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Extended Pythagorean Fuzzy TOPSIS Method Based on Similarity Measure for Sustainable Recycling Partner Selection

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Abstract

Recently, the organizations have concentrated on sustainability development and introduced several strategies for sustainability due to government policies, society concern, environmental impacts and needs of economy. Uncertainty commonly occurred in the sustainability development. Pythagorean fuzzy sets (PFSs), an extension of IFSs, have been demonstrated as an extremely valuable tool to tackle the uncertainty and ambiguity arisen in many practical situations. Thus, the proposed study focuses under Pythagorean fuzzy environment. In the present study, an approach is developed on the basis of Pythagorean fuzzy sets and Technique for Order Preference by means of Similarity to Ideal Solution method for the purpose of solving sustainable recycling partner selection problems with completely unknown decision experts and criteria weights. To calculate criteria weights, new similarity measure based on trigonometric function for PFSs is developed. Aiming at showing the way our approach can be effectively used to evaluate the realistic multi-criteria decision making problems, we carry out a case study of sustainable recycling partner selection problem. In addition, the results obtained from the proposed method are compared to those of some presently existing methods to validate the proposed method. The analytical results confirm the proficiency and reasonableness of the proposed method.

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Acknowledgements

The work was supported by the National Natural Science Foundation of China (No. 71771156), the 2019 Sichuan Planning Project of Social Science (No. SC18A007) and the 2019 Soft Science Project of Sichuan Science and Technology Department (No. 2019JDR0141).

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Authors and Affiliations

  1. Marwadi University, Rajkot, Gujarat, 360003, India

    Pratibha Rani

  2. Department of Mathematics, Govt. College Jaitwara, Satna, M P, 485221, India

    Arunodaya Raj Mishra

  3. Department of Industrial Engineering, Shiraz Branch, Islamic Azad University, Shiraz, Iran

    Ghasem Rezaei

  4. Business School, Sichuan University, Chengdu, Sichuan, 610064, China

    Huchang Liao

  5. Azman Hashim International Business School, Universiti Teknologi Malaysia (UTM), 81310, Johor Bahru, Johor, Malaysia

    Abbas Mardani

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  1. Pratibha Rani
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  2. Arunodaya Raj Mishra
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  3. Ghasem Rezaei
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  4. Huchang Liao
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  5. Abbas Mardani
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Correspondence to Huchang Liao.

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Rani, P., Mishra, A.R., Rezaei, G. et al. Extended Pythagorean Fuzzy TOPSIS Method Based on Similarity Measure for Sustainable Recycling Partner Selection. Int. J. Fuzzy Syst. 22, 735–747 (2020). https://doi.org/10.1007/s40815-019-00689-9

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