ON THE DEFINITION OF A FUZZY SUBGROUP

被引:169
作者
BHAKAT, SK [1 ]
DAS, P [1 ]
机构
[1] VISVA BHARATI UNIV,DEPT MATH,SANTINIKETAN 731235,W BENGAL,INDIA
关键词
FUZZY ALGEBRA; FUZZY POINT; QUASI-COINCIDENCE; FUZZY SUBGROUP; FUZZY NORMAL SUBGROUP; FUZZY COSET;
D O I
10.1016/0165-0114(92)90196-B
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, some new concepts of a fuzzy subgroup are introduced and their acceptibility is investigated. Some fundamental properties of one such viable fuzzy subgroup are obtained.
引用
收藏
页码:235 / 241
页数:7
相关论文
共 12 条
[1]   FUZZY GROUPS REDEFINED [J].
ANTHONY, JM ;
SHERWOOD, H .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 69 (01) :124-130
[2]   FUZZY SUBGROUPS - SOME CHARACTERIZATIONS [J].
BHATTACHARYA, P .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 128 (01) :241-252
[3]   FUZZY SUBGROUPS - SOME CHARACTERIZATIONS .2. [J].
BHATTACHARYA, P .
INFORMATION SCIENCES, 1986, 38 (03) :293-297
[4]   FUZZY GROUPS AND LEVEL SUBGROUPS [J].
DAS, PS .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 84 (01) :264-269
[5]  
Ming PP, 1980, J MATH ANAL APPL, V76, P571
[6]   FUZZY NORMAL-SUBGROUPS AND FUZZY COSETS [J].
MUKHERJEE, NP ;
BHATTACHARYA, P .
INFORMATION SCIENCES, 1984, 34 (03) :225-239
[7]   FUZZY GROUPS - SOME GROUP-THEORETIC ANALOGS [J].
MUKHERJEE, NP ;
BHATTACHARYA, P .
INFORMATION SCIENCES, 1986, 39 (03) :247-267
[8]  
OSMAN MTA, 1984, FUZZY SET SYST, V12, P87, DOI 10.1016/0165-0114(84)90052-6
[9]  
OSMAN MTA, 1987, FUZZY SETS SYSTEMS, V21, P79
[10]   FUZZY GROUPS [J].
ROSENFELD, A .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 35 (03) :512-+