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An Extended TOPSIS Method with Unknown Weight Information in Dynamic Neutrosophic Environment

Author

Listed:
  • Nguyen Tho Thong

    (VNU Information Technology Institute, Vietnam National University, Hanoi 010000, Vietnam
    VNU University of Engineering and Technology, Vietnam National University, Hanoi 010000, Vietnam)

  • Luong Thi Hong Lan

    (Faculty of Computer Science and Engineering, Thuyloi University, 175 Tay Son, Dong Da, Hanoi 010000, Vietnam
    Institute of Information Technology, Vietnam Academy of Science and Technology, Hanoi 010000, Vietnam)

  • Shuo-Yan Chou

    (Department of Industrial Management, National Taiwan University of Science and Technology, No 43 Section 4; Keelung Rd., Taipei 10607, Taiwan
    Center for Cyber-Physical System Innovation, National Taiwan University of Science and Technology, Taipei 10607, Taiwan)

  • Le Hoang Son

    (VNU Information Technology Institute, Vietnam National University, Hanoi 010000, Vietnam)

  • Do Duc Dong

    (VNU University of Engineering and Technology, Vietnam National University, Hanoi 010000, Vietnam)

  • Tran Thi Ngan

    (Faculty of Computer Science and Engineering, Thuyloi University, 175 Tay Son, Dong Da, Hanoi 010000, Vietnam)

Abstract

Decision-making activities are prevalent in human life. Many methods have been developed to address real-world decision problems. In some practical situations, decision-makers prefer to provide their evaluations over a set of criteria and weights. However, in many real-world situations, problems include a lack of weight information for the times, criteria, and decision-makers (DMs). To remedy such discrepancies, an optimization model has been proposed to determine the weights of attributes, times, and DMs. A new concept related to the correlation measure and some distance measures for the dynamic interval-valued neutrosophic set (DIVNS) are defined in this paper. An extend Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) method in the interval-valued neutrosophic set with unknown weight information in dynamic neutrosophic environments is developed. Finally, a practical example is discussed to illustrate the feasibility and effectiveness of the proposed method.

Suggested Citation

  • Nguyen Tho Thong & Luong Thi Hong Lan & Shuo-Yan Chou & Le Hoang Son & Do Duc Dong & Tran Thi Ngan, 2020. "An Extended TOPSIS Method with Unknown Weight Information in Dynamic Neutrosophic Environment," Mathematics, MDPI, vol. 8(3), pages 1-15, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:401-:d:331139
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    References listed on IDEAS

    as
    1. Zhuosheng Jia & Yingjun Zhang, 2019. "Interval-Valued Intuitionistic Fuzzy Multiple Attribute Group Decision Making with Uncertain Weights," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-9, March.
    2. 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.
    Full references (including those not matched with items on IDEAS)

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