Open AccessJournal Article
On a generalization of approximation space
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This article is published in Bulletin of The Polish Academy of Sciences Mathematics.The article was published on 1989-01-01 and is currently open access. It has received 127 citations till now. The article focuses on the topics: Spouge's approximation & Generalization.read more
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Relational interpretations of neighborhood operators and rough set approximation operators
TL;DR: This paper presents a framework for the formulation, interpretation, and comparison of neighborhood systems and rough set approximations using the more familiar notion of binary relations, and introduces a special class of neighborhood system, called 1-neighborhood systems.
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Constructive and algebraic methods of the theory of rough sets
TL;DR: This paper reviews and compares constructive and algebraic approaches in the study of rough set algebras and states axioms that must be satisfied by the operators.
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Generalized fuzzy rough sets
TL;DR: This paper presents a general framework for the study of fuzzy rough sets in which both constructive and axiomatic approaches are used and the connections between fuzzy relations and fuzzy rough approximation operators are examined.
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Two views of the theory of rough sets in finite universes
TL;DR: This paper presents and compares two views of the theory of rough sets: the operator-oriented and set-oriented views, which interprets rough set theory as an extension of set theory with two additional unary operators.
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Generalization of Rough Sets using Modal Logics
Yiyu Yao,Tsau Young Lin +1 more
TL;DR: A number of extended rough set models are proposed and examined based on the properties satisfied by a binary relation, such as serial, reflexive, symmetric, transitive, and Euclidean, which correspond to different modal logic systems.