Area ranking of fuzzy numbers based on positive and negative ideal points

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	Area ranking of fuzzy numbers based on positive and negative ideal points
	Wang, Ying-Ming ; Luo, Ying ; Wang YM(王艺明)
刊名	http://dx.doi.org/10.1016/j.camwa.2009.07.064
	2009-09
关键词	MATHEMATICAL-PROGRAMMING APPROACH DECISION-MAKING MINIMIZING SET MAXIMIZING SET REASONABLE PROPERTIES SOFTWARE-DEVELOPMENT AGGREGATIVE RISK INTEGRAL VALUE DISTANCE ALTERNATIVES
英文摘要	National Natural Science Foundation of China (NSFC) [70771027]; The maximizing set and minimizing set method is a popular ranking approach for fuzzy numbers, which ranks them based on their left, right and total utilities. This paper presents an alternative ranking approach for fuzzy numbers called area ranking based on positive and negative ideal points, which defines two new alternative indices for the purpose of ranking. The two new indices are defined in terms of a decision maker (DM)'s attitude towards risks and the left and the right areas between fuzzy numbers and the two ideal points. It is shown that the area ranking approach has strong discrimination power and can rank fuzzy numbers that are unable to be discriminated by the maximizing set and minimizing set method. It is also shown that the DM's attitude towards risks may have a significant impact on the ranking of fuzzy numbers. As a side product a new defuzzification, formula is also developed and discussed. (C) 2009 Elsevier Ltd. All rights reserved.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/64859]
专题	经济学院－已发表论文
推荐引用方式 GB/T 7714	Wang, Ying-Ming,Luo, Ying,Wang YM. Area ranking of fuzzy numbers based on positive and negative ideal points[J]. http://dx.doi.org/10.1016/j.camwa.2009.07.064,2009.
APA	Wang, Ying-Ming,Luo, Ying,&王艺明.(2009).Area ranking of fuzzy numbers based on positive and negative ideal points.http://dx.doi.org/10.1016/j.camwa.2009.07.064.
MLA	Wang, Ying-Ming,et al."Area ranking of fuzzy numbers based on positive and negative ideal points".http://dx.doi.org/10.1016/j.camwa.2009.07.064 (2009).