FUZZY SUBGROUPS, FUZZY IDEALS, AND FUZZY COSETS - SOME PROPERTIES

被引：14
|
作者：
KUMAR, R
机构：
[1] Department of Mathematics, P.G.D.A.V. College (E), University of Delhi, New Delhi, 110065, Nehru Nagar, Ring Road
来源：
FUZZY SETS AND SYSTEMS | 1992年 / 48卷 / 02期
关键词：
FUZZY SUBGROUP; FUZZY IDEAL;
D O I：
10.1016/0165-0114(92)90341-Z
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
As an application of fuzzy subgroups, a necessary and sufficient condition for a p-group to be cyclic is obtained. A procedure to construct the fuzzy subgroup generated by a fuzzy subset of a group is provided. Also, the effect of a homomorphism on the sum (product, intersection) of two fuzzy ideals is studied. Some elementary properties of the ring fuzzy cosets of a fuzzy ideal are also obtained.
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页码：267 / 274
页数：8
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