Ordered fuzzy number - Open Access .click

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004
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.
James J. Buckley, Esfandiar Eslami
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Fuzzy ordering of fuzzy numbers

2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542), 2005
Fuzzy numbers cannot be easily ordered as ordinary real numbers. Several proposals have addressed this problem, each with some drawbacks and limitations. This paper renounces to the idea of finding a universal ordering method for fuzzy numbers and suggests to compute the degree by which an arbitrary permutation of fuzzy numbers is ordered.
Gerardo Canfora, Luigi Troiano
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On ordering fuzzy numbers

International Journal of Intelligent Systems, 2000
Summary: At the heart of many statistical processing algorithms lies the concept of ordering a set of crisp numbers, either according to their own values (``direct'' sorting), or according to the values of a second set of numbers (``indirect'' sorting).
H. B. Mitchell, P. A. Schaefer
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VSOP fuzzy numbers and their fuzzy ordering

Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kiyomitsu Horiuchi, Naoyuki Tamura
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fuzzy numbers
theory of fuzzy sets, etc.
fuzzy logic

aggregation operators
multi-criteria decision making
decision making

decision theory
fuzzy number
multi-attribute decision making