Abstract

This work summarizes some ranking methods for fuzzy numbers. A point view of reference system is proposed as a general way to establish ranking methods on sets of fuzzy numbers. Four goodness criteria of ranking methods are established, which can be applied further to decision-making on environment with uncertainty. The idea of ranking fuzzy numbers can also be used for ranking stock performance. As an application, a set of real NASDAQ data is adopted in an example to show the details of the ranking method by lexicography that is a reference system as well.

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