Interdependency of Complex Fuzzy Neighborhood Operators and Derived Complex Fuzzy Coverings

Tahir Mahmood; Zeeshan Ali; Abdu Gumaei

doi:10.1109/ACCESS.2021.3074590

Interdependency of Complex Fuzzy Neighborhood Operators and Derived Complex Fuzzy Coverings

Tahir Mahmood, Zeeshan Ali, Abdu Gumaei

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

Complex fuzzy coverings (CFCs) are the natural mixture of the complex fuzzy sets (CFSs) and coverings, which are the modified versions of the coverings by replacing crisp sets with CFSs. This manuscript aims to explore the complex fuzzy neighborhood operators (CFNOs) by introducing the notions such as -neighborhood system ( -NO), complex fuzzy -minimal description (CF -MND), and complex fuzzy -maximal description (CF -MXD). First, we explore the complex fuzzy -covering approximation space (CF -CAS) and then we propose the above notions and investigate their properties. Additionally, we construct the CFNOs based on the complex fuzzy -coverings (CF -Cs). Finally, the CF -Cs were derived by using CFNOs, and their properties are considered. These all notions are also verified with the help of suitable examples to show that the presented approaches are extensive, reliable, and proficient techniques.

Original language	English
Article number	9410255
Pages (from-to)	73506-73521
Number of pages	16
Journal	IEEE Access
Volume	9
DOIs	https://doi.org/10.1109/ACCESS.2021.3074590
State	Published - 2021
Externally published	Yes

Keywords

complex fuzzy neighborhood operators
complex fuzzy sets
Complex fuzzy β-coverings
rough sets

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10.1109/ACCESS.2021.3074590

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title = "Interdependency of Complex Fuzzy Neighborhood Operators and Derived Complex Fuzzy Coverings",

abstract = "Complex fuzzy coverings (CFCs) are the natural mixture of the complex fuzzy sets (CFSs) and coverings, which are the modified versions of the coverings by replacing crisp sets with CFSs. This manuscript aims to explore the complex fuzzy neighborhood operators (CFNOs) by introducing the notions such as -neighborhood system ( -NO), complex fuzzy -minimal description (CF -MND), and complex fuzzy -maximal description (CF -MXD). First, we explore the complex fuzzy -covering approximation space (CF -CAS) and then we propose the above notions and investigate their properties. Additionally, we construct the CFNOs based on the complex fuzzy -coverings (CF -Cs). Finally, the CF -Cs were derived by using CFNOs, and their properties are considered. These all notions are also verified with the help of suitable examples to show that the presented approaches are extensive, reliable, and proficient techniques.",

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T1 - Interdependency of Complex Fuzzy Neighborhood Operators and Derived Complex Fuzzy Coverings

AU - Mahmood, Tahir

AU - Ali, Zeeshan

AU - Gumaei, Abdu

PY - 2021

Y1 - 2021

N2 - Complex fuzzy coverings (CFCs) are the natural mixture of the complex fuzzy sets (CFSs) and coverings, which are the modified versions of the coverings by replacing crisp sets with CFSs. This manuscript aims to explore the complex fuzzy neighborhood operators (CFNOs) by introducing the notions such as -neighborhood system ( -NO), complex fuzzy -minimal description (CF -MND), and complex fuzzy -maximal description (CF -MXD). First, we explore the complex fuzzy -covering approximation space (CF -CAS) and then we propose the above notions and investigate their properties. Additionally, we construct the CFNOs based on the complex fuzzy -coverings (CF -Cs). Finally, the CF -Cs were derived by using CFNOs, and their properties are considered. These all notions are also verified with the help of suitable examples to show that the presented approaches are extensive, reliable, and proficient techniques.

AB - Complex fuzzy coverings (CFCs) are the natural mixture of the complex fuzzy sets (CFSs) and coverings, which are the modified versions of the coverings by replacing crisp sets with CFSs. This manuscript aims to explore the complex fuzzy neighborhood operators (CFNOs) by introducing the notions such as -neighborhood system ( -NO), complex fuzzy -minimal description (CF -MND), and complex fuzzy -maximal description (CF -MXD). First, we explore the complex fuzzy -covering approximation space (CF -CAS) and then we propose the above notions and investigate their properties. Additionally, we construct the CFNOs based on the complex fuzzy -coverings (CF -Cs). Finally, the CF -Cs were derived by using CFNOs, and their properties are considered. These all notions are also verified with the help of suitable examples to show that the presented approaches are extensive, reliable, and proficient techniques.

KW - complex fuzzy neighborhood operators

KW - complex fuzzy sets

KW - Complex fuzzy β-coverings

KW - rough sets

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Interdependency of Complex Fuzzy Neighborhood Operators and Derived Complex Fuzzy Coverings

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Keywords

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