Weighted Moving Averages for a Series of Fuzzy Numbers Based on Nonadditive Measures with sigma - lambda Rules and Choquet Integral of Fuzzy-Number-Valued Function

doi:10.1155/2020/3013648

	Weighted Moving Averages for a Series of Fuzzy Numbers Based on Nonadditive Measures with sigma - lambda Rules and Choquet Integral of Fuzzy-Number-Valued Function
	Gong, Zengtai1,2 ; Lei, Wenjing 3; Liu, Kun 4; Qin, Na2
	2020-03-30
发表期刊	Journal of Function Spaces
ISSN	2314-8896
卷号	2020
摘要	The aim of this study is to generalize moving average by means of Choquet integral. First, by employing nonadditive measures with delta - lambda rules, the calculation of the moving average for a series of fuzzy numbers can be transformed into Choquet integration of fuzzy-number-valued function under discrete case. Meanwhile, the Choquet integral of fuzzy number and Choquet integral of fuzzy number vector are defined. Finally, some properties are investigated by means of convolution formula of Choquet integral. It shows that the results obtained in this paper extend the previous conclusions.
DOI	10.1155/2020/3013648
收录类别	SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000528011800005
出版者	HINDAWI LTD
原始文献类型	Article
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.nwnu.edu.cn/handle/39RV6HYL/34171
专题	科研机构_甘肃省物联网工程研究中心实体学院_数学与统计学院实体学院_计算机科学与工程学院
通讯作者	Gong, Zengtai
作者单位	1.Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China; 2.Northwest Normal Univ, Internet Things Engn Res Ctr Gansu Prov, Lanzhou, Peoples R China; 3.Tongji Univ, Sch Econ & Management, Shanghai 200092, Peoples R China; 4.Longdong Univ, Coll Math & Stat, Qingyang 745000, Gansu, Peoples R China
第一作者单位	数学与统计学院; 甘肃省物联网工程研究中心
通讯作者单位	数学与统计学院; 甘肃省物联网工程研究中心
第一作者的第一单位	数学与统计学院
推荐引用方式 GB/T 7714	Gong, Zengtai,Lei, Wenjing,Liu, Kun,et al. Weighted Moving Averages for a Series of Fuzzy Numbers Based on Nonadditive Measures with sigma - lambda Rules and Choquet Integral of Fuzzy-Number-Valued Function[J]. Journal of Function Spaces,2020,2020.
APA	Gong, Zengtai,Lei, Wenjing,Liu, Kun,&Qin, Na.(2020).Weighted Moving Averages for a Series of Fuzzy Numbers Based on Nonadditive Measures with sigma - lambda Rules and Choquet Integral of Fuzzy-Number-Valued Function.Journal of Function Spaces,2020.
MLA	Gong, Zengtai,et al."Weighted Moving Averages for a Series of Fuzzy Numbers Based on Nonadditive Measures with sigma - lambda Rules and Choquet Integral of Fuzzy-Number-Valued Function".Journal of Function Spaces 2020(2020).

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