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Signed Distanced-Based Topsis Method For Multiple Criteria Decision Analysis Based On Generalized Interval-Valued Fuzzy Numbers

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  • TING-YU CHEN

    (Department of Industrial and Business Management, Chang Gung University, 259, Wen-Hwa 1st Road, Kwei-Shan, Taoyuan 333, Taiwan)

Abstract

The theory of interval valued fuzzy sets is very valuable for modeling impressions of decision makers. In addition, it gives ability to quantify the ambiguous nature of subjective judgments in an easy way. In this paper, by extending the technique for order preference by similarity to ideal solution (TOPSIS), it is proposed a useful method based on generalized interval valued trapezoidal fuzzy numbers (GITrFNs) for solving multiple criteria decision analysis (MCDA) problems. In view of complexity in handling sophisticated data of GITrFNs, this paper employs the concept of signed distances to establish a simple and effective MCDA method based on the main structure of TOPSIS. An algorithm based on TOPSIS method is established to determine the priority order of given alternatives by using properties of signed distances. Finally, the feasibility of the proposed method is illustrated by a practical example of supplier selection.

Suggested Citation

  • Ting-Yu Chen, 2011. "Signed Distanced-Based Topsis Method For Multiple Criteria Decision Analysis Based On Generalized Interval-Valued Fuzzy Numbers," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 10(06), pages 1131-1159.
    • Handle: RePEc:wsi:ijitdm:v:10:y:2011:i:06:n:s0219622011004749
    DOI: 10.1142/S0219622011004749
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    Citations

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    Cited by:

    1. Chen, Ting-Yu & Chang, Chien-Hung & Rachel Lu, Jui-fen, 2013. "The extended QUALIFLEX method for multiple criteria decision analysis based on interval type-2 fuzzy sets and applications to medical decision making," European Journal of Operational Research, Elsevier, vol. 226(3), pages 615-625.
    2. Juan-Juan Peng & Jian-Qiang Wang & Xiao-Hui Wu, 2016. "Novel Multi-criteria Decision-making Approaches Based on Hesitant Fuzzy Sets and Prospect Theory," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 621-643, May.
    3. Deng-Feng Li & Shu-Ping Wan, 2017. "Minimum Weighted Minkowski Distance Power Models for Intuitionistic Fuzzy Madm with Incomplete Weight Information," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(05), pages 1387-1408, September.
    4. Edmundas Kazimieras Zavadskas & Abbas Mardani & Zenonas Turskis & Ahmad Jusoh & Khalil MD Nor, 2016. "Development of TOPSIS Method to Solve Complicated Decision-Making Problems — An Overview on Developments from 2000 to 2015," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 645-682, May.
    5. Touqeer, Muhammad & Shaheen, Sadaf & Jabeen, Tahira & Sulaie, Saleh Al & Baleanu, Dumitru & Ahmadian, Ali, 2022. "A signed distance based ranking approach with unknown fuzzy priority vectors for medical diagnosis involving interval type-2 trapezoidal pythagorean fuzzy preference relations," Operations Research Perspectives, Elsevier, vol. 9(C).

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