On an equivalence of fuzzy subgroups III

V. Murali and B. B. Makamba

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-11

Abstract:

This paper is the third in a series of papers studying equivalence classes of fuzzy subgroups of a given group under a suitable equivalence relation. We introduce the notion of a pinned flag in order to study the operations sum, intersection and union, and their behavior with respect to the equivalence. Further, we investigate the extent to which a homomorphism preserves the equivalence. Whenever the equivalences are not preserved, we have provided suitable counterexamples.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:385436

DOI: 10.1155/S0161171203205238

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