FUZZY GENERALIZED BI-IDEALS IN SEMIGROUPS

被引:39
作者
KUROKI, N
机构
[1] Department of Mathematics, Joetsu University of Education, 943, Joetsu-shi, Niigata-ken, Japan
关键词
D O I
10.1016/0020-0255(92)90095-P
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We introduce the concept of a fuzzy generalized bi-ideal of a semigroup, which is an extension of the concept of a fuzzy bi-ideal (and of a nonfuzzy bi-ideal and a nonfuzzy ideal of a semigroup), and characterize regular semigroups, and both intraregular and left quasiregular semigroups in terms of fuzzy generalized bi-ideals.
引用
收藏
页码:235 / 243
页数:9
相关论文
共 10 条
[1]  
CALAIS J, 1961, CR HEBD ACAD SCI, V252, P2357
[2]  
CLIFFORD A., 1961, ALGEBRAIC THEORY SEM, VI
[3]   ON FUZZY IDEALS AND FUZZY BI-IDEALS IN SEMIGROUPS [J].
KUROKI, N .
FUZZY SETS AND SYSTEMS, 1981, 5 (02) :203-215
[4]   FUZZY SEMIPRIME IDEALS IN SEMIGROUPS [J].
KUROKI, N .
FUZZY SETS AND SYSTEMS, 1982, 8 (01) :71-79
[5]   ON FUZZY SEMIGROUPS [J].
KUROKI, N .
INFORMATION SCIENCES, 1991, 53 (03) :203-236
[6]  
Kuroki N., 1979, COMMENTARII MATH U S, V28, P17
[7]  
LAJOS S, 1979, COLL MATH SOC J BOLY, P335
[8]   FUZZY INVARIANT-SUBGROUPS AND FUZZY IDEALS [J].
LIU, WJ .
FUZZY SETS AND SYSTEMS, 1982, 8 (02) :133-139
[9]   ON FUZZY IDEALS OF A RING .1. [J].
MUKHERJEE, TK ;
SEN, MK .
FUZZY SETS AND SYSTEMS, 1987, 21 (01) :99-104
[10]   FUZZY GROUPS [J].
ROSENFELD, A .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 35 (03) :512-+