✦ LIBER ✦

On ranking fuzzy numbers using valuations

✍ Scribed by Ronald R. Yager; Dimitar Filev

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 153 KB
Volume: 14
Category: Article
ISSN: 0884-8173
DOI: 10.1002/(sici)1098-111x(199912)14:12<1249::aid-int6>3.0.co;2-c

No coin nor oath required. For personal study only.

✦ Synopsis

The importance as well as the difficulty of the problem of ranking fuzzy numbers is pointed out. Here we consider approaches to the ranking of fuzzy numbers based upon the idea of associating with a fuzzy number a scalar value, its valuation, and using this valuation to compare and order fuzzy numbers. Specifically we focus on expected value type valuations which are based upon the transformation of a fuzzy subset into an associated probability distribution. We develop a number of families of parameterized valuation functions.

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