Sine trigonometric operational laws and its based Pythagorean fuzzy aggregation operators for group decision-making process

摘要

The paper aims are to impersonate some robust sine-trigonometric operations laws to determine the group decision-making process under the Pythagorean fuzzy set (PFS) situation. The PFS has a notable feature to trade with the dubious information with a broader membership representation space than the intuitionistic fuzzy set. Based on it, the present paper is classified into three phases. The first phase is to introduce new operational laws for PFS. The main idea behind these proposed operations is to incorporate the qualities of the sine function, namely periodicity and symmetric about the origin towards the decisions of the objects. Secondly, based on these laws, numerous operators to aggregate the information are acquired along with their requisite properties and relations. Finally, an algorithm to interpret the multiattribute group decision making problem is outlined based on the stated operators and manifest it with an illustrative example. A detailed comparative interpretation is achieved with some of the existing methods to reveal their influences.