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A Novel Approach towards Bipolar Soft Sets and Their Applications

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  • Tahir Mahmood
  • Ali Jaballah

Abstract

The notion of bipolar soft sets has already been defined, but in this article, the notion of bipolar soft sets has been redefined, called T-bipolar soft sets. It is shown that the new approach is more close to the concept of bipolarity as compared to the previous ones, and further it is discussed that so far in the study of soft sets and their generalizations, the concept introduced in this manuscript has never been discussed earlier. We have also discussed the operational laws of T-bipolar soft sets and their basic properties. In the end, we have deliberated the algebraic structures associated with T-bipolar soft sets and the applications of T-bipolar soft sets in decision-making problems.

Suggested Citation

  • 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.
  • Handle: RePEc:hin:jjmath:4690808
    DOI: 10.1155/2020/4690808
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    Cited by:

    1. Majed Albaity & Tahir Mahmood, 2022. "Medical Diagnosis and Pattern Recognition Based on Generalized Dice Similarity Measures for Managing Intuitionistic Hesitant Fuzzy Information," Mathematics, MDPI, vol. 10(15), pages 1-15, August.
    2. Tahir Mahmood & Ubaid Ur Rehman & Abdul Jaleel & Jabbar Ahmmad & Ronnason Chinram, 2022. "Bipolar Complex Fuzzy Soft Sets and Their Applications in Decision-Making," Mathematics, MDPI, vol. 10(7), pages 1-19, March.
    3. Taiwo Olubunmi Sangodapo & Babatunde Oluwaseun Onasanya & Sarka Mayerova-Hoskova, 2021. "Decision-Making with Fuzzy Soft Matrix Using a Revised Method: A Case of Medical Diagnosis of Diseases," Mathematics, MDPI, vol. 9(18), pages 1-12, September.
    4. Majed Albaity & Tahir Mahmood & Zeeshan Ali, 2023. "Impact of Machine Learning and Artificial Intelligence in Business Based on Intuitionistic Fuzzy Soft WASPAS Method," Mathematics, MDPI, vol. 11(6), pages 1-21, March.
    5. Areeba Naseem & Kifayat Ullah & Maria Akram & Darko Božanić & Goran Ćirović, 2022. "Assessment of Smart Grid Systems for Electricity Using Power Maclaurin Symmetric Mean Operators Based on T-Spherical Fuzzy Information," Energies, MDPI, vol. 15(21), pages 1-25, October.
    6. Sagvan Y. Musa & Baravan A. Asaad, 2021. "Bipolar Hypersoft Sets," Mathematics, MDPI, vol. 9(15), pages 1-15, August.
    7. Mujab Waqar & Kifayat Ullah & Dragan Pamucar & Goran Jovanov & Ðordje Vranješ, 2022. "An Approach for the Analysis of Energy Resource Selection Based on Attributes by Using Dombi T-Norm Based Aggregation Operators," Energies, MDPI, vol. 15(11), pages 1-23, May.
    8. Zeeshan Ali & Tahir Mahmood & Gustavo Santos-García, 2021. "Heronian Mean Operators Based on Novel Complex Linear Diophantine Uncertain Linguistic Variables and Their Applications in Multi-Attribute Decision Making," Mathematics, MDPI, vol. 9(21), pages 1-37, October.
    9. Zeeshan Ali & Tahir Mahmood & Muhammad Aslam & Ronnason Chinram, 2021. "Another View of Complex Intuitionistic Fuzzy Soft Sets Based on Prioritized Aggregation Operators and Their Applications to Multiattribute Decision Making," Mathematics, MDPI, vol. 9(16), pages 1-29, August.
    10. Shuker Khalil & Ahmed Hassan & Haya Alaskar & Wasiq Khan & Abir Hussain, 2021. "Fuzzy Logical Algebra and Study of the Effectiveness of Medications for COVID-19," Mathematics, MDPI, vol. 9(22), pages 1-12, November.
    11. Tahir Mahmood & Ubaid ur Rehman & Zeeshan Ali & Muhammad Aslam & Ronnason Chinram, 2022. "Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support Systems," Mathematics, MDPI, vol. 10(10), pages 1-19, May.
    12. Wei Liu & Youfa Sun & Serhat Yüksel & Hasan Dinçer, 2021. "Consensus-based multidimensional due diligence of fintech-enhanced green energy investment projects," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 7(1), pages 1-31, December.

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