On Fermatean Fuzzy Bipolar Soft Topological Space

Abstract

In the current thesis, on fermatean fuzzy bipolar soft topological space is investigated. A fermatean fuzzy set is converted by using bipolar soft set in topological space. The soft sets are a family of parameterized sets. The concepts of a soft neighborhood of a point, a soft open set, and a soft closed set are introduced. Soft topological space offers variety of topological spaces that are parameterized. The BSS is made with the two SS. One gives negative information while the other one gives us positive information. Two mappings are used to explain the FBSS. In FBS, one mapping is used to approximate fuzziness relative to the degree of positivity while another mapping is used to approximate fuzziness relative to the degree of negativity in the initial universal set objects. To cope with uncertainty in various real-world condition, a reducing mathematical technique called fermatean fuzzy set is being developed. FFS is more flexible than intuitionistic and PFS. The result are evaluated in on FFBSTS and FFBS. We work on some features such as neighborhood, continuity, and others.