The Interval-Valued Trapezoidal Approximation of Interval-Valued Fuzzy Numbers and Its Application in Fuzzy Risk Analysis

doi:10.1155/2014/254853

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	The Interval-Valued Trapezoidal Approximation of Interval-Valued Fuzzy Numbers and Its Application in Fuzzy Risk Analysis
	Gong, Zengtai 1; Hai, Shexiang 1,2
刊名	JOURNAL OF APPLIED MATHEMATICS
	2014
ISSN号	1110-757X
DOI	10.1155/2014/254853
英文摘要	Taking into account that interval-valued fuzzy numbers can provide more flexibility to represent the imprecise information and interval-valued trapezoidal fuzzy numbers are widely used in practice, this paper devotes to seek an approximation operator that produces an interval-valued trapezoidal fuzzy number which is the nearest one to the given interval-valued fuzzy number, and the approximation operator preserves the core of the original interval-valued fuzzy number with respect to the weighted distance. As an application, we use the interval-valued trapezoidal approximation to handle fuzzy risk analysis problems, which overcome the drawback of existing fuzzy risk analysis methods.
资助项目	National Natural Science Fund of China[61262022] ; Natural Scientific Fund of Gansu Province of China[1208RJZA251] ; Scientific Research Project of Northwest Normal University[NWNU-KJCXGC-03-61]
WOS研究方向	Mathematics
语种	英语
出版者	HINDAWI PUBLISHING CORPORATION
WOS记录号	WOS:000343462000001
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/34524]
专题	理学院
通讯作者	Gong, Zengtai
作者单位	1.Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China 2.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China
推荐引用方式 GB/T 7714	Gong, Zengtai,Hai, Shexiang. The Interval-Valued Trapezoidal Approximation of Interval-Valued Fuzzy Numbers and Its Application in Fuzzy Risk Analysis[J]. JOURNAL OF APPLIED MATHEMATICS,2014.
APA	Gong, Zengtai,&Hai, Shexiang.(2014).The Interval-Valued Trapezoidal Approximation of Interval-Valued Fuzzy Numbers and Its Application in Fuzzy Risk Analysis.JOURNAL OF APPLIED MATHEMATICS.
MLA	Gong, Zengtai,et al."The Interval-Valued Trapezoidal Approximation of Interval-Valued Fuzzy Numbers and Its Application in Fuzzy Risk Analysis".JOURNAL OF APPLIED MATHEMATICS (2014).