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Application of Single-Valued Neutrosophic Power Maclaurin Symmetric Mean Operators in MADM

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Soft Computing Applications (SOFA 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1222))

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Abstract

The power average (PA) operator, at first developed by Yager, which can diminish the pessimistic influence of uncomfortable measurement values on the final decision results. The Maclaurin symmetric mean (MSM), initially developed by Maclaurin, which can take the interrelationship between multi-input parameters. However, in real world the decision making problems (DMPs) are flattering progressively complex, and it is necessary to diminish the pessimistic influence of embarrassed assessment values and mull over the interrelationship between multi-opinions at a time. In this article, to handle such situation, we merge the PA operator with MSM and inflated them to grip single valued neutrosophic (SVN) information, and anticipated the perception of SVN power MSM (SVNPMSM) operator, the weighted SVNPMSM (WSVNPMSM) operator, the SVN dual power MSM (SVNDPMSM) operator and the weighted SVN dual power MSM (WSVNDPMSM) operators. Then, several basic qualities of the anticipated aggregation operators (AOs) are examined. Additionally, based on these anticipated AOs, we build up a new approach to multiple-attribute decision-making (MADM) under SVN environment. Finally, an example is illustrated to show the validity and practicality of the anticipated approach by differentiating with the other presented methods.

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Acknowledgement

This work was supported from the project GUSV, “Intelligent techniques for medical applications using sensor networks”, project no. 10BM/2018, financed by UEFISCDI, Romania under the PNIII framework.

Author information

Authors and Affiliations

  1. Department of Mathematics and Statistic, International Islamic University, Islamabad, 44000, Pakistan

    Qaisar Khan & Tahir Mahmood

  2. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, China

    Khizar Hayat

  3. Department of Computer Science and Technology, Guangzhou University, Guangzhou, 510006, China

    Muhammad Arif

  4. Aurel Vlaicu University of Arad, Arad, Romania

    Valentina Emilia Balas

  5. Faculty of Electrical Engineering and Computer Science, University of Suceava, Suceava, Romania

    Oana Geman

Authors
  1. Qaisar Khan
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  2. Tahir Mahmood
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  3. Khizar Hayat
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  4. Muhammad Arif
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  5. Valentina Emilia Balas
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  6. Oana Geman
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Corresponding authors

Correspondence to Tahir Mahmood or Muhammad Arif .

Editor information

Editors and Affiliations

  1. "Aurel Vlaicu" University of Arad, Faculty of Engineering, Arad, Romania

    Valentina Emilia Balas

  2. Faculty of Engineering and Information Technology, University of Technology Sydney, Centre for Artificial Intelligence, Sydney, Australia

    Lakhmi C. Jain

  3. Faculty of Engineering, “Aurel Vlaicu” University of Arad, Arad, Arad, Romania

    Marius Mircea Balas

  4. Department of Information Technology and Programming, Azerbaijan Technical University, Baku, Azerbaijan

    Shahnaz N. Shahbazova

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Khan, Q., Mahmood, T., Hayat, K., Arif, M., Balas, V.E., Geman, O. (2021). Application of Single-Valued Neutrosophic Power Maclaurin Symmetric Mean Operators in MADM. In: Balas, V., Jain, L., Balas, M., Shahbazova, S. (eds) Soft Computing Applications. SOFA 2018. Advances in Intelligent Systems and Computing, vol 1222. Springer, Cham. https://doi.org/10.1007/978-3-030-52190-5_24

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