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FUZZY ORDERING OF FUZZY NUMBERS

JAMES J. BUCKLEY

University of Alabama at Birmingham, Department of Mathematics, Birmingham, Alabama, 35294, USA

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ESFANDIAR ESLAMI

Shahid Bahonar University of Kerman, Department of Mathematics, Kerman, Iran

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https://doi.org/10.1142/S0218488504002680Cited by:5 (Source: Crossref)

Abstract

In this paper we are interested in determining the fuzzy ordering, from smallest to largest, of any finite set of fuzzy numbers. We investigate two methods: (1) using a weak fuzzy ordering; and (2) using a strong fuzzy ordering. Employing a strong fuzzy ordering we show that any finite set of fuzzy numbers has a unique ranking from smallest to largest.

Keywords:

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