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

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SOYLU G., GÜLOĞLU M.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2016
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1155/2016/2945210
  • Dergi Adı: JOURNAL OF FUNCTION SPACES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.