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Fuzzy parameterized fuzzy soft topology with applications

Muhammad Riaz|Masooma Raza Hashmi
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2017.05|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제13권 제5호|pp. 593-613|DOI 10.30948/afmi.2017.13.5.593

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키워드

Decision-makingFuzzy soft setFPFS-setFPFS-topologyFPFS quasi-coincidentFPFS Q-neighborhood

초록

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.

Abstract

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.

참고문헌 (44)

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