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Fuzzy parameterized fuzzy soft topology with applications
Muhammad Riaz,Masooma Raza Hashmi 원광대학교 기초자연과학연구소 2017 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.13 No.5
In this paper, we study the concept of fuzzifying soft set called fuzzy parameterized fuzzy soft sets (FPFS-sets) and some results which holds in crisp set theory but does not hold in FPFS-set theory. We study FPFS-topology on FPFS-sets. We introduce closure, interior, frontier and exterior in the context of FPFS-topological spaces. We also discuss some properties of quasi-coincidence and Q-neighborhood for FPFS-sets. Furthermore, we present an application of FPFS-topology to find the aggregate of every FPFS-open set in FPFS-topology by using some algorithms for decision-making.