A New Approach to Fuzzy Metric Spaces and Their Similarity-Based Construction


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SOYLU G., GÜLOĞLU M.

JOURNAL OF FUNCTION SPACES, vol.2016, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2016
  • Publication Date: 2016
  • Doi Number: 10.1155/2016/2945210
  • Journal Name: JOURNAL OF FUNCTION SPACES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Akdeniz University Affiliated: Yes

Abstract

We introduce a space of functions which can be interpreted as a similarity-based approach to fuzzy metric spaces. The triangle inequality we propose is defined by means of a fuzzy ordering. We compare the introduced space with fuzzy metric spaces in the sense of Seikkala and Kaleva. Finally we complete the work discovering the corresponding classical as well as fuzzy topologies.