A NEW APPROACH TO FUZZY GROUPOIDS

被引：5
作者：
YOUSSEF, NL
DIB, KA
机构：
[1] UNIV CAIRO,FAC EDUC,DEPT MATH,FAYOUM BRANCH,AL FAIYUM,EGYPT
[2] UNIV CAIRO,FAC SCI,DEPT MATH,GIZA,EGYPT
来源：
FUZZY SETS AND SYSTEMS | 1992年 / 49卷 / 03期
关键词：
FUZZY CARTESIAN PRODUCT; FUZZY FUNCTION; FUZZY BINARY OPERATION; FUZZY GROUPOID; STABLE FAMILY OF FUZZY SUBSETS; FUZZY SUBGROUPOID; GENERAL FUZZY SUBGROUPOID; FUZZY PRODUCT OF FUZZY SUBGROUPOIDS; FUZZY HOMOMORPHISM;
D O I：
10.1016/0165-0114(92)90289-G
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We establish a new approach to fuzzy groupoids. A concept of fuzzy binary operation is introduced in terms of the concepts of fuzzy Cartesian product and fuzzy function (introduced by the authors in a foregoing paper). Having defined a fuzzy binary operation, the concepts of fuzzy groupoid, subgroupoid, homomorphism, etc. are introduced and investigated. A theory of fuzzy groupoids is built up. This approach is both intrinsic and more general than the well-known current approach.
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页码：381 / 392
页数：12
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