbitrary} joins and meets. We prove that the class of nondecreasing invariant functionals coincides with the class of Sugeno integrals associated with $\{0,1\}$-valued capacities, the so-called term functionals,
Marta Cardin, MIGUEL Couceiro
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Equalizers and Coequalizers in the Category of Topological Molecular Lattices [PDF]
Journal of Mahani Mathematical Research, 2023 A completely distributive complete lattice is called a molecular lattice. It is well known that the category TML of all topological molecular lattices with generalized order homomorphisms in the sense of Wang, is both complete and cocomplete.
Ghasem Mirhosseinkhani, Narges Nazari
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Serial relation and textural rough set [PDF]
Mathematica Moravica, 2021 The generalized rough set theory is based on the lower and upper approximation operators defined on the binary relation. The rough sets obtained from serial relations take an important place in topological applications.
Dost Şenol
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Compatibilities between continuous semilattices
Karpatsʹkì Matematičnì Publìkacìï, 2021 We define compatibilities between continuous semilattices as Scott continuous functions from their pairwise cartesian products to $\{0,1\}$ that are zero preserving in each variable.
O.Ya. Mykytsey, K.M. Koporkh
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“Complete-simple” distributive lattices [PDF]
Proceedings of the American Mathematical Society, 1993 It is well known that the only simple distributive lattice is the two-element chain. We can generalize the concept of a simple lattice to complete lattices as follows: a complete lattice is complete-simple if it has only the two trivial complete congruences.
Grätzer, G., Schmidt, E. T.
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A Note on the Topologicity of Quantale-Valued Topological Spaces [PDF]
Logical Methods in Computer Science, 2017 For a quantale ${\sf{V}}$, the category $\sf V$-${\bf Top}$ of ${\sf{V}}$-valued topological spaces may be introduced as a full subcategory of those ${\sf{V}}$-valued closure spaces whose closure operation preserves finite joins.
Hongliang Lai, Walter Tholen
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M-Hazy Module and Its Homomorphism Theorem
Journal of Mathematics, 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 ...
Donghua Huo, Hongyu Liu
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Measurement of Countable Compactness and Lindelöf Property in RL-Fuzzy Topological Spaces
Complexity, 2021 Based on the concepts of pseudocomplement of L-subsets and the implication operator where L is a completely distributive lattice with order-reversing involution, the definition of countable RL-fuzzy compactness degree and the Lindelöf property degree of ...
Xiongwei Zhang +2 more
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On generalized topological molecular lattices [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices, topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces.
Narges Nazari, Ghasem Mirhosseinkhani
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