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

Joint Authors

Soylu, Gültekin
Güloğlu, Mutlu

Source

Journal of Function Spaces

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-05-26

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Soylu, Gültekin& Güloğlu, Mutlu. 2016. A New Approach to Fuzzy Metric Spaces and Their Similarity-Based Construction. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1108585

Modern Language Association (MLA)

Soylu, Gültekin& Güloğlu, Mutlu. A New Approach to Fuzzy Metric Spaces and Their Similarity-Based Construction. Journal of Function Spaces No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1108585

American Medical Association (AMA)

Soylu, Gültekin& Güloğlu, Mutlu. A New Approach to Fuzzy Metric Spaces and Their Similarity-Based Construction. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1108585

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1108585