A Hesitant Soft Fuzzy Rough Set and Its Applications

doi:10.1109/ACCESS.2019.2954179

	A Hesitant Soft Fuzzy Rough Set and Its Applications
	Xie, Ting 1,2; Gong, Zengtai 1
刊名	IEEE ACCESS
	2019
卷号	7 页码:167766-167783
关键词	Rough sets hesitant fuzzy sets soft sets fuzzy binary relations level sets
ISSN号	2169-3536
DOI	10.1109/ACCESS.2019.2954179
通讯作者	Gong, Zengtai(zt-gong@163.com)
英文摘要	The difficulty of establishing a common membership degree is not because there is a margin of error or some possibility distribution values, but because there is a set of possible values. Based on hesitant fuzzy sets and soft sets, a hesitant soft fuzzy rough set model is proposed in this paper. Basic properties of hesitant soft fuzzy rough sets are investigated in detail. We obtain a decomposition theorem for a hesitant fuzzy binary relation, which states that every typical hesitant fuzzy binary relation on a set can be represented by a well-structured family of fuzzy binary relations on that set. Indeed, a hesitant fuzzy soft set can induce a hesitant fuzzy binary relation. Then we give the relationship between hesitant fuzzy rough sets and hesitant soft fuzzy rough sets. In addition, we prove a characterization theorem for the hesitant soft fuzzy rough set model, which shows that the lower and upper hesitant soft fuzzy rough approximations can be equivalently defined by using level sets of the hesitant fuzzy soft set. Finally, by analyzing the limitations and advantages in the existing literatures, we establish an approach to decision making problem based on the hesitant soft fuzzy rough set model proposed in this paper and give a practical example to illustrate the validity of the novel method.
资助项目	Strategic Priority Research Program of Chinese Academy of Sciences[XDA21010202] ; National Natural Science Foundation of China[61763044]
WOS研究方向	Computer Science ; Engineering ; Telecommunications
语种	英语
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
WOS记录号	WOS:000509585900130
资助机构	Strategic Priority Research Program of Chinese Academy of Sciences ; National Natural Science Foundation of China
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/141648]
专题	中国科学院近代物理研究所
通讯作者	Gong, Zengtai
作者单位	1.Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China 2.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China
推荐引用方式 GB/T 7714	Xie, Ting,Gong, Zengtai. A Hesitant Soft Fuzzy Rough Set and Its Applications[J]. IEEE ACCESS,2019,7:167766-167783.
APA	Xie, Ting,&Gong, Zengtai.(2019).A Hesitant Soft Fuzzy Rough Set and Its Applications.IEEE ACCESS,7,167766-167783.
MLA	Xie, Ting,et al."A Hesitant Soft Fuzzy Rough Set and Its Applications".IEEE ACCESS 7(2019):167766-167783.