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Issue:Counting the number of intuitionistic fuzzy subgroups of finite Abelian groups of different order

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Title of paper: Counting the number of intuitionistic fuzzy subgroups of finite Abelian groups of different order
Author(s):
Neeraj Doda
Hindu College, Amritsar, India
neerajdoda11@yahoo.com
P. K. Sharma
Hindu College, Amritsar, India
pk_Sharma7@rediffmail.com
Published in: "Notes on IFS", Volume 19, 2013, Number 4, pages 42—47
Download:  PDF (108  Kb, Info)
Abstract: In this paper, we have defined double keychain, double pinned flag and equivalence classes of intuitionistic fuzzy subgroups of a group by using an equivalence relation. We have also determined the formulae to count the number of distinct intuitionistic fuzzy subgroups of finite Abelian groups; in particular the intuitionistic fuzzy subgroups of p-groups and that of [math]\displaystyle{ Z_{p^2} \times Z_q }[/math], where p and q are distinct primes.
Keywords: Double pins, Double keychain, Double pinned flag, Equivalence, Intuitionistic fuzzy subgroup.
AMS Classification: 08A72, 20N25, 03F55.
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