Application of fuzzy sets and fuzzy soft sets in hypermodules

被引：8
作者：
Ameri, R. [1 ]
Norouzi, M. [2 ]
Hedayati, H. [3 ]
机构：
[1] Univ Tehran, Sch Math Stat & Comp Sci, Coll Sci, Tehran, Iran
[2] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran
[3] Babol Univ Technol, Fac Basic Sci, Dept Math, Babol Sar, Iran
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2013年 / 107卷 / 02期
关键词：
Fuzzy soft set; Fuzzy sub-hypermodule; Soft hypermodule; Fuzzy soft hypermodule; VIEW;
D O I：
10.1007/s13398-012-0075-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we apply fuzzy soft sets and fuzzy sets to algebraic hyperstructures to define soft hypermodules and fuzzy soft hypermodules. We will proceed to study their structural properties under operations such as union, intersection and "AND". Also, Some of results about the level soft sets of fuzzy soft hypermodules are investigated. Finally, the theorems of homomorphic image and homomorphic pre-image of fuzzy soft hypermodules are discussed.
引用
收藏
页码：327 / 338
页数：12
相关论文
共 32 条
[1]   Soft sets and soft groups [J].
Aktas, Haci ;
Cagman, Naim .
INFORMATION SCIENCES, 2007, 177 (13) :2726-2735
[2]  
Ameri R., 2003, Journal of Discrete Mathematical Sciences & Cryptography, V6, P121, DOI 10.1080/09720529.2003.10697969
[3]   Fuzzy hyperalgebras [J].
Ameri, R. ;
Nozari, T. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (02) :149-154
[4]  
Ameri R, 2011, J MATH COMPUT SCI-JM, V2, P130
[5]   Introduction to fuzzy soft groups [J].
Aygunoglu, Abdulkadir ;
Aygun, Halis .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (06) :1279-1286
[6]  
Biswas R, 2001, J Fuzzy Math, V9, P677
[7]  
Corsini P., 2010, P INT C ALG 2010 ICA
[8]  
CORSINI P., 2003, ADV MATH
[9]  
Corsini P., 1993, PROLEGOMENA HYPERGRO
[10]   Fuzzy Hν-submodules [J].
Davvaz, B .
FUZZY SETS AND SYSTEMS, 2001, 117 (03) :477-484
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