Trigonometric Similarity Measures for Neutrosophic Hypersoft Sets With Application to Renewable Energy Source Selection

Cosine and cotangent similarity measurements are critical in applications for determining degrees of difference between objects. In the literature, numerous measures various extensions fuzzy set, soft Intuitionistic Fuzzy Sets (IFSs), Pythagorean (PFSs) HyperSoft (HSSs) have been explored. Neutrosophic (NHSSs), on other hand, has fewer cosine measures. this paper, we propose trigonometric NHSSs. We further investigate basic operators, theorems, propositions proposed know that global warming causes environmental problems. One solving is concept renewable energy. To show effectiveness measures, apply them to energy source selection The study reveals best geographical area install production units, under some technical attributive factors. check validity superiority work, it compared with existing techniques which reveal that, decision-making problems bifurcated attributes, more accurate precise results can only be solved technique. future, applied case studies, attributes than one along decision-maker. Also, work extended several hybrids hypersoft sets, intuitionistic hypersoft, neutrosophic bi-polar m-polar set solve Multi-Criteria Decision Making (MCDM)