| Title of paper:
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Counting the number of intuitionistic fuzzy subgroups of finite Abelian groups of different order
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| Author(s):
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| Neeraj Doda
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| Hindu College, Amritsar, India
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| neerajdoda11@yahoo.com
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| P. K. Sharma
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| Hindu College, Amritsar, India
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| pk_Sharma7@rediffmail.com
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| Published in:
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"Notes on IFS", Volume 19, 2013, Number 4, pages 42—47
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| Download:
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 PDF (108 Kb, File info)
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| Abstract:
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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.
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| Keywords:
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Double pins, Double keychain, Double pinned flag, Equivalence, Intuitionistic fuzzy subgroup.
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| AMS Classification:
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08A72, 20N25, 03F55.
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| References:
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| Citations:
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