Ranking L–R fuzzy number based on deviation degree
Information SciencesPublished 3 September 2008
Zhongxing Wang, Yong‐Jun Liu, Zhi‐Ping Fan, Bo Feng
Citations163
SJR quartileQ1
SJR score1.80
SNIP1.98
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TL;DR
This paper proposed a novel approach to ranking fuzzy numbers based on the left and right deviation degree (L-R deviation degree) of fuzzy number, and the ranking index value is obtainedbased on the L-R deviations degree and relative variation of fuzzy numbers.
Abstract
This paper proposed a novel approach to ranking fuzzy numbers based on the left and right deviation degree (L–R deviation degree). In the approach, the maximal and minimal reference sets are defined to measure L–R deviation degree of fuzzy number, and then the transfer coefficient is defined to measure the relative variation of L–R deviation degree of fuzzy number. Furthermore, the ranking index value is obtained based on the L–R deviation degree and relative variation of fuzzy numbers. Additionally, to compare the proposed approach with the existing approaches, five numerical examples are used. The comparative results illustrate that the approach proposed in this paper is simpler and better.
Keywords
Decision SciencesMathematicsEngineering
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