Soft set theory and uni-int decision making

被引：502

作者：

Cagman, Naim ^{[1
]}

Enginoglu, Serdar ^{[1
]}

机构：

[1] Gaziosmanpasa Univ, Dept Math, Fac Arts & Sci, TR-60250 Tokat, Turkey

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2010年 / 207卷 / 02期

关键词：

Soft sets; Soft operations; Soft products; uni-int Decision function; uni-int Decision making; REDUCTION;

D O I：

10.1016/j.ejor.2010.05.004

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

We firstly redefine the operations of Molodtsov's soft sets to make them more functional for improving several new results. We also define products of soft sets and uni-int decision function. By using these new definitions we then construct an uni-int decision making method which selects a set of optimum elements from the alternatives. We finally present an example which shows that the method can be successfully applied to many problems that contain uncertainties. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：848 / 855

页数：8

共 30 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] INTUITIONISTIC FUZZY-SETS [J].

ATANASSOV, KT .

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

[4] Soft matrix theory and its decision making [J].

Cagman, Naim ;

Enginoglu, Serdar .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (10) :3308-3314

[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] Soft semirings [J].

Feng, Feng ;

Jun, Young Bae ;

Zhao, Xianzhong .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (10) :2621-2628

[7] VAGUE SETS [J].

GAU, WL ;

BUEHRER, DJ .

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

[8] 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

[9] Soft BCK/BCI-algebras [J].

Jun, Young Bae .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (05) :1408-1413

[10] 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

← 1 2 3 →