Affiliations: [a] Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
| [b] Department of Mathematics, Abdul Wali Khan University, Mardan, KP, Pakistan
Correspondence:
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Corresponding author. Saleem Abdullah, Department of Mathematics, Abdul Wali Khan University, Mardan, KP, Pakistan. Tel.: +923339430925; E-mail: saleemabdullah81@yahoo.com.
Abstract: The Cubic soft sets are primarily concerned with generalizing the soft sets by using fuzzy sets and interval valued fuzzy sets. We introduce the concept of cubic soft expert sets (CSESs) which can be considered as a generalization of both soft expert and cubic soft expert sets. The notions of internal cubic soft expert sets (ICSESs), external cubic soft expert sets (ECSESs), P-order, P-union, P-intersection, P-AND, P-OR and R-order, R-union, R-intersection, R-AND, R-OR have been defined for cubic soft expert sets (CSESs). We also investigate structural properties of these operations on cubic soft expert sets (CSESs). It has also been proved that cubic soft expert sets (CSESs) satisfy commutative, associative, De Morgan’s, distributive, idempotent and absorption laws. In last section, we provide the application of a cubic soft expert sets (CSESs) in multi-criteria decision making problem. We present the algorithm of a cubic soft expert decision making and give the numerical application.
