RANKING FUZZY NUMBER BASED ON LEXICOGRAPHIC SCREENING PROCEDURE

Miao-Ling Wang (), Hsiao-Fan Wang () and Chih-Lung Lin
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Miao-Ling Wang: Department of Industrial Engineering and Management, Ming Hsin University of Science & Technology, Hsinchu, Taiwan, Republic of China
Hsiao-Fan Wang: Department of Industrial Engineering and Engineering Management, National Tsing Hua University, Hsinchu, Taiwan, Republic of China
Chih-Lung Lin: Department of Industrial Engineering and Engineering Management, National Tsing Hua University, Hsinchu, Taiwan, Republic of China

International Journal of Information Technology & Decision Making (IJITDM), 2005, vol. 04, issue 04, 663-678

Abstract: Fuzzy numbers are used for representing the numerical quantities in a vague environment. Their ranking order has been an important issue for application purposes. Most of the existing ranking methods transform a fuzzy number into a real number based on certain criteria. There is yet no method that can always give a satisfactory solution. This study pointed out that it cannot be avoided for different fuzzy numbers to be corresponding to the same real number by any type of ranking functions. Therefore, sequential screening approach would be necessary for a complete order of fuzzy numbers. We summarize the properties for a sufficient and necessary set of ranking criteria. Then, based on the ranking order of these criteria, aLexicographical Screening Procedureis proposed, which has shown to be promising in ranking fuzzy number with efficient computation and ease of understanding. Six counterexamples of the existing methods were used for comparison.

Keywords: Fuzzy numbers; ranking criteria and properties; lexicographical screening procedure (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (4)

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DOI: 10.1142/S0219622005001696

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