Journal
EXPERT SYSTEMS WITH APPLICATIONS
Volume 37, Issue 1, Pages 824-833Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.eswa.2009.06.094
Keywords
Arithmetic operations; Fuzzy multiple attributes group decision-making; Interval type-2 fuzzy sets; Ranking values
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Funding
- National Science Council, Republic of China [NSC 95-2221-E-011-116-MY2]
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In this paper, we present a new method to handle fuzzy multiple attributes group decision-making problems based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets. First, we present the arithmetic operations between interval type-2 fuzzy sets. Then, we present a fuzzy ranking method to calculate the ranking values of interval type-2 fuzzy sets. We also make a comparison of the ranking values of the proposed method with the existing methods. Based on the proposed fuzzy ranking method and the proposed arithmetic operations between interval type-2 fuzzy sets, we present a new method to handle fuzzy multiple attributes group decision-making problems. The proposed method provides us with a useful way to handle fuzzy multiple attributes group decision-making problems in a more flexible and more intelligent manner due to the fact that it uses interval type-2 fuzzy sets rather than traditional type-1 fuzzy sets to represent the evaluating values and the weights of attributes. (C) 2009 Elsevier Ltd. All rights reserved.
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