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Modification of Similarity Measure Between Interval-valued Fuzzy Numbers Using Modified Similarity Measure of Generalized Fuzzy Numbers

  • Journal of Knowledge Information Technology and Systems
  • Abbr : JKITS
  • 2012, 7(6), pp.165-171
  • Publisher : Korea Knowledge Information Technology Society
  • Research Area : Interdisciplinary Studies > Interdisciplinary Research
  • Published : December 31, 2012

DongEun Lee 1 Se-Yul Lee 1 Cho, Sang Yeop 1

1청운대학교

Accredited

ABSTRACT

In this paper, we present a new method for handling similarity measure between interval-valued fuzzy numbers, which is based on the similarity measure of generalized fuzzy numbers that was proposed by Jiang, W.. This method combines the concepts of the center of gravity, the area, the perimeter and the height of generalized fuzzy numbers to gain the similarity measure between generalized fuzzy numbers. The Jiang’s way can overcome the drawbacks of the other approaches to gain similarity measure of generalized fuzzy numbers such as can-not-find similarity measure, incorrect similarity measure, different similarity measure rather intuition, same similarity measure among different fuzzy numbers. We also provide the proof of some properties for the similarity measure between interval-valued fuzzy numbers.

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