Complex Polytopic Fuzzy Sets and their Geometric Aggregation Operators

Abstract

Jan Muhammad, Khaista Rahman and Ibrar Hussain

This paper is concerned to the study of complex Polytopic fuzzy sets (CPFSs), some of their basic operational laws and their corresponding aggregation operators, which extends the notion of q-Rung orthopair fuzzy sets (q-ROFSs) and Polytopic fuzzy sets (PFSs). We introduce some basic operations, such as union, intersection and complement under complex Polytopic fuzzy numbers (CPFNs). Moreover, we establish some new operators such as, complex Polytopic fuzzy ordered weighted geometric (CPFOWG) operator, complex Polytopic fuzzy weighted geometric (CPFWG) operator, complex Polytopic fuzzy hybrid geometric (CPFHG) operator, induced complex Polytopic fuzzy ordered weighted geometric (I-CPFOWG) operator and induced complex Polytopic fuzzy hybrid geometric (I-CPFHG) operator coupled with the boundedness, idempotency and monotonicity of their structure properties. The efficiency and effectiveness this method is shown with an illustrative example.

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