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Rough Set Theory Fundamentals

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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Two operators in rough set theory

2007 46th IEEE Conference on Decision and Control, 2007
In 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, 2002
This 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

2002
In 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., 2004
An 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

2007
This 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

2019
This 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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Myths about rough set theory

Communications of the ACM, 1998
Waldemar W. Koczkodaj   +2 more
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Rough Set Theory of Shape Perception

2007
Humans can easily recognize complex objects even if values of their attributes are imprecise and often inconsistent. It is not clear how the brain processes uncertain visual information. We have tested electrophysiological activity of the visual cortex (area V4), which is responsible for shape classifications.
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Topics in Rough Set Theory

2020
Seiki Akama, Yasuo Kudo, Tetsuya Murai
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