4.7 Article

Research on AHP with interval-valued intuitionistic fuzzy sets and its application in multi-criteria decision making problems

Journal

APPLIED MATHEMATICAL MODELLING
Volume 37, Issue 24, Pages 9898-9906

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2013.05.035

Keywords

Multi-criterion decision making; Interval-valued intuitionistic fuzzy sets; AHP

Funding

  1. National Natural Science Foundation of China (NSFC) [71101131]
  2. National Scholarship Fund of China Scholarship Council (CSC) [20115025]
  3. Humanities and Social Science Projects of Chinese Ministry of Education [10YJC630277]
  4. Zhejiang Provincial Natural Science Foundation of China [Y6110562]

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This paper investigates an approach for multi-criterion decision making (MCDM) problems with interval-valued intuitionistic fuzzy preference relations (IVIFPRs). Based on the novel interval score function, some extended concepts associated with IVIFPRs are defined, including the score matrix, the approximate optimal transfer matrix and the possibility degree matrix. By using these new matrixes, a prioritization method for IVIFPRs is proposed. Then, we investigate an interval-valued intuitionistic fuzzy AHP method for multi-criteria decision making (MCDM) problems. In the end, a numerical example is provided to illustrate the application of the proposed approach. (C) 2013 Elsevier Inc. All rights reserved.

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