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MOORA under Pythagorean Fuzzy Set for Multiple Criteria Decision Making

Author

Listed:
  • Luis Pérez-Domínguez
  • Luis Alberto Rodríguez-Picón
  • Alejandro Alvarado-Iniesta
  • David Luviano Cruz
  • Zeshui Xu

Abstract

The multiobjective optimization on the basis of ratio analysis (MOORA) method captures diverse features such as the criteria and alternatives of appraising a multiple criteria decision-making (MCDM) problem. At the same time, the multiple criteria problem includes a set of decision makers with diverse expertise and preferences. In fact, the literature lists numerous approaches to aid in this problematic task of choosing the best alternative. Nevertheless, in the MCDM field, there is a challenge regarding intangible information which is commonly involved in multiple criteria decision-making problem; hence, it is substantial in order to advance beyond the research related to this field. Thus, the objective of this paper is to present a fused method between multiobjective optimization on the basis of ratio analysis and Pythagorean fuzzy sets for the choice of an alternative. Besides, multiobjective optimization on the basis of ratio analysis is utilized to choose the best alternatives. Finally, two decision-making problems are applied to illustrate the feasibility and practicality of the proposed method.

Suggested Citation

  • Luis Pérez-Domínguez & Luis Alberto Rodríguez-Picón & Alejandro Alvarado-Iniesta & David Luviano Cruz & Zeshui Xu, 2018. "MOORA under Pythagorean Fuzzy Set for Multiple Criteria Decision Making," Complexity, Hindawi, vol. 2018, pages 1-10, April.
  • Handle: RePEc:hin:complx:2602376
    DOI: 10.1155/2018/2602376
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    References listed on IDEAS

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    1. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    2. Wang, Endong & Alp, Neslihan & Shi, Jonathan & Wang, Chao & Zhang, Xiaodong & Chen, Hong, 2017. "Multi-criteria building energy performance benchmarking through variable clustering based compromise TOPSIS with objective entropy weighting," Energy, Elsevier, vol. 125(C), pages 197-210.
    3. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
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    Cited by:

    1. Tingting He & Guiwu Wei & Jianping Lu & Cun Wei & Rui Lin, 2019. "Pythagorean 2-Tuple Linguistic Taxonomy Method for Supplier Selection in Medical Instrument Industries," IJERPH, MDPI, vol. 16(23), pages 1-14, December.
    2. Luis Pérez-Dominguez & Sara-Nohemí Almeraz Durán & Roberto Romero López & Iván Juan Carlos Pérez-Olguin & David Luviano-Cruz & Jesús Andrés Hernández Gómez, 2021. "Assessment Urban Transport Service and Pythagorean Fuzzy Sets CODAS Method: A Case of Study of Ciudad Juárez," Sustainability, MDPI, vol. 13(3), pages 1-18, January.
    3. Haiyun, Cui & Zhixiong, Huang & Yüksel, Serhat & Dinçer, Hasan, 2021. "Analysis of the innovation strategies for green supply chain management in the energy industry using the QFD-based hybrid interval valued intuitionistic fuzzy decision approach," Renewable and Sustainable Energy Reviews, Elsevier, vol. 143(C).
    4. Tingting He & Guiwu Wei & Jianping Lu & Cun Wei & Rui Lin, 2019. "Pythagorean 2-Tuple Linguistic VIKOR Method for Evaluating Human Factors in Construction Project Management," Mathematics, MDPI, vol. 7(12), pages 1-13, November.
    5. Ali Saeed Almuflih & Janpriy Sharma & Mohit Tyagi & Arvind Bhardwaj & Mohamed Rafik Noor Mohamed Qureshi & Nawaf Khan, 2022. "Leveraging the Dynamics of Food Supply Chains towards Avenues of Sustainability," Sustainability, MDPI, vol. 14(12), pages 1-15, June.
    6. Miin-Shen Yang & Zahid Hussain, 2018. "Fuzzy Entropy for Pythagorean Fuzzy Sets with Application to Multicriterion Decision Making," Complexity, Hindawi, vol. 2018, pages 1-14, November.

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