Generalized Z-fuzzy soft β-covering based rough matrices and its application to MAGDM problem based on AHP method

Pavithra Sivaprakasam; Manimaran Angamuthu

doi:10.31181/dmame04012023p

Pavithra Sivaprakasam Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India
Manimaran Angamuthu Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India https://orcid.org/0000-0001-6717-1152

DOI: https://doi.org/10.31181/dmame04012023p

Keywords: β-level soft set, Fuzzy soft β-adhesion, Generalized Z-fuzzy soft β-covering based rough matrix, AHP

Abstract

Fuzzy, rough, and soft sets are different mathematical tools mainly developed to deal with uncertainty. Combining these theories has a wide range of applications in decision analysis. In this paper, we defined a generalized Z-fuzzy soft -covering-based rough matrices. Some algebraic properties are explored for this newly constructed matrix. The main aim of this paper is to propose a novel MAGDM model using generalized Z-fuzzy soft -covering-based rough matrices. A MAGDM algorithm based on the AHP method is created to recruit the best candidate for an assistant professor job in an institute, and a numerical example is presented to demonstrate the created method.

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