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ISSN: 1558-6359 (Online)
Research Article Open Access

Fuzzy Orders in the Real Line

Lemnaouar Zedam1 and Abdelkader Stouti2
  • 1 M’sila University, Algeria
  • 2 University Sultan Moulay Slimane, Morocco

Abstract

Problem statement: In this study, we characterize a subcategory of fuzzy orders which were compatible with the usual addition and the multiplication by scalar on the real line R. Results and Conclusion: All possible forms of fuzzy orders of this subcategory are given.

Journal of Mathematics and Statistics
Volume 8 No. 2, 2012, 211-215

DOI: https://doi.org/10.3844/jmssp.2012.211.215

Submitted On: 7 February 2012 Published On: 23 April 2012

How to Cite: Zedam, L. & Stouti, A. (2012). Fuzzy Orders in the Real Line. Journal of Mathematics and Statistics, 8(2), 211-215. https://doi.org/10.3844/jmssp.2012.211.215

Open AccessCopyright: © 2012 Lemnaouar Zedam and Abdelkader Stouti. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Fuzzy set
  • fuzzy relation
  • fuzzy order
  • linear fuzzy order
  • usual addition
  • multiplication