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Open AccessArticle

A Dynamic Decision Making Method Based on GM(1,1) Model with Pythagorean Fuzzy Numbers for Selecting Waste Disposal Enterprises

by Peng Li 1, Ju Liu 1 and Cuiping Wei 2,*
1
College of Economics and Management, Jiangsu University of Science and Technology, Zhenjiang 212003, China
2
College of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China
*
Author to whom correspondence should be addressed.
Sustainability 2019, 11(20), 5557; https://doi.org/10.3390/su11205557
Received: 11 September 2019 / Revised: 30 September 2019 / Accepted: 3 October 2019 / Published: 9 October 2019
With the rapid development of society and the economy, most cities have to face a serious problem of “Garbage Siege”. The garbage classification is imperative because the traditional disposal method for household solid waste is not suitable for this situation. The Chinese government proposed a public private partnership (PPP) style to increase the efficiency of garbage disposal in 2013. An effective method to evaluate the waste disposal enterprises is essential to choose suitable ones. A reasonable evaluation method should consider enterprises’ performance not only now but also in the future. This paper aims to propose a dynamic decision making method to evaluate the enterprises’ performance based on a GM(1,1) model and regret theory with Pythagorean fuzzy numbers (PFNs). First, we proposed a GM(1,1) model for predicting score function of PFNs. Then, we put forward a method to obtain the prediction of grey degree using OWA operator. Based on the prediction of score function and grey degree, we established a novel GM(1,1) model of PFNs. Furthermore, we utilized the grey incidence method to obtain the criteria weights with Pythagorean fuzzy information. We used the regret theory to aggregate information and rank the alternatives. Finally, we applied our proposed method to solve the selecting waste disposal enterprises problem in Shanghai. By the case study we can obtain that our method is effective to solve this problem. View Full-Text
Keywords: decision making; dynamic; GM(1,1) model; Pythagorean fuzzy number; garbage classification decision making; dynamic; GM(1,1) model; Pythagorean fuzzy number; garbage classification
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Li, P.; Liu, J.; Wei, C. A Dynamic Decision Making Method Based on GM(1,1) Model with Pythagorean Fuzzy Numbers for Selecting Waste Disposal Enterprises. Sustainability 2019, 11, 5557.

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