FUZZY ORDERING OF FUZZY NUMBERS

Author:

BUCKLEY JAMES J.1,ESLAMI ESFANDIAR2

Affiliation:

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Reference20 articles.

1. A review of some methods for ranking fuzzy subsets

2. Ranking alternatives using fuzzy numbers

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4. A fast method of ranking alternatives using fuzzy numbers

5. P. T. Chang and E. S. Lee, Fuzzy Optimization: Recent Advances, eds. M. Delgado (Physica-Verlag, Heidelberg, 1994) pp. 69–81.

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