Soft matrix theory and its decision making

被引:382
作者
Cagman, Naim [1 ]
Enginoglu, Serdar [1 ]
机构
[1] Gaziosmanpasa Univ, Fac Arts & Sci, Dept Math, TR-60250 Tokat, Turkey
关键词
Soft sets; Soft matrix; Products of soft matrices; Soft max-min decision making; SET-THEORY; REDUCTION;
D O I
10.1016/j.camwa.2010.03.015
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work, we define soft matrices and their operations which are more functional to make theoretical studies in the soft set theory. We then define products of soft matrices and their properties. We finally construct a soft max-min decision making method which can be successfully applied to the problems that contain uncertainties. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:3308 / 3314
页数:7
相关论文
共 29 条
[1]   Soft sets and soft groups [J].
Aktas, Haci ;
Cagman, Naim .
INFORMATION SCIENCES, 2007, 177 (13) :2726-2735
[2]   On some new operations in soft set theory [J].
Ali, M. Irfan ;
Feng, Feng ;
Liu, Xiaoyan ;
Min, Won Keun ;
Shabir, M. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (09) :1547-1553
[3]  
Biswas R, 2001, J Fuzzy Math, V9, P677
[4]  
CAGMAN N, EUROPEAN J OPE UNPUB
[5]   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
[6]   Some notes on the parameterization reduction of soft sets [J].
Chen, DG ;
Tsang, ECC ;
Yeung, DS .
2003 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-5, PROCEEDINGS, 2003, :1442-1445
[7]   Soft semirings [J].
Feng, Feng ;
Jun, Young Bae ;
Zhao, Xianzhong .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (10) :2621-2628
[8]   Soft BCK/BCI-algebras [J].
Jun, Young Bae .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (05) :1408-1413
[9]   Applications of soft sets in ideal theory of BCK/BCI-algebras [J].
Jun, Young Bae ;
Park, Chul Hwan .
INFORMATION SCIENCES, 2008, 178 (11) :2466-2475
[10]   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