International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 23, Pages 3819-3826
doi:10.1155/IJMMS.2005.3819
Pinned-flags of some operations on fuzzy subgroups.
B.B. Makamba1
and V. Murali2
1Department of Mathematics (Pure and Applied), University of Fort Hare, Alice 5700, South Africa
2Department of Mathematics (Pure and Applied), Rhodes University, Grahamstown 6140, South Africa
Abstract
Fuzzy subgroups of finite groups have been treated recently using the concept of pinned-flags. In this paper, we consider the operations of intersection, sum, product, and quotient of fuzzy subgroups of finite abelian groups in general, in terms of pinned-flags. We develop algorithms to construct pinned-flags of fuzzy subgroups corresponding to these operations and prove their validity. We illustrate some applications of such algorithms.