Fuzzy multiple criteria hierarchical group decision-making based on interval type-2 fuzzy sets

  • Authors:

  • Shyi-Ming Chen;Li-Wei Lee

  • Affiliations:

  • Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan;Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan

  • Venue:
  • IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans - Special issue on model-based diagnostics
  • Year:
  • 2010

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Abstract

In this paper, we present a new method for handling fuzzy multiple criteria hierarchical group decision-making problems based on arithmetic operations and fuzzy preference relations of interval type-2 fuzzy sets. Because the time complexity of the proposed method is O(nk), where n is the number of criteria and k is the number of decision-makers, it is more efficient than Wu and Mendel's method, whose time complexity is O(mnk) , where m is the number of α-cuts, n is the number of criteria and k is the number of decision-makers. Moreover, the proposed method can overcome another drawback of Wu and Mendel's method, i.e., it can handle evaluating values represented by nonnormal interval type-2 fuzzy sets. The proposed method provides us with a useful way to handle fuzzy multiple criteria hierarchical group decision-making problems.