Multiattribute decision making based on interval-valued intuitionistic fuzzy values

  • Authors:

  • Shyi-Ming Chen;Li-Wei Lee;Hsiang-Chuan Liu;Szu-Wei Yang

  • Affiliations:

  • Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan, ROC and Graduate Institute of Educational Measurement and Statisti ...;Department of Computer and Communication Engineering, De Lin Institute of Technology, New Taipei City, Taiwan, ROC;Department of Biomedical Informatics, Asia University, Taichung, Taiwan, ROC;Department of Education, National Taichung University of Education, Taichung, Taiwan, ROC

  • Venue:
  • Expert Systems with Applications: An International Journal
  • Year:
  • 2012

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Abstract

In this paper, we present a new multiattribute decision making method based on the proposed interval-valued intuitionistic fuzzy weighted average operator and the proposed fuzzy ranking method for intuitionistic fuzzy values. First, we briefly review the concepts of interval-valued intuitionistic fuzzy sets and the Karnik-Mendel algorithms. Then, we propose the intuitionistic fuzzy weighted average operator and interval-valued intuitionistic fuzzy weighted average operator, based on the traditional weighted average method and the Karnik-Mendel algorithms. Then, we propose a fuzzy ranking method for intuitionistic fuzzy values based on likelihood-based comparison relations between intervals. Finally, we present a new multiattribute decision making method based on the proposed interval-valued intuitionistic fuzzy weighted average operator and the proposed fuzzy ranking method for intuitionistic fuzzy values. The proposed method provides us with a useful way for multiattribute decision making based on interval-valued intuitionistic fuzzy values.