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Studies in fuzzy groups

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dc.contributor.author Makamba BB en
dc.date.accessioned 2016-09-22T08:10:26Z
dc.date.available 2016-09-22T08:10:26Z
dc.date.created 1987 en
dc.date.submitted 1993 en
dc.identifier.uri http://hdl.handle.net/20.500.11892/21786
dc.description.abstract This thesis first extends the notion of fuzzy normality to the notion of normality of a fuzzy subgroup in another fuzzy group. This leads to the study of normal series of fuzzy subgroups, and this study includes solvable and nilpotent fuzzy groups, and the fuzzy version of the Jordan-Holder Theorem. The notion of normality to study products and direct products of fuzzy subgroups is used. A notion of fuzzy isomorphism is presented. A brief discussion on fuzzy subgroups generated by fuzzy subsets is also presented, and this leads to the fuzzy version of the basis theorem. Finally, the notion of direct products enables us to study decomposable and indecomposable fuzzy subgroups, and this study includes the fuzzy version of the Remak-Krull-Schmidt Theorem. en
dc.language English en
dc.subject Mathematics, Mathematical statistics and Statistics en
dc.subject Algebra and number theory en
dc.title Studies in fuzzy groups en
dc.type Doctoral degree en
dc.description.degree PhD en

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