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

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Keywords

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