Affiliations: [a] Department of Mathematics, Hazara University Mansehra, KPK, Pakistan
| [b] Department of Mathematics, Abdul Wali Khan University Mardan, KPK, Pakistan
| [c] Department of Electronics Engineering, University of Engineering and Technology Taxila Sub Campus, Chakwal | [d] Department of Information Technology, Hazara University, Mansehra, KP, Pakistan
Correspondence:
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Corresponding author. Saleem Abdullah, Department of Mathematics, Abdul Wali Khan University Mardan, KPK, Pakistan. E-mail: saleemabdullah@awkum.edu.pk.
Abstract: Pythagorean cubic fuzzy set, is an extension of the interval valued Pythagorean fuzzy set which relax the condition of the square sum of its membership and non-membership degree is less than or equal to one to supremum square sum of its membership and non-membership functions is less than one. Based on this information and by combining the idea of the confidence levels of each Pythagorean cubic fuzzy number, the proposed study investigated a new averaging and geometric operators, namely confidence Pythagorean cubic fuzzy weighted and geometric operators along with their order are presented. Some of their desired properties related to the new defined operators have been investigated. Under the given information, a multi criteria decision making process has been proposed with a numerical example for showing the effectiveness and validity of it.
