REVISION OF SIGN DISTANCE METHOD FOR RANKING OF FUZZY NUMBERS

Publish Year: 1392
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJFS-10-4_008

تاریخ نمایه سازی: 3 تیر 1401

Abstract:

Recently, Abbasbandy and Asady have been proposed a modificationof the distance based approach, namely ``sign distance method''.However, in this paper, it is shown that this method has some drawbacks, i.e.,the result is not consistent with human intuition for specialcases and this method cannot always logically infer rankingorder of the images of the fuzzy numbers. In this paper, wepresent a revised method which can avoid these problems forranking fuzzy numbers. Also, we present several propertiesfor revised sign distance method while the original method does not have some ofthem.

Keywords:

Fuzzy number , Ranking of fuzzy numbers , Sign distance method , Revised sign distance method

Authors

Saeid Abbasbandy

Department of Mathematics, Science and Research Branch, Is- lamic Azad University, Tehran, Iran

Rahele Nuraei

Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran

Mojtaba Ghanbari

Department of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran

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