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Conceptual procedure for ranking fuzzy numbers based on adaptive two-dimensions dominance

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Abstract

Many methods for ranking of fuzzy numbers have been proposed. However, these methods just can apply to rank some types of fuzzy numbers (i.e. normal, non-normal, positive, and negative fuzzy numbers), and many ranking cases can just rank by their graphs intuitively. So, it is important to use proper methods in the right condition. In this paper, a conceptual procedure is proposed to describe how to use intuitive ranking and some technical ranking methods properly. We also introduce a new ranking fuzzy numbers approach that can adjust experts’ confidence and optimistic index of decision maker using two parameters (α and β) to handle the problems and find the best solutions. After illustrate many numerical examples following our conceptual procedure the ranking results are validity.

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Acknowledgements

The authors would like to thank the anonymous referees for providing very helpful comments and suggestions. Their insight and comments led to a better presentation of the ideas expressed in this paper.

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Authors and Affiliations

  1. Department of Information Management, National Yunlin University of Science and Technology, 123 University Road, Section 3, Touliu, Yunlin, 640, Taiwan

    Jing-Rong Chang, Ching-Hsue Cheng & Chen-Yi Kuo

  2. Graduate School of Management, National Yunlin University of Science and Technology, 123 University Road, Section 3, Touliu, Yunlin, 640, Taiwan

    Jing-Rong Chang & Jing-Rong Chang

Authors
  1. Jing-Rong Chang
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  2. Ching-Hsue Cheng
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  3. Chen-Yi Kuo
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Correspondence to Jing-Rong Chang.

Appendix

Appendix

1.1 Comparison examples

Table 3 Examples given by Bortolan and Degani (1985)
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Table 4 Examples given by Tseng and Klein (1989)
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Chang, JR., Cheng, CH. & Kuo, CY. Conceptual procedure for ranking fuzzy numbers based on adaptive two-dimensions dominance. Soft Comput 10, 94–103 (2006). https://doi.org/10.1007/s00500-004-0429-9

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