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The rough set theory and applications
Engineering Computations, 2004This paper presents a comprehensive review of the available literature on applications of the rough set theory. Concepts of the rough set theory are discussed for approximation, dependence and reduction of attributes, decision tables and decision rules.
Wu, Chengdong +3 more
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2019
This chapter overviews rough set theory. First, we give preliminaries of rough set theory. Second, we give an exposition of algebras for rough set theory. Third, connections of modal logic and rough sets are described. Fourth, rough set logics are introduced. We also consider logics for reasoning about knowledge and logics for knowledge representation.
Seiki Akama, Yasuo Kudo, Tetsuya Murai
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This chapter overviews rough set theory. First, we give preliminaries of rough set theory. Second, we give an exposition of algebras for rough set theory. Third, connections of modal logic and rough sets are described. Fourth, rough set logics are introduced. We also consider logics for reasoning about knowledge and logics for knowledge representation.
Seiki Akama, Yasuo Kudo, Tetsuya Murai
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Supervaluationism and rough set theory
2012 IEEE International Conference on Granular Computing, 2012In this paper, I want to propose a revised version to supervaluationists' strategy on vagueness by rough set theory. The main reason to my work is due to the very intuition about all the boundaries of vague terms must be obviously vague, i.e. not only the boundary of positive and negative extension but also the boundaries of positive or negative ...
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2018
The rough set theory was proposed by Polish scientist Zdzislaw Pawlak. The first paper containing an outline of the theory was published in 1982 in the International Journal of Computer and Information Sciences Pawlak (Int J Comput Inf Sci 11:341–356, 1982 [14]).
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The rough set theory was proposed by Polish scientist Zdzislaw Pawlak. The first paper containing an outline of the theory was published in 1982 in the International Journal of Computer and Information Sciences Pawlak (Int J Comput Inf Sci 11:341–356, 1982 [14]).
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Two operators in rough set theory
2007 46th IEEE Conference on Decision and Control, 2007In order to understand the essence of certain increment operator and the uncertain decrement operator, we redefine these two operators. Furthermore, the certain increment operator and the uncertain decrement operator are developed by introducing multiple sets, and some properties based on the two multiple sets operators are analyzed.
null Zhi Kong +3 more
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Appraising property with rough set theory
Journal of Property Investment & Finance, 2002This research is focused on a methodology created to analyse imprecise information, that is full of attributes defined as “rough set”. The methodology will be then applied to the real estate appraisal question, representing a further possible method of evaluation.
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Rough Set Theory: An Introduction
2002In rough set theory, knowledge is interpreted as an ability to classify some objects (cf. [Pawlak82a, 81b]). These objects form a set called often a universe of discourse and their nature may vary from case to case: they may be e.g. medical patients, processes, participants in a conflict etc., etc.
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Concept lattices in rough set theory
IEEE Annual Meeting of the Fuzzy Information, 2004. Processing NAFIPS '04., 2004An alternative formulation of rough set theory can be developed based on a binary relation between two universes, one is a finite set of objects and the other is a finite set of properties. Rough set approximation operators are defined with respect to the binary relation. Three concept lattices are constructed based on approximation operators. They are
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On Generalizing Rough Set Theory
2007This paper summarizes various formulations of the standard rough set theory. It demonstrates how those formulations can be adopted to develop different generalized rough set theories. The relationships between rough set theory and other theories are discussed.
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Object Reduction in Rough Set Theory
2019This chapter deals with object reduction in rough set theory. We introduce a concept of object reduction that reduces the number of objects as long as possible with keeping the results of attribute reduction in the original decision table.
Seiki Akama, Yasuo Kudo, Tetsuya Murai
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