Bicoset of an -fuzzy bigroup

In this paper, we define ([member of], [member of] v q)- fuzzy normal bigroup and ([member of], [member of] v q)- fuzzy bicoset of a bigroup and discuss their properties as an extension of our work in (2). We show that an ([member of], [member of] v q)- fuzzy bigroup of a bigroup G is an ([member of...

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Bibliographic Details
Published in:International journal of mathematical combinatorics 2012-12, Vol.4, p.1
Main Authors: Akinola, L S, Agboola, A A A, Oyebo, Y T
Format: Article
Language:English
Subjects:
Fuzzy algorithms
Fuzzy logic
Fuzzy sets
Fuzzy systems
Group theory
Set theory
Studies
Online Access:Get full text
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Summary:In this paper, we define ([member of], [member of] v q)- fuzzy normal bigroup and ([member of], [member of] v q)- fuzzy bicoset of a bigroup and discuss their properties as an extension of our work in (2). We show that an ([member of], [member of] v q)- fuzzy bigroup of a bigroup G is an ([member of], [member of] v q)- fuzzy normal bigroup of G if and only if ([member of], [member of] v q)- fuzzy left bicosets and ([member of], [member of] v q)- fuzzy right bicosets of G are equal. We also define appropriate algebraic operation on the set of all ([member of], [member of] v q)- fuzzy normal bigroup of a bigroup G and show that it forms a group. Key Words: bigroup, fuzzy bigroup, ([member of] vq)-fuzzy bigroup, ([member of], [member of] vq)-fuzzy bicosets. AMS(2010): 03E72, 20D25
ISSN:1937-1055
1937-1047