More on Contra Continuous, Irresolute Maps in Pythagorean Fuzzy Nano Topological Spaces and Application in MCDM

Abstract

In our daily life we come across many situation which are non probabilistic and underestimation category. Since they are unpredictable, innumerable real life problems are in abundant condition for decision making from earlier 20th century. Fuzzy sets, intuitionstic fuzzy sets and Pythagorean fuzzy sets emerged one by one and many literature are adding on every day. The concept of Pythagorean fuzzy nano (resp. , , ,    or )-continuity in Pythagorean fuzzy nano topological spaces and specialize some of their basic properties with examples is our main contribution to those literature. Also, we discuss about properties and characterization of Pythagorean fuzzy irresolute maps and application of Multiple Criteria Decision Making (MCDM) techniques to the real-world problem using a proposed similarity measure in Pythagorean fuzzy nano topological spaces.