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.
