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A multiple attribute interval type-2 fuzzy group decision making and its application to supplier selection with extended LINMAP method

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Abstract

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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Acknowledgments

The work was supported by the National Natural Science Foundation of China (NSFC) under Projects 71171048 and 71371049, Ph.D. Program Foundation of Chinese Ministry of Education 20120092110038, the Scientific Research and Innovation Project for College Graduates of Jiangsu Province CXZZ13_0138, and the Scholarship from China Scholarship Council (No: 2014060996).

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Authors and Affiliations

  1. School of Management, Wuhan University of Technology, 430070 , Wuhan, Hubei, China

    Jindong Qin

  2. School of Economics and Management, Southeast University, 211189, Nanjing, Jiangsu, China

    Xinwang Liu

  3. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, T6G 2G7, Canada

    Witold Pedrycz

  4. System Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Witold Pedrycz

  5. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Witold Pedrycz

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  1. Jindong Qin
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  2. Xinwang Liu
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  3. Witold Pedrycz
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Correspondence to Jindong Qin.

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Communicated by V. Loia.

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Qin, J., Liu, X. & Pedrycz, W. A multiple attribute interval type-2 fuzzy group decision making and its application to supplier selection with extended LINMAP method. Soft Comput 21, 3207–3226 (2017). https://doi.org/10.1007/s00500-015-2004-y

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