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

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  • Jue Ma
  • Mohammed Atef
  • Shokry Nada
  • Ashraf Nawar

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.

Suggested Citation

  • Jue Ma & Mohammed Atef & Shokry Nada & Ashraf Nawar, 2020. "Certain Types of Covering-Based Multigranulation ( )- Fuzzy Rough Sets with Application to Decision-Making," Complexity, Hindawi, vol. 2020, pages 1-20, November.
  • Handle: RePEc:hin:complx:6661782
    DOI: 10.1155/2020/6661782
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    Cited by:

    1. Atef, Mohammed & Nada, Shokry I., 2021. "On three types of soft fuzzy coverings based rough sets," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 452-467.

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