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Double-Framed Soft Set Theory Applied to Hyper BCK-Algebras

Author

Listed:
  • Hashem Bordbar

    (Center for Information Technologies and Applied Mathematics, University of Nova Gorica, Slovenia)

  • Somayeh Khademan

    (#x2020;Department of Mathematics, Tarbiat Modares University, Tehran, Iran)

  • Rajab Ali Borzooei

    (#x2021;Department of Mathematics, Shahid Beheshti University, Tehran 1983963113, Iran)

  • Mohammad Mehdi Zahedi

    (#xA7;Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran)

  • Young Bae Jun

    (#x2021;Department of Mathematics, Shahid Beheshti University, Tehran 1983963113, Iran¶Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea)

Abstract

The notions of double-framed soft hyper BCK-algebra and double-framed soft (strong) hyper BCK-ideal of a hyper BCK-algebra are introduced, and related properties are investigated. Characterizations of double-framed soft hyper BCK-algebra and double-framed soft hyper BCK-ideal are considered. Relations between double-framed soft hyper BCK-ideal and double-framed soft strong hyper BCK-ideal are discussed. Conditions for a double-framed soft set to be a double-framed soft strong hyper BCK-ideal are provided.

Suggested Citation

  • Hashem Bordbar & Somayeh Khademan & Rajab Ali Borzooei & Mohammad Mehdi Zahedi & Young Bae Jun, 2021. "Double-Framed Soft Set Theory Applied to Hyper BCK-Algebras," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 17(01), pages 215-228, March.
    • Handle: RePEc:wsi:nmncxx:v:17:y:2021:i:01:n:s1793005721500113
    DOI: 10.1142/S1793005721500113
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