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On an equivalence of fuzzy subgroups III

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  • V. Murali
  • B. B. Makamba

Abstract

This paper is the third in a series of papers studying equivalence classes of fuzzy subgroups of a given group under a suitable equivalence relation. We introduce the notion of a pinned flag in order to study the operations sum, intersection and union, and their behavior with respect to the equivalence. Further, we investigate the extent to which a homomorphism preserves the equivalence. Whenever the equivalences are not preserved, we have provided suitable counterexamples.

Suggested Citation

  • V. Murali & B. B. Makamba, 2003. "On an equivalence of fuzzy subgroups III," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:385436
    DOI: 10.1155/S0161171203205238
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    Cited by:

    1. Rajesh Kumar Mohapatra & Tzung-Pei Hong, 2022. "On the Number of Finite Fuzzy Subsets with Analysis of Integer Sequences," Mathematics, MDPI, vol. 10(7), pages 1-19, April.

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