Dual Hesitant Fuzzy Soft Set and Its Properties

被引：16

作者：

Zhang, Hai-dong ^{[1
,2
]}

Shu, Lan ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China

[2] Northwest Univ Nationalities, Sch Math & Comp Sci, Lanzhou 730030, Peoples R China

来源：

FUZZY SYSTEMS & OPERATIONS RESEARCH AND MANAGEMENT | 2016年 / 367卷

关键词：

Soft set; Dual hesitant fuzzy set; Dual hesitant fuzzy soft set; Operations; ATTRIBUTE DECISION-MAKING; CORRELATION-COEFFICIENT; AGGREGATION OPERATORS;

D O I：

10.1007/978-3-319-19105-8_17

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The soft set theory, originally proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. By combining the dual hesitant fuzzy set and soft set models, we introduce the concept of dual hesitant fuzzy soft sets. Further some operations on the dual hesitant fuzzy soft sets are investigated, such as complement operation, "AND" and "OR" operations, sum and product operations.

引用

页码：171 / 182

页数：12

共 23 条

[1]

[Anonymous], INFORM CONTROL

[2] INTUITIONISTIC FUZZY-SETS [J].

ATANASSOV, KT .

FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96

[3]

Babitha K. V., 2013, Journal of New Results in Science, V3, P98

[4] Approaches to multiple attribute decision making based on the correlation coefficient with dual hesitant fuzzy information [J].

Chen, Yuanfang ;

Peng, Xiaodong ;

Guan, Guohua ;

Jiang, Huade .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (05) :2547-2556

[5] Implicators based on binary aggregation operators in interval-valued fuzzy set theory [J].

Deschrijver, G ;

Kerre, EE .

FUZZY SETS AND SYSTEMS, 2005, 153 (02) :229-248

[6] Correlation for Dual Hesitant Fuzzy Sets and Dual Interval-Valued Hesitant Fuzzy Sets [J].

Farhadinia, B. .

INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2014, 29 (02) :184-205

[7] VAGUE SETS [J].

GAU, WL ;

BUEHRER, DJ .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1993, 23 (02) :610-614

[8] Interval-valued intuitionistic fuzzy soft sets and their properties [J].

Jiang, Yuncheng ;

Tang, Yong ;

Chen, Qimai ;

Liu, Hai ;

Tang, Jianchao .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (03) :906-918

[9]

Maji K., 2004, J. Fuzzy Math, V12, P669

[10]

Maji P. K., 2001, J FUZZY MATH, V9, P677

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