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Bipolar Hypersoft Sets

Author

Listed:
  • Sagvan Y. Musa

    (Department of Mathematics, Faculty of Education, University of Zakho, Zakho 42002, Iraq)

  • Baravan A. Asaad

    (Department of Computer Science, College of Science, Cihan University-Duhok, Duhok 42001, Iraq
    Department of Mathematics, Faculty of Science, University of Zakho, Zakho 42002, Iraq)

Abstract

Hypersoft set theory is an extension of soft set theory and is a new mathematical tool for dealing with fuzzy problems; however, it still suffers from the parametric tools’ inadequacies. In order to boost decision-making accuracy even more, a new mixed mathematical model called the bipolar hypersoft set is created by merging hypersoft sets and bipolarity. It is characterized by two hypersoft sets, one of which provides positive information and the other provides negative information. Moreover, some fundamental properties relative to it such as subset, superset, equal set, complement, difference, relative (absolute) null set and relative (absolute) whole set are defined. Furthermore, some set-theoretic operations such as the extended intersection, the restricted union, intersection, union, AND-operation and OR-operation of two bipolar hypersoft sets with their properties are discussed and supported by examples. Finally, tabular representations for the purposes of storing bipolar hypersoft sets in computer memory are used.

Suggested Citation

  • Sagvan Y. Musa & Baravan A. Asaad, 2021. "Bipolar Hypersoft Sets," Mathematics, MDPI, vol. 9(15), pages 1-15, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:15:p:1826-:d:607174
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    References listed on IDEAS

    as
    1. Tahir Mahmood & Ali Jaballah, 2020. "A Novel Approach towards Bipolar Soft Sets and Their Applications," Journal of Mathematics, Hindawi, vol. 2020, pages 1-11, October.
    2. Tareq M. Al-shami & Ahmed Mostafa Khalil, 2021. "Bipolar Soft Sets: Relations between Them and Ordinary Points and Their Applications," Complexity, Hindawi, vol. 2021, pages 1-14, January.
    3. Muhammad Riaz & Florentin Smarandache & Atiqa Firdous & Atiqa Fakhar, 2019. "On Soft Rough Topology with Multi-Attribute Group Decision Making," Mathematics, MDPI, vol. 7(1), pages 1-18, January.
    4. Tareq M. Al-shami & Ljubiša D. R. Kočinac & Baravan A. Asaad, 2020. "Sum of Soft Topological Spaces," Mathematics, MDPI, vol. 8(6), pages 1-12, June.
    5. Jin-Ying Wang & Yan-Ping Wang & Lei Liu, 2020. "Hesitant Bipolar-Valued Fuzzy Soft Sets and Their Application in Decision Making," Complexity, Hindawi, vol. 2020, pages 1-12, August.
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