Anti-Imprecision in The Fuzzy Group Concerning Reference ‎Function and Its Application

  • Authors

    • Jaba Rani Narzary Central Institute of Technology Kokrajhar, Department of Mathematics, Kokrajhar, 783370, Assam, India
    • Sahalad Borgoyary Central Institute of Technology Kokrajhar, Department of Mathematics, Kokrajhar, 783370, Assam, India
    https://doi.org/10.14419/m5tmaw61

    Received date: August 18, 2025

    Accepted date: September 28, 2025

    Published date: October 14, 2025

  • Anti Imprecise Subgroup; Α-Imprecise Subsets; Α-Imprecise Cosets; Α-Normal Imprecise Subgroup; Α-Anti-Imprecise ‎Subsets

  • Abstract

    In this article, we first defined an anti-subgroup based on a reference function and then extended it to ‎an α-imprecise subgroup, α-imprecise cosets, an α-normal imprecise subgroup, and finally defined an α-anti-imprecise ‎subset. Additionally, we discuss some of their properties in detail. In this article, it has been proved that an ‎imprecise subgroup (normal imprecise subgroup) is again an α-imprecise subgroup (α-normal imprecise ‎subgroup), but the converse is not true, for which some examples are cited. Furthermore, we anticipated the ‎development of an application derived from an anti-imprecise subgroup that can be applied to a variety of ‎networking issues.

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  • How to Cite

    Narzary, J. R., & Borgoyary, S. (2025). Anti-Imprecision in The Fuzzy Group Concerning Reference ‎Function and Its Application. International Journal of Basic and Applied Sciences, 14(6), 256-273. https://doi.org/10.14419/m5tmaw61