4.7 Article

Interval-valued intuitionistic fuzzy multiple attribute decision making based on nonlinear programming methodology and TOPSIS method

Journal

INFORMATION SCIENCES
Volume 506, Issue -, Pages 424-442

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2019.08.027

Keywords

IVIFSs; IVIFVs; MADM; Nonlinear programming methodology; TOPSIS method

Funding

  1. Major Humanities and Social Sciences Research Projects in Zhejiang Universities [2018QN058]
  2. China Postdoctoral Science Foundation [2018QN058]
  3. K. C. Wong Magna Fund in Ningbo University, China
  4. Ministry of Science and Technology, Republic of China [MOST 107-2221-E-011-122-MY2]

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In this paper, we propose a new multiple attribute decision making (MADM) method based on the nonlinear programming (NLP) methodology, the TOPSIS method and interval-valued intuitionistic fuzzy values (IVIFVs). The evaluating values of the alternatives with respect to attributes and the attributes' weights are represented by IVIFVs. The NLP methodology is applied to get the optimal attributes' weights. The proposed MADM method can overcome the drawbacks of the existing MADM methods to deal with MADM problems using IVIFVs. (C) 2019 Elsevier Inc. All rights reserved.

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