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A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator

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  • Chao Tian

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

  • Juan Juan Peng

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

Abstract

The aggregation operator is one of the most common techniques to solve multi-criteria decision-making (MCDM) problems. The aim of this paper is to propose an MCDM method based on the improved single-valued neutrosophic weighted geometric (ISVNWG) operator. First, the defects of several existing single-valued neutrosophic weighted geometric aggregation operators in terms of producing uncertain results in some special cases are analyzed. Second, an ISVNWG operator is proposed to avoid the defects of existing operators. Further, the properties of the proposed ISVNWG operator, including idempotency, boundedness, monotonicity, and commutativity, are discussed. Finally, a single-valued neutrosophic MCDM method based on the developed ISVNWG operator is proposed to overcome the defects of existing MCDM methods based on existing operators. Application examples demonstrate that our proposed operator and corresponding MCDM method are effective and rational for avoiding uncertain results in some special cases.

Suggested Citation

  • Chao Tian & Juan Juan Peng, 2020. "A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator," Mathematics, MDPI, vol. 8(7), pages 1-17, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1051-:d:378243
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    References listed on IDEAS

    as
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    2. 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.
    3. Chao Tian & Wen Yu Zhang & Shuai Zhang & Juan Juan Peng, 2019. "An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method," Mathematics, MDPI, vol. 7(1), pages 1-16, January.
    4. Chia-Nan Wang & Van Thanh Nguyen & Jiin-Tian Chyou & Tsung-Fu Lin & Tran Ngoc Nguyen, 2019. "Fuzzy Multicriteria Decision-Making Model (MCDM) for Raw Materials Supplier Selection in Plastics Industry," Mathematics, MDPI, vol. 7(10), pages 1-17, October.
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