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Relating generalized concept lattices and concept lattices for non-commutative conjunctors
Applied Mathematics Letters, 2008 The authors prove that any concept lattice for non-commutative fuzzy logic is isomorphic to a sublattice of the Cartesian product of two generalized concept lattices. Related theory can be found in the papers of \textit{G. Georgescu} and \textit{A. Popescu} [Fundam. Inform. 53, No.~1, 23--54 (2002; Zbl 1023.03016)] and of \textit{R.
Jesus Medina, Manuel Ojeda-Aciego
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The Feature Description of Formal Context Based on the Relationships among Concept Lattices [PDF]
Entropy, 2021 Three-way concept analysis (3WCA) is extended research of formal concept analysis (FCA) by combining three-way decision. The three-way object oriented concept lattice (OEOL) is one of the important data structures which integrates rough set, concept ...
Ting Qian, Yongwei Yang, Xiaoli He
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Characterizing One-Sided Formal Concept Analysis by Multi-Adjoint Concept Lattices [PDF]
Mathematics, 2022 Managing and extracting information from databases is one of the main goals in several fields, as in Formal Concept Analysis (FCA). One-sided concept lattices and multi-adjoint concept lattices are two frameworks in FCA that have been developed in ...
María José Benítez-Caballero +2 more
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Mathematics, 2023 In this paper, firstly, we studied the relationship between negative concept lattices with increasing the granularity sizes of the attributes. Aiming to do this, negative concepts and covering relations were both classified into three types, and the ...
Junping Xie, Liuhai Zhang, Jing Yang
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Rule acquisition of three‐way semi‐concept lattices in formal decision context
CAAI Transactions on Intelligence TechnologyThree‐way concept analysis is an important tool for information processing, and rule acquisition is one of the research hotspots of three‐way concept analysis.
Jie Zhao +3 more
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Using Covering Reduction to Identify Reducts for Object-Oriented Concept Lattices
Axioms, 2022 An object-oriented concept lattice, as an important generalization of classic concept lattices, is a bridge between formal concept analysis and rough set theory. This paper presents an application of covering reduction in formal concept analysis.
Guilong Liu
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Regular Partial Residuated Lattices and Their Filters
Mathematics, 2022 To express wider uncertainty, Běhounek and Daňková studied fuzzy partial logic and partial function. At the same time, Borzooei generalized t-norms and put forward the concept of partial t-norms when studying lattice valued quantum effect algebras. Based
Nan Sheng, Xiaohong Zhang
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On Goldie absolute direct summands in modular lattices [PDF]
Mathematica Bohemica, 2023 Absolute direct summand in lattices is defined and some of its properties in modular lattices are studied. It is shown that in a certain class of modular lattices, the direct sum of two elements has absolute direct summand if and only if the elements are
Rupal Shroff
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Attribute reduction based on maximal rules in decision formal context [PDF]
International Journal of Computational Intelligence Systems, 2014 One of the key issues in the theory of concept lattices is to extract the useful rules from the decision formal context. The maximal rules implicate the others, thus people are interested in them.
Leijun Li, Jusheng Mi, Bin Xie
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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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