Decision Making in Fuzzy Rough Set Theory

Fernando Chacón-Gómez, M. Eugenia Cornejo and Jesús Medina ()
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Fernando Chacón-Gómez: Department of Mathematics, University of Cádiz, 11510 Puerto Real, Cádiz, Spain
M. Eugenia Cornejo: Department of Mathematics, University of Cádiz, 11510 Puerto Real, Cádiz, Spain
Jesús Medina: Department of Mathematics, University of Cádiz, 11510 Puerto Real, Cádiz, Spain

Mathematics, 2023, vol. 11, issue 19, 1-29

Abstract: Decision rules are powerful tools to manage information and to provide descriptions of data sets; as a consequence, they can acquire a useful role in decision-making processes where fuzzy rough set theory is applied. This paper focuses on the study of different methods to classify new objects, which are not considered in the starting data set, in order to determine the best possible decision for them. The classification methods are supported by the relevance indicators associated with decision rules, such as support, certainty, and credibility. Specifically, the first one is based on how the new object matches decision rules that describe the data set, while the second one also takes into account the representativeness of these rules. Finally, the third and fourth methods take into account the credibility of the rules compared with the new object. Moreover, we have shown that these methods are richer alternatives or generalize other approaches given in the literature.

Keywords: fuzzy rough set theory; decision rules; classification methods (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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