Journal
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS
Volume 40, Issue 5, Pages 1120-1128Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMCA.2010.2044039
Keywords
Fuzzy multiple criteria hierarchical group decision-making; fuzzy preference relations; interval type-2 fuzzy sets; ranking values
Funding
- National Science Council, Taiwan [NSC 97-2221-E-011-118]
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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 alpha-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.
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