Journal
SOFT COMPUTING
Volume 25, Issue 8, Pages 6633-6651Publisher
SPRINGER
DOI: 10.1007/s00500-021-05659-8
Keywords
Multigranulation fuzzy rough sets; Covering-based multigranulation fuzzy rough sets; Fuzzy complementary beta-Neighborhood; Optimistic multigranulation fuzzy rough set; Pessimistic multigranulation fuzzy rough set
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This article introduces covering-based multigranulation fuzzy rough sets models and four different types of variants, discussing the characteristics of these models and comparing them with previous models. Finally, the proposed models are applied with an algorithm on certain drug forms to assist experts in medical decision making.
Covering-based multigranulation fuzzy rough sets are a natural extension of the multigranulation rough sets by replacing crisp sets with fuzzy sets. Recently, the covering-based multigranulation fuzzy rough sets in terms of the family of a fuzzy beta-neighborhoods is due to Zhan et al. (Artif Intell Rev 53(2):1093-1126). As a generalization to Zhan's method which pointed to increase the lower approximation and decrease the upper approximation, the proposed article aims to introduce the notion of a family of fuzzy complementary beta-neighborhood and thus four types of covering-based optimistic (pessimistic) multigranulation fuzzy rough sets models are presented. Also, four new kinds of covering-based M-optimistic (pessimistic) multigranulation fuzzy rough sets models are constructed. Some characterizations of these models and its related with Zhan's model are studied. A comparison between these new types of multigranulation fuzzy rough sets will be discussed. Finally, we apply our proposed models with an algorithm on certain forms of drugs which may help the expert in decision making, especially, in medicine.
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