Combination of interval-valued fuzzy set and soft set

被引:439
作者
Yang, Xibei [1 ,2 ]
Lin, Tsau Young [2 ]
Yang, Jingyu [1 ]
Li, Yan [1 ]
Yu, Dongjun [1 ,3 ]
机构
[1] Nanjing Univ Sci & Technol, Sch Comp Sci & Technol, Nanjing 210094, Jiangsu, Peoples R China
[2] San Jose State Univ, Dept Comp Sci, San Jose, CA 95192 USA
[3] Univ York, Dept Comp Sci, York YO10 5DD, N Yorkshire, England
关键词
Fuzzy soft set; Interval-valued fuzzy set; Interval-valued fuzzy soft set; Operation; Choice value; THEORETIC APPROACH; REDUCTION;
D O I
10.1016/j.camwa.2009.04.019
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The soft set theory, proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. By combining the interval-valued fuzzy set and soft set models, the purpose of this paper is to introduce the concept of the interval-valued fuzzy soft set. The complement, "AND" and "OR" operations are defined on the interval-valued fuzzy soft sets. The DeMorgan's, associative and distribution laws of the interval-valued fuzzy soft sets are then proved. Finally, a decision problem is analyzed by the interval-valued fuzzy soft set. Some numerical examples are employed to substantiate the conceptual arguments. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:521 / 527
页数:7
相关论文
共 16 条
[1]   Soft sets and soft groups [J].
Aktas, Haci ;
Cagman, Naim .
INFORMATION SCIENCES, 2007, 177 (13) :2726-2735
[2]   The parameterization reduction of soft sets and its applications [J].
Chen, DG ;
Tsang, ECC ;
Yeung, DS ;
Wang, XZ .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (5-6) :757-763
[3]   Soft semirings [J].
Feng, Feng ;
Jun, Young Bae ;
Zhao, Xianzhong .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (10) :2621-2628
[4]   A METHOD OF INFERENCE IN APPROXIMATE REASONING BASED ON INTERVAL-VALUED FUZZY-SETS [J].
GORZALCZANY, MB .
FUZZY SETS AND SYSTEMS, 1987, 21 (01) :1-17
[5]   Soft BCK/BCI-algebras [J].
Jun, Young Bae .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (05) :1408-1413
[6]   The normal parameter reduction of soft sets and its algorithm [J].
Kong, Zhi ;
Gao, Liqun ;
Wang, Lifu ;
Li, Steven .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (12) :3029-3037
[7]   Comment on "A fuzzy soft set theoretic approach to decision making problems" [J].
Kong, Zhi ;
Gao, Liqun ;
Wang, Lifu .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 223 (02) :540-542
[8]   Soft set theory [J].
Maji, PK ;
Biswas, R ;
Roy, AR .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 45 (4-5) :555-562
[9]   An application of soft sets in a decision making problem [J].
Maji, PK ;
Roy, AR .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (8-9) :1077-1083
[10]  
MAJI PK, 2001, J FUZZY MATH, V9, P589, DOI DOI 10.4236/AM.2014.59127