Introduction to fuzzy soft groups

被引：221

作者：

Aygunoglu, Abdulkadir ^{[1
]}

Aygun, Halis ^{[1
]}

机构：

[1] Kocaeli Univ, Dept Math, TR-41380 Kocaeli, Turkey

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 06期

关键词：

Fuzzy set; Soft set; Fuzzy soft set; Fuzzy group; Soft group; Fuzzy soft group; SETS;

D O I：

10.1016/j.camwa.2009.07.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the concept of fuzzy soft group is introduced and in the meantime, some of their properties and structural characteristics are discussed and studied. Furthermore, definitions of fuzzy soft function and fuzzy soft homomorphism are defined and the theorems of homomorphic image and homomorphic pre-image are given. After that, the definition of normal fuzzy soft group is given and some of its basic properties are studied. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1279 / 1286

页数：8

共 12 条

[1] Soft sets and soft groups [J].

Aktas, Haci ;

Cagman, Naim .

INFORMATION SCIENCES, 2007, 177 (13) :2726-2735

[2]

[Anonymous], 1995, Theory and applications

[3] INTUITIONISTIC FUZZY-SETS [J].

ATANASSOV, KT .

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

[4] 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

[5]

Maji P.K., 2001, J. Fuzzy Math., V9, P589

[6] 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

[7] Soft set theory - First results [J].

Molodtsov, D .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 37 (4-5) :19-31

[8] ROUGH SETS [J].

PAWLAK, Z .

INTERNATIONAL JOURNAL OF COMPUTER & INFORMATION SCIENCES, 1982, 11 (05) :341-356

[9]

Pei DW, 2005, 2005 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING, VOLS 1 AND 2, P617

[10] FUZZY GROUPS [J].

ROSENFELD, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 35 (03) :512-+

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