Multiple Attribute Trigonometric Decision-making and its Application to the Selection of Engineers

Abstract It is concerned with a new method for solving multiple attribute decision-making (MADM) problems under sine trigonometric Pythagorean neutrosophic normal interval-valued set (shortly, ST-PyNSNIVS). The ST-PyNSNIVS is a generalization of the Pythagorean neutrosophic interval-valued set (shortly, PyNSIVS), the Pythagorean neutrosophic set (shortly, PyNSS), and the interval-valued neutrosophic set (shortly, IVNSS). In this paper, a new concept of sine trigonometric Pythagorean neutrosophic normal interval-valued weighted averaging (shortly, ST-PyNSNIVWA), sine trigonometric Pythagorean neutrosophic normal interval-valued weighted geometric (shortly, ST-PyNSNIVWG), sine trigonometric generalised Pythagorean neutrosophic normal interval-valued weighted averaging (shortly, ST-GPyNSNIVWA) and sine trigonometric generalized Pythagorean neutrosophic normal interval-valued weighted geometric (shortly, ST-GPyNSNIVWG). Under the operators ST-PyNSNIVWA, ST-PyNSNIVWG, ST-GPyNSNIVWA, and ST-GPyNSNIVWG, we also acquired an algorithm and a owchart that interact with the MADM technique. For the suggested models, which are future expansions of real-life instances, we addressed new sorts of two distances, such as euclidean and hamming distances. The PyNSNIV set technique was used to examine the sine trigonometric aggregation operations. They are more practical and straightforward, and the finest option may be reached in a short period of time. As a result, the defined models conclusions are more exact and closely dependent on Σ. We also compare some of the current models to the suggested models, demonstrating the validity and usefulness of the investigated models. Finally, some enthralling and intriguing findings from the study.