Determining Fuzzy Distance Through Non-Self Fuzzy Contractions

  • Shantanu Guria Indian Institute of Engineering Science and Technology, Shibpur
  • Parbati Saha Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah - 711103, India
  • Binayak S. Choudury Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah - 711103, India

Abstract

In the present work we solve the problem of finding the fuzzy distance between two subsets of a fuzzy metric space for which we use a non-self fuzzy contraction mapping from one set to the other. It is a fuzzy extension of the proximity point problem and, by its nature, is a problem of global optimization. The contraction is defined here with the help of two control functions. We define a geometric property of the fuzzy metric space. The main result is illustrated with an example. Our result extends a fuzzy version of the Banach contraction mapping principle.

Published
2019-02-20
How to Cite
GURIA, Shantanu; SAHA, Parbati; CHOUDURY, Binayak S.. Determining Fuzzy Distance Through Non-Self Fuzzy Contractions. Yugoslav Journal of Operations Research, [S.l.], v. 29, n. 3, p. 325-335, feb. 2019. ISSN 2334-6043. Available at: <https://yujor.fon.bg.ac.rs/index.php/yujor/article/view/627>. Date accessed: 16 feb. 2025.
Citation Formats
Issue
Vol 29 No 3 (2019)
Section
Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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