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https://doi.org/10.17535/crorr.2020.0006

Fuzzy-rough set models and fuzzy-rough data reduction

Alireza Mansouri Ghroutkhar ; Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Hassan Mishmast Nehi ; Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran


Puni tekst: engleski pdf 391 Kb

str. 67-80

preuzimanja: 295

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Sažetak

Rough set theory is a powerful tool to analysis the information systems. Fuzzy rough set is introduced as a fuzzy generalization of rough sets. This paper reviewed the most important contributions to the rough set theory, fuzzy rough set theory and their applications. In many real world situations, some of the attribute values for an object may be in the set-valued form. In this paper, to handle this problem, we present a more general approach to the fuzzification of rough sets. Specially, we define a broad family of fuzzy rough sets. This paper presents a new development for the rough set theory by incorporating the classical rough set theory and the interval-valued fuzzy sets. The proposed methods are illustrated by an numerical example on the real case.

Ključne riječi

fuzzy rough set, lower approximation, upper approximation discernibility matrix

Hrčak ID:

240684

URI

https://hrcak.srce.hr/240684

Posjeta: 581 *