Fuzzy extensions of the dominance-based rough set approach

Marko Palangetić; Chris Cornelis; Salvatore Greco; Roman Słowiński

doi:10.1016/j.ijar.2020.10.004

Fuzzy extensions of the dominance-based rough set approach

Marko Palangetić, Chris Cornelis, Salvatore Greco, Roman Słowiński

Centre for Operational Research & Logistics

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Abstract

In this paper, we first review existing fuzzy extensions of the dominance-based rough set approach (DRSA), and advance the theory considering additional properties. Moreover, we examine the application of Ordered Weighted Average (OWA) operators to fuzzy DRSA. OWA operators have shown a lot of potential in handling outliers and noisy data in decision tables, when they are combined with the indiscernibility-based rough set approach (IRSA). We examine theoretical properties of the proposed hybridisation of OWA operators with fuzzy DRSA. At the end, we experimentally compare the robustness of the standard fuzzy DRSA approach with the OWA one.

Original language	English
Pages (from-to)	1-19
Journal	International Journal of Approximate Reasoning
Volume	129
Early online date	12 Nov 2020
DOIs	https://doi.org/10.1016/j.ijar.2020.10.004
Publication status	Published - 1 Feb 2021

Keywords

Dominance-based rough set approach
Fuzzy set theory
Ordered weighted average

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10.1016/j.ijar.2020.10.004

Fuzzy ExtensionsAccepted author manuscript (Post-print), 577 KBLicence: CC BY-NC-ND

https://linkinghub.elsevier.com/retrieve/pii/S0888613X20302383

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abstract = "In this paper, we first review existing fuzzy extensions of the dominance-based rough set approach (DRSA), and advance the theory considering additional properties. Moreover, we examine the application of Ordered Weighted Average (OWA) operators to fuzzy DRSA. OWA operators have shown a lot of potential in handling outliers and noisy data in decision tables, when they are combined with the indiscernibility-based rough set approach (IRSA). We examine theoretical properties of the proposed hybridisation of OWA operators with fuzzy DRSA. At the end, we experimentally compare the robustness of the standard fuzzy DRSA approach with the OWA one.",

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AU - Greco, Salvatore

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KW - Dominance-based rough set approach

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KW - Ordered weighted average

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JO - International Journal of Approximate Reasoning

JF - International Journal of Approximate Reasoning

ER -

Fuzzy extensions of the dominance-based rough set approach

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Keywords

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