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Three-Way Decisions with Single-Valued Neutrosophic Uncertain Linguistic Decision-Theoretic Rough Sets Based on Generalized Maclaurin Symmetric Mean Operators

In: Neutrosophic Operational Research

Author

Listed:
  • Zeeshan Ali

    (International Islamic University)

  • Tahir Mahmood

    (International Islamic University)

  • Florentin Smarandache

    (University of New Mexico)

Abstract

Single-valued neutrosophic uncertain linguistic variable (S-VNULV) is a mixture of two different notions like single-valued neutrosophic set (S-VNS) and uncertain linguistic variable (ULV) to cope with complicated and awkward information in realistic decision problems. The aims of this manuscript are to explore three-way decision (T-WD) based on decision-theoretic rough set (D-TRS) for S-VNULV, and their some operational laws are also presented. Further, based on the S-VNULV, the generalized Maclaurin symmetric mean (MSM) operators are called single-valued neutrosophic uncertain linguistic generalized MSM (S-VNULGMSM) operator and single-valued neutrosophic uncertain linguistic weighted generalized MSM (S-VNULWGMSM) operator, and their special cases are also discussed. Based on the explored operator and D-TRS, we explored an algorithm to evaluate the numerical example for finding the reliability and effectiveness of the presented approaches.

Suggested Citation

  • Zeeshan Ali & Tahir Mahmood & Florentin Smarandache, 2021. "Three-Way Decisions with Single-Valued Neutrosophic Uncertain Linguistic Decision-Theoretic Rough Sets Based on Generalized Maclaurin Symmetric Mean Operators," Springer Books, in: Florentin Smarandache & Mohamed Abdel-Basset (ed.), Neutrosophic Operational Research, pages 71-101, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-57197-9_5
    DOI: 10.1007/978-3-030-57197-9_5
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    Cited by:

    1. Wajid Ali & Tanzeela Shaheen & Hamza Ghazanfar Toor & Faraz Akram & Md. Zia Uddin & Mohammad Mehedi Hassan, 2023. "An Innovative Decision Model Utilizing Intuitionistic Hesitant Fuzzy Aczel-Alsina Aggregation Operators and Its Application," Mathematics, MDPI, vol. 11(12), pages 1-22, June.

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