Bipolar Spherical Fuzzy Soft Topology with Applications to Multi-Criteria Group Decision-Making in Buildings Risk Assessment

A generalized soft set model that is more accurate, useful, and realistic the bipolar spherical fuzzy (BSFSs). It a developed variant of current models may be applied to characterize erroneous data in practical applications. Bipolar sets topology are novel ideas intended introduced this work. intersection, null set, absolute other operations on some fundamental defined The open close closure, interior also defined. Additionally, characteristics specified covered described using pertinent instances. innovative notion BSFSs makes it easier describe symmetry two or objects. Moreover, group decision-making algorithm based TOPSIS (Technique Order Preference by Similarity an Ideal Solution) approach problem-solving described. We analyze optimal decision ranking feasible alternatives. numerical example used show how suggested used. extensive benefits proposed work over existing techniques have been listed.