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A Parametric Method for Ranking Intuitionistic Fuzzy Numbers and Its Application to Solve Intuitionistic Fuzzy Network Data Envelopment Analysis Models

Author

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  • B. Shakouri
  • R. Abbasi Shureshjani
  • B. Daneshian
  • F. Hosseinzadeh Lotfi

Abstract

In this study, a new parametric method is proposed to rank intuitionistic fuzzy numbers in a general form. One of the advantages of the proposed method is that the decision maker’s idea is taken into account by selecting appropriate amounts of decision level and hesitation degree parameters. In some illustrative examples, the superiority of the proposed method over some other approaches is demonstrated. Furthermore, to show the ability of the method to solve intuitionistic fuzzy optimization problems, the proposed method is applied to solve intuitionistic fuzzy network data envelopment analysis (IFNDEA) problems. Also, in three appropriate examples, the validity of the suggested method and its capacity to solve real-world problems are illustrated.

Suggested Citation

  • B. Shakouri & R. Abbasi Shureshjani & B. Daneshian & F. Hosseinzadeh Lotfi, 2020. "A Parametric Method for Ranking Intuitionistic Fuzzy Numbers and Its Application to Solve Intuitionistic Fuzzy Network Data Envelopment Analysis Models," Complexity, Hindawi, vol. 2020, pages 1-25, September.
    • Handle: RePEc:hin:complx:6408613
    DOI: 10.1155/2020/6408613
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    Cited by:

    1. Nafiseh Javaherian & Ali Hamzehee & Hossein Sayyadi Tooranloo, 2021. "A compositional approach to two-stage Data Envelopment Analysis in intuitionistic fuzzy environment," Operations Research and Decisions, Wroclaw University of Science Technology, Faculty of Management, vol. 31, pages 21-39.
    2. Kshitish Kumar Mohanta & Deena Sunil Sharanappa & Vishnu Narayan Mishra, 2023. "Neutrosophic data envelopment analysis based on the possibilistic mean approach," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(2), pages 81-98.
    3. Nafiseh Javaherian & Ali Hamzehee & Hossein Sayyadi Tooranloo, 2021. "A compositional approach to two-stage Data Envelopment Analysis in intuitionistic fuzzy environment," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 31(1), pages 21-39.

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