Abstract
Our main aim is to define the concept of semi open sets in Pythagorean topological spaces which is one of the weakest forms of open sets. Along with their introduction their characterizations and properties have been investigated with examples. In addition to that the continuous functions have also been defined.
Highlights
The consequent advancement of fuzzy subsets was the intuitionistic fuzzy set published by Atanassov [2] which has elements having membership and non-membership degree
Example 2.9 Any FTS (W, τ0) obviously a Pythagorean fuzzy topological space (PFTS) in the form τ = {A : ηA ∈ τ0} whenever we identify a fuzzy set in W whose membership function in ηA with its counter part A = w, ηA, (1 − ηA)
F is said to be Pythagorean fuzzy semi continuous (PFSCn) iff the pre image of each Pythagorean fuzzy open (PFO) set in φ is a Pythagorean fuzzy semi open (PFSO) in τ
Summary
The consequent advancement of fuzzy subsets was the intuitionistic fuzzy set published by Atanassov [2] which has elements having membership and non-membership degree. Chang [3] defined fuzzy topological space and fundamental results such as continuity, open and closed sets. Lowen [4] defined fuzzy topological space in another form. Coker [5] developed the concept of an intuitionistic fuzzy topological spaces with some properties. Pythagorean fuzzy topological spaces was introduced by Olgun [8] by taking the lead from Chang.
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