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Certain Types of Covering-Based Multigranulation ( )- Fuzzy Rough Sets with Application to Decision-Making

Jue Ma, Mohammed Atef, Shokry Nada and Ashraf Nawar

Complexity, 2020, vol. 2020, 1-20

Abstract:

As a generalization of Zhan’s method (i.e., to increase the lower approximation and decrease the upper approximation), the present paper aims to define the family of complementary fuzzy - neighborhoods and thus three kinds of covering-based multigranulation ( )- fuzzy rough sets models are established. Their axiomatic properties are investigated. Also, six kinds of covering-based variable precision multigranulation ( )- fuzzy rough sets are defined and some of their properties are studied. Furthermore, the relationships among our given types are discussed. Finally, a decision-making algorithm is presented based on the proposed operations and illustrates with a numerical example to describe its performance.

Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:6661782

DOI: 10.1155/2020/6661782

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