An annulus approach to fuzzy subgroups.

(1998) An annulus approach to fuzzy subgroups. Masters thesis, King Fahd University of Petroleum and Minerals.


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English Abstract

In this thesis we introduce the annuli of a fuzzy subgroup and use it as a tool to give alternate proofs of some properties of fuzzy subgroups and to straighten out some known results on fuzzy normal and fuzzy abelian groups and obtain some new results about them. It is also used to describe the left and right fuzzy cosets determined by a fuzzy subgroup. We obtain some commutative diagrams which relate to homomorphisms, fuzzy subgroups and fuzzy quotient groups. Finally, we straighten out some chains of fuzzy normal subgroups which lead to the concept of fuzzy solvable groups.

Item Type: Thesis (Masters)
Subjects: Math
Department: College of Computing and Mathematics > Mathematics
Committee Advisor: Ibrahim, M. B.
Committee Members: Ahsan, Javed and Thaheem, A.B.
Depositing User: Mr. Admin Admin
Date Deposited: 22 Jun 2008 14:03
Last Modified: 01 Nov 2019 14:00