Some applications in decision-making using cosine maps and the relevance of the Pythagorean fuzzy

Abstract

The non-classical set, generally known as Pythagorean fuzzy (PF), is one of mathematics’ most essential and it is used in our approach, which is crucial and useful, because it can handle more uncertainty than intuitionistic fuzzy sets and others non-classical sets, so has a wider range of applications. In nature, the periodicity and symmetry are provided by the well-known cosine trigonometric function, meeting decision-makers’ expectations for multi-time process parameters. Introduce the new cosine trigonometric operational laws (CTOLs) with (PF) structure, keeping the peculiarities of the cosine function and the relevance of the Pythagorean fuzzy set (PFS) in mind. New cosine trigonometric Pythagorean fuzzy (CTPF) aggregation operators are created on the basis of these (CTOLs). The main focus of the research is on a decision-making algorithm for multi-attribute decision-making situations. It is based on a planned aggregating operation employing unknown weight information for the specified standards. In the end, to demonstrate the effectiveness, an example of internet finance soft power evaluation (IFSPE) is offered. Sensibility and comparison analyses are also used to evaluate the method’s stability and validity.