A mathematical programming approach to multi-attribute decision making with interval-valued intuitionistic fuzzy assessment information

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	A mathematical programming approach to multi-attribute decision making with interval-valued intuitionistic fuzzy assessment information
	Wang, Zhoujing ; Li, Kevin W. ; Xu, Jianhui ; Wang ZJ(王周敬)
刊名	http://dx.doi.org/10.1016/j.eswa.2011.04.027
	2011-09-15
关键词	SET-THEORY TOPSIS METHOD PREFERENCE RELATIONS SUPPLIER SELECTION ENVIRONMENT OPERATORS AHP
英文摘要	Natural Science Foundation of Fujian Province of China [2010J01362]; Natural Sciences and Engineering Research Council of Canada (NSERC); This article proposes an approach to handle multi-attribute decision making (MADM) problems under the interval-valued intuitionistic fuzzy environment, in which both assessments of alternatives on attributes (hereafter, referred to as attribute values) and attribute weights are provided as interval-valued intuitionistic fuzzy numbers (IVIFNs). The notion of relative closeness is extended to interval values to accommodate IVIFN decision data, and fractional programming models are developed based on the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method to determine a relative closeness interval where attribute weights are independently determined for each alternative. By employing a series of optimization models, a quadratic program is established for obtaining a unified attribute weight vector, whereby the individual IVIFN attribute values are aggregated into relative closeness intervals to the ideal solution for final ranking. An illustrative supplier selection problem is employed to demonstrate how to apply the proposed procedure. (C) 2011 Elsevier Ltd. All rights reserved.
语种	英语
出版者	EXPERT SYST APPL
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/92413]
专题	信息技术－已发表论文
推荐引用方式 GB/T 7714	Wang, Zhoujing,Li, Kevin W.,Xu, Jianhui,et al. A mathematical programming approach to multi-attribute decision making with interval-valued intuitionistic fuzzy assessment information[J]. http://dx.doi.org/10.1016/j.eswa.2011.04.027,2011.
APA	Wang, Zhoujing,Li, Kevin W.,Xu, Jianhui,&王周敬.(2011).A mathematical programming approach to multi-attribute decision making with interval-valued intuitionistic fuzzy assessment information.http://dx.doi.org/10.1016/j.eswa.2011.04.027.
MLA	Wang, Zhoujing,et al."A mathematical programming approach to multi-attribute decision making with interval-valued intuitionistic fuzzy assessment information".http://dx.doi.org/10.1016/j.eswa.2011.04.027 (2011).