Journal
APPLIED MATHEMATICAL MODELLING
Volume 36, Issue 6, Pages 2498-2509Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2011.09.006
Keywords
Generalized interval-valued trapezoidal fuzzy number; Geometric aggregation operator; Multiple attribute group decision making
Funding
- Humanities and Social Sciences Foundation of Ministry of Education of China [10YJA630073, 09YJA630088]
- Natural Science Foundation of Shandong Province [ZR2011FM036]
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With respect to the multiple attribute group decision making problems in which the attribute values take the form of generalized interval-valued trapezoidal fuzzy numbers (GITFN), this paper proposed a decision making method based on weighted geometric aggregation operators. First, some operational rules, the distance and comparison between two GITFNs are introduced. Second, the generalized interval-valued trapezoidal fuzzy numbers weighted geometric aggregation (GITFNWGA) operator, the generalized interval-valued trapezoidal fuzzy numbers ordered weighted geometric aggregation (GITFNOWGA) operator, and the generalized interval-valued trapezoidal fuzzy numbers hybrid geometric aggregation (GITFNHGA) operator are proposed, and their various properties are investigated. At the same time, the group decision methods based on these operators are also presented. Finally, an illustrate example is given to show the decision-making steps and the effectiveness of this method. (C) 2011 Elsevier Inc. All rights reserved.
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