Abstract
This paper presents a new approach to compare fuzzy numbers using distance. Initially, the metric distance on the interval numbers based on the convex hull of the endpoints is proposed and it is extended to fuzzy numbers. All the properties of the distance are proved in details. Finally, the ranking of fuzzy numbers by the-distance is discussed. In addition, the proposed method is compared with some known ones, the validity of the new method is illustrated by applying its to several group of fuzzy numbers. © 2011. The authors-Published by Atlantis Press.
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CITATION STYLE
Khezerloo, S., Allahviranloo, T., & Khezerloo, M. (2011). Ranking of fuzzy numbers based on alpha-distance. In Proceedings of the 7th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2011 and French Days on Fuzzy Logic and Applications, LFA 2011 (Vol. 1, pp. 770–777). Atlantis Press. https://doi.org/10.2991/eusflat.2011.95
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