A NEW INTELLIGENT DECISION-MAKING FRAMEWORK FOR THE DIAGNOSIS OF CHRONIC CANCER USING CUBIC BIPOLAR PYTHAGOREAN FUZZY TOPOLOGY AND MULTI-CRITERIA DECISION – MAKING

Abstract

Abstract: This paper introduces the Cubic Bipolar Pythagorean Fuzzy Set (CBPFS), a novel framework for modelling uncertainty using fuzzy intervals and fuzzy numbers. The fundamental properties and operations of CBPFSs are presented, followed by the development of Cubic Bipolar Pythagorean Fuzzy Topology (CBPF Topology) based on P-order. Classical topological concepts, including open sets, closed sets, interior, exterior, frontier, neighborhoods, bases, and subspaces, are extended to the CBPF setting. The proposed topology provides an effective framework for handling uncertainty in complex decision-making problems. Furthermore, a CRITIC–MAIRCA multi-criteria group decision-making method is developed within the CBPF topological framework and applied to chronic cancer disease diagnosis. Comparative analysis demonstrates the effectiveness and reliability of the proposed approach over existing methods.