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A Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Partitioned Heronian Mean Operator

Author

Listed:
  • Chao Tian

    (School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China)

  • Juan Juan Peng

    (School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China)

  • Zhi Qiang Zhang

    (School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China)

  • Mark Goh

    (NUS School of Business, National University of Singapore, Singapore 117592, Singapore)

  • Jian Qiang Wang

    (School of Business, Central South University, Changsha 410083, China)

Abstract

A multi-criteria decision-making (MCDM) method with single-valued neutrosophic information is developed based on the Partitioned Heronian Mean (PHM) operator and the Shapley fuzzy measure, which recognizes correlation among the selection criteria. Motivated by the PHM operator and Shapley fuzzy measure, two new aggregation operators, namely the single-valued neutrosophic PHM operator and the weighted single-valued neutrosophic Shapley PHM operator, are defined, and their corresponding properties and some special cases are investigated. An MCDM model is applied to solve the single-valued neutrosophic problem where weight information is not completely known. An example is provided to validate the proposed method.

Suggested Citation

  • Chao Tian & Juan Juan Peng & Zhi Qiang Zhang & Mark Goh & Jian Qiang Wang, 2020. "A Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Partitioned Heronian Mean Operator," Mathematics, MDPI, vol. 8(7), pages 1-25, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1189-:d:386916
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    References listed on IDEAS

    as
    1. Juan-juan Peng & Jian-qiang Wang & Jing Wang & Hong-yu Zhang & Xiao-hong Chen, 2016. "Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2342-2358, July.
    2. Meiling Liu & Shouzhen Zeng & Tomas Baležentis & Dalia Streimikiene, 2019. "Picture Fuzzy Weighted Distance Measures and their Application to Investment Selection," The AMFITEATRU ECONOMIC journal, Academy of Economic Studies - Bucharest, Romania, vol. 21(52), pages 682-682, August.
    3. Hong-gang Peng & Jian-qiang Wang, 2020. "Multi-criteria sorting decision making based on dominance and opposition relations with probabilistic linguistic information," Fuzzy Optimization and Decision Making, Springer, vol. 19(4), pages 435-470, December.
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