A new knowledge Measure on q-rung ortho pair fuzzy set and its application

While dealing with the ambiguity of human judgments, q-rung ortho pair fuzzy (q-ROPF) provide more freedom to the decision makers than fuzzy, intuitionistic fuzzy, and Pythagorean fuzzy. However, it is necessary to measure the degree of closeness between q-ROPF sets and crisp sets and also the difference between a crisp set and q-ROPF sets. In Literature, knowledge measure and entropy measures are used for this. In this paper, we introduce a new robust knowledge and entropy measures for q-ROPF sets and show that the proposed measures please the axiomatic properties of a knowledge and entropy measure. A Multi - Attribute Group Decision Making (MAGDM) framework based on COmplex Proportional Assessment (COPRAS) method is presented, by calculating the weights of the Decision Makers using knowledge measure under q-ROPF environment. The working and feasibility of the proposed MAGDM method are demonstrated, by applying it for the purchasing of the most preferred medical equipment for a hospital.