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Single-Valued Neutro Hyper BCK-Subalgebras

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  • M. Hamidi
  • F. Smarandache
  • Firdous A. Shah

Abstract

The purpose of this paper is to introduce the notation of single-valued neutrosophic hyper BCK-subalgebras and a novel concept of neutro hyper BCK-algebras as a generalization and alternative of hyper BCK-algebras, that have a larger applicable field. In order to realize the article’s goals, we construct single-valued neutrosophic hyper BCK-subalgebras and neutro hyper BCK-algebras on a given nonempty set. The result of the research is the generalization of single-valued neutrosophic BCK-subalgebras and neutro BCK-algebras to single-valued neutrosophic hyper BCK-subalgebras and neutro hyper BCK-algebras, respectively. Also, some results are obtained between extended (extendable) single-valued neutrosophic BCK-subalgebras and single-valued neutrosophic hyper BCK-subalgebras via fundamental relation. The paper includes implications for the development of single-valued neutrosophic BCK-subalgebras and neutro BCK-algebras and for modelling the uncertainty problems by single-valued neutrosophic hyper BCK-subalgebras and neutro hyper BCK-algebras. The new conception of single-valued neutrosophic hyper BCK-subalgebras and neutro hyper BCK-algebras was given for the first time in this paper. We find a method that can apply these concepts in some complex networks.

Suggested Citation

  • M. Hamidi & F. Smarandache & Firdous A. Shah, 2021. "Single-Valued Neutro Hyper BCK-Subalgebras," Journal of Mathematics, Hindawi, vol. 2021, pages 1-11, September.
    • Handle: RePEc:hin:jjmath:6656739
    DOI: 10.1155/2021/6656739
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    Cited by:

    1. Manivannan Balamurugan & Nazek Alessa & Karuppusamy Loganathan & M. Sudheer Kumar, 2023. "Bipolar Intuitionistic Fuzzy Soft Ideals of BCK/BCI-Algebras and Its Applications in Decision-Making," Mathematics, MDPI, vol. 11(21), pages 1-18, October.

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