Abstract
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). In this paper we show how the concept of direct and indirect sorting may be generalized to fuzzy numbers. We present two techniques for doing this: one is based on fuzzy permutation matrices and the other is based on Zadeh's extension principle. In the final section of the article we use the new direct and indirect fuzzy sorting techniques to define two new fuzzy number ordered weighted average (OWA) operators. © 2000 John Wiley & Sons, Inc.
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