Incomplete decision contexts: Approximate concept construction, rule acquisition and knowledge reduction
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TLDR
A novel method for building the approximate concept lattice of an incomplete context, the notion of an approximate decision rule and an approach for extracting non-redundant approximate decision rules from an incomplete decision context are presented.About:
This article is published in International Journal of Approximate Reasoning.The article was published on 2013-01-01 and is currently open access. It has received 239 citations till now. The article focuses on the topics: Decision rule & Optimal decision.read more
Citations
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Journal ArticleDOI
Three-way cognitive concept learning via multi-granularity
TL;DR: An axiomatic approach to describe three-way concepts by means of multi-granularity is put forward and a three- way cognitive computing system is designed to find composite three-Way cognitive concepts.
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Concept learning via granular computing
TL;DR: Cognitive mechanism of forming concepts is analyzed based on the principles from philosophy and cognitive psychology, including how to model concept-forming cognitive operators, define cognitive concepts and establish cognitive concept structure to improve efficiency of concept learning.
Journal ArticleDOI
Multigranulation rough sets: From partition to covering
TL;DR: Three types of covering based multigranulation rough sets are presented, in which set approximations are defined by different covering approximation operators, which will enrich the MGRS theory and enlarge its application scope.
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The connections between three-way and classical concept lattices
Jianjun Qi,Ting Qian,Ling Wei +2 more
TL;DR: The necessary and sufficient conditions used to construct three-way concepts on the basis of classical concepts are proved, and the algorithms building three- way concept lattices on the based of classical concept lattice are presented.
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A comparative study of multigranulation rough sets and concept lattices via rule acquisition
TL;DR: This study investigates the relationship between multigranulation rough sets and concept lattices via rule acquisition and algorithm complexity analysis is made for the acquisition of "AND" decision rules, "OR" decisionrules, granular rules and disjunctive rules.
References
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Book
Formal Concept Analysis: Mathematical Foundations
TL;DR: This is the first textbook on formal concept analysis that gives a systematic presentation of the mathematical foundations and their relation to applications in computer science, especially in data analysis and knowledge processing.
Book ChapterDOI
Restructuring lattice theory: an approach based on hierarchies of concepts
TL;DR: Restructuring lattice theory is an attempt to reinvigorate connections with the authors' general culture by interpreting the theory as concretely as possible, and in this way to promote better communication between lattice theorists and potential users of lattices theory.
Book
General Lattice Theory
TL;DR: In this paper, the authors define two definitions of Lattices and describe how to describe them, and how to use them to describe lattice geometry, including polynomials, identities, and infinities.
Journal ArticleDOI
Rudiments of rough sets
Zdziasław Pawlak,Andrzej Skowron +1 more
TL;DR: The basic concepts of rough set theory are presented and some rough set-based research directions and applications are pointed out, indicating that the rough set approach is fundamentally important in artificial intelligence and cognitive sciences.