ON n-ARY HYPERGROUPS AND FUZZY n-ARY HOMOMORPHISM

被引：0

作者：

Kazanci, O. ^{[1
]}

Yamak, S. ^{[1
]}

Davvaz, B. ^{[2
]}

机构：

[1] Karadeniz Tech Univ, Dept Math, TR-61080 Trabzon, Turkey

[2] Yazd Univ, Dept Math, Yazd, Iran

来源：

IRANIAN JOURNAL OF FUZZY SYSTEMS | 2011年 / 8卷 / 01期

关键词：

Hypergroup; n-ary hypergroup; Fuzzy set; n-ary sub-hypergroup; Fuzzy n-ary sub-hypergroup n-ary homomorphism;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to introduce the notion of fuzzy homomorphism and fuzzy isomorphism between two n-ary hypergroups and to extend the fuzzy results of fundamental equivalence relations to n-ary hypergroups. We study some of their properties and prove the decomposition theorems for fuzzy homomorphism and fuzzy isomorphism.

引用

页码：65 / 76

页数：12

共 36 条

[1] HOMOMORPHISM OF FUZZY GROUPS, CORRESPONDENCE THEOREM AND FUZZY QUOTIENT GROUPS
AJMAL, N
[J]. FUZZY SETS AND SYSTEMS, 1994, 61 (03) : 329 - 339
[2] Ameri R., 1999, ITALIAN J PURE APPL, V6, P21
[3] Lattice structure on fuzzy congruence relations of a hypergroupoid
Bakhshi, M.
Borzooei, R. A.
[J]. INFORMATION SCIENCES, 2007, 177 (16) : 3305 - 3313
[4] FUZZY HOMOMORPHISM AND ALGEBRAIC STRUCTURES
CHAKRABORTY, AB
KHARE, SS
[J]. FUZZY SETS AND SYSTEMS, 1993, 59 (02) : 211 - 221
[5] CORSINI P, 1994, P 5 INT C ALG HYP AP, P45
[6] CORSINI P., 2003, ADV MATH
[7] Corsini P., 1993, PROLEGOMENA HYPERGRO
[8] CORSINI P, 1997, PUMA, V8, P29
[9] FUZZY GROUPS AND LEVEL SUBGROUPS
DAS, PS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 84 (01) : 264 - 269
[10] Davvaz B, 2006, IRAN J SCI TECHNOL A, V30, P165

← 1 2 3 4 →