Journal
SOFT COMPUTING
Volume 21, Issue 12, Pages 3207-3226Publisher
SPRINGER
DOI: 10.1007/s00500-015-2004-y
Keywords
Supplier selection; Linear programming techniques for multidimensional analysis of preference (LINMAP) method; Interval type-2 fuzzy sets (IT2FSs); Multiple attribute group decision making (MAGDM)
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Funding
- National Natural Science Foundation of China (NSFC) [71171048, 71371049]
- Ph.D. Program Foundation of Chinese Ministry of Education [20120092110038]
- Scientific Research and Innovation Project for College Graduates of Jiangsu Province [CXZZ13_0138]
- China Scholarship Council [2014060996]
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Supplier selection is a key issue in supply chain management, which directly impacts the manufacturer's performance. The problem can be viewed as a multiple attribute group decision making (MAGDM) that concerns many conflicting evaluation attributes, both being of qualitative and quantitative nature. Due to the increasing complexity and uncertainty of socio-economic environment, some evaluations of attributes are not adequately represented by numerical assessments and type-1 fuzzy sets. In this paper, we develop some linear programming models with the aid of multidimensional analysis of preference (LINMAP) method to solve interval type-2 fuzzy MAGDM problems, in which the information about attribute weights is incompletely known, and all pairwise comparison judgments over alternatives are represented by IT2FSs. First, we introduce a new distance measure based on the centroid interval between the IT2FSs. Then, we construct the linear programming model to determine the interval type-2 fuzzy positive ideal solution (IT2PIS) and corresponding attributes weight vector. Based on it, an extended LINMAP method to solve MAGDM problem under IT2FSs environment is developed. Finally, a supplier selection example is provided to demonstrate the usefulness of the proposed method.
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