Aiming at the mixed multiattribute group decision-making problem of interval Pythagorean fuzzy numbers, a weighted average (WA) operator model based on interval Pythagorean fuzzy sets is constructed. Furthermore, a decision-making method based on the technique for order preference by similarity to ideal solution (TOPSIS) method with interval Pythagorean fuzzy numbers is proposed. First, based on the completely unknown weights of decision-makers and attributes, interval Pythagorean fuzzy numbers are applied to TOPSIS group decision-making. Second, the interval Pythagorean fuzzy number WA operator is used to synthesize the evaluation matrices of multiple decision-makers into a comprehensive evaluation matrix, and the relative closeness of each scheme is calculated based on the TOPSIS decision-making method. Finally, an example is given to illustrate the rationality and effectiveness of the proposed method.
This paper proposes the traffic congestion delay cost elasticity concept based on the elastic theory, and analyzes the relationship between traffic congestion delay cost and other influence factors, these factors are: city scale, urban facilities, urban public transport, urban automobile volume, urban road accidents, urban exhaust and urban transportation energy consumption. In this paper, according to the data about Beijing, Shanghai and Guangzhou from 2016 to 2017, the quantitatively study of the elasticity of traffic congestion delay cost was conducted, and the relevant comparison and analysis are made. After that, we put forward countermeasures and suggestions to alleviate urban traffic congestion.
For the multiattribute group decision-making problem in an interval Pythagorean fuzzy environment, the existing experts and scholars have extended the weighted average (WA), ordered weighted average (OWA), generalized ordered weighted average (GOWA), weighted ordered weighted average (WOWA), and other operators to interval fuzzy environment, while the research on the application and promotion of interval Pythagorean fuzzy with generalized weighted ordered weighted average (GWOWA) operator has not been carried out, GWOWA operator not only retains the advantages of WOWA operator but also introduces artificial variables, which increases the ability of decision-makers to control the aggregation of fuzzy information. Therefore, the GWOWA operator model based on interval Pythagorean fuzzy sets is constructed. First, it is proved that interval Pythagorean fuzzy generalized weighted average operator (IVPFGWA) and interval Pythagorean fuzzy generalized ordered weighted average operator (IVPFGOWA) are special cases of IVPFGWOWA operator, and their idempotence, monotonicity, and boundedness are proved; second, a group decision-making method based on interval Pythagorean fuzzy GWOWA operator is presented. Finally, an example is given to illustrate the effectiveness and scientificity of this method. It is found that the interval Pythagorean fuzzy decision-making method of the GWOWA operator alleviates the loss of information in the decision-making process to a great extent. At the same time, with the increase in the value of artificial variables, the gap between the best scheme and other schemes continues to increase, making the decision-making results more obvious, scientific, and accurate.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.