Abstract
As the title suggests, this chapter is concerned with nilpotent, commutator, and solvable fuzzy subgroups. We give two approaches for the development of these notions, namely one via an ascending chain of fuzzy subgroups and one via descending chain of fuzzy subgroups. The results of this chapter are mainly from [5, 8, 18].
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N. Mordeson, J., R. Bhutani, K., Rosenfeld, A. Nilpotent, Commutator, and Solvable Fuzzy Subgroups. In: Fuzzy Group Theory. Studies in Fuzziness and Soft Computing, vol 182. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10936443_3
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DOI: https://doi.org/10.1007/10936443_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25072-2
Online ISBN: 978-3-540-32395-2
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