Fuzzy Soft Metric and Fuzzifying Soft Topology Induced by Fuzzy Soft Metric


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AYGÜNOĞLU A., AYDOĞDU E., AYGÜN H.

FILOMAT, vol.33, no.2, pp.645-653, 2019 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 33 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.2298/fil1902645a
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.645-653
  • Keywords: Fuzzy soft metric, fuzzy metric, fuzzifying soft topology, SET-THEORY
  • Open Archive Collection: AVESIS Open Access Collection
  • Kocaeli University Affiliated: Yes

Abstract

Our main goal with this paper is to construct soft topology and fuzzifying soft topology induced by fuzzy soft metric. For this, we present fuzzy soft metric spaces compatible to soft set theory and studied some of its basic properties. Then we investigate soft topological structures induced by fuzzy soft metrics.