Results 11 to 20 of about 7,317 (264)
Dual Three-way Concept Lattice Based on Composition of Concepts and Its Concept Reduction [PDF]
Jisuanji kexue, 2023 Three-way concept lattice not only represents the information jointly owned,but also represents the information that is not owned by each other by combining positive operators and negative operators.It is an extension of the classical concept lattice ...
LIU Jin, MI Jusheng, LI Zhongling, LI Meizheng
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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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On α-Multiplier on Almost Distributive Lattices
Journal of Mathematics, 2021 In this paper, we initiate the concept of α-multiplier on almost distributive lattices. We prove some useful results by using the notion of α-multiplier and generalize the idea of multiplier on almost distributive lattices.
Ying Wang +5 more
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Abstract Concept Lattices [PDF]
, 2011 We present a view of abstraction based on a structure preserving reduction of the Galois connection between a language L of terms and the powerset of a set of instances O. Such a relation is materialized as an extension-intension lattice, namely a concept lattice when L is the powerset of a set P of attributes. We define and characterize an abstraction
Henry Soldano, Véronique Ventos
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Horn representation of a concept lattice [PDF]
International Journal of General Systems, 2009 Concept lattices are the central notion of formal concept analysis. They are applied in many different areas such as data mining, knowledge representation or ontology engineering and are subject to ongoing research. In order to better understand the nature of concept lattices, it is useful to consider their links to other mathematical notions.
Kamel Ben-Khalifa, Susanne Motameny
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Gradation of Fuzzy Preconcept Lattices
Axioms, 2021 Noticing certain limitations of concept lattices in the fuzzy context, especially in view of their practical applications, in this paper, we propose a more general approach based on what we call graded fuzzy preconcept lattices.
Alexander Šostak +2 more
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International Journal of Approximate Reasoning, 2013 This paper is concerned with the relationship between contexts, closure spaces, and complete lattices. It is shown that, for a unital quantale L, both formal concept lattices and property oriented concept lattices are functorial from the category L-Ctx of L-contexts and infomorphisms to the category L-Sup of complete L-lattices and suprema-preserving ...
Lili Shen, Dexue Zhang
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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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Electronic Notes in Theoretical Computer Science, 2009 AbstractFormal concept analysis and rough set theory provide two different methods for data analysis and knowledge processing. Given a context K, one can get the concept lattice L(K) in Wille's sense and the object-oriented rough concept lattice RO-L(K) (resp., attribute-oriented RA-L(K)).
Lingyun Yang, Luoshan Xu
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Some characterizations of surjective operators on banach lattices [PDF]
Journal of Hyperstructures, 2018 The concepts of compact and weakly compact operators on Banach spaces are considered and investigated in several papers. In this paper, taking idea from this notations, we consider the concept surjective compact and weakly compact operators on Banach ...
Akbar Bahramnezhad, Kazem Haghnejad Azar
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