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http://dx.doi.org/10.5391/JKIIS.2010.20.3.356

On some properties of vague bi-groups and fuzzy bi-functions  

Jang, Lee-Chae (Dept. of Mathematics and Computer Science, Konkuk University)
Kim, Tae-Kyun (Division of General Education, Kwangwoon University)
Lee, Byung-Je (Dept. of Wireless Communications Engineering, Kwangwoon University)
Kim, Won-Joo (The Research Institute of natural Sciences, Konkuk University)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.20, no.3, 2010 , pp. 356-361 More about this Journal
Abstract
M. Demirci[Vague groups, J. math. Anal. Appl. vol.230, pp. 142-156, 1999] studied the vague group operation on a crisp set as a fuzzy function and estabished the vague group structure on a crisp set. In this paper we consider bi-groups which are studied by A.A.A. Agboola and L.S. Akinola. And we also will define vague bi-groups and fuzzy bi-functions and we investigate some basic operations on the vague bi-group and fuzzy bi-functions.
Keywords
bi-groups; vague groups; fuzzy equality; vague binary operation; vague bi-groups; fuzzy bi-functions;
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