REVISION OF SIGN DISTANCE METHOD FOR RANKING OF FUZZY NUMBERS

Document Type: Research Paper

Authors

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

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

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

Abstract

Recently, Abbasbandy and Asady have been proposed a modification
of 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 special
cases and this method cannot always logically infer ranking
order of the images of the fuzzy numbers. In this paper, we
present a revised method which can avoid these problems for
ranking fuzzy numbers. Also, we present several properties
for revised sign distance method while the original method does not have some of
them.

Keywords


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