fuzzy evaluation model
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2021 ◽  
Vol 2095 (1) ◽  
pp. 012024
Author(s):  
Yawei Xue ◽  
Dong Peng ◽  
Xueying Wang ◽  
Tianqi Zhang ◽  
Hongyang Liu

Abstract With the increase of clean-green energy connected to the power system, the development of power system becomes increasingly complicated. There are many internal and external factors that affect the planning and development of power system. Thus, it is important to evaluate and analysis the development state of the power system. This paper proposed an improved fuzzy evaluation model for power system development diagnosis which can determine the development stages and situation of the power system.


Mathematics ◽  
2021 ◽  
Vol 9 (21) ◽  
pp. 2761
Author(s):  
Tian Chen ◽  
Chun-Ming Yang ◽  
Kuen-Suan Chen ◽  
Ting-Hsin Hsu

As the environment of the Internet of Things (IoT) gradually becomes common and mature, various smart application (APP) platforms have sprung up, making what we are doing more convenient, more economical and more efficient. Then, this paper used a bank APP as the research background to discuss issues related to smart APPs. Obviously, through the bank APPs, customers can complete their transfer and payment for various expenses at home, eliminating the inconvenience of going out, which not only can alleviate traffic congestion as well as reduce carbon emissions but also can save the manpower expenditure costs for banks. Consequently, improving APP performance and increasing the number of users of an APP is a very important issue. Therefore, this paper proposed an APP performance index to evaluate the performance of a bank APP. This APP performance index is to evaluate the performance of the APP through the time interval of customers’ access to the APP. The shorter the time interval is, the greater the number of users within a unit time is. In addition, based on cost considerations and effectiveness, the sample size n is usually not too large in practice, in order to make decisions quickly and accurately in a short time. Since the fuzzy testing model based on the confidence interval can be integrated with the past accumulated experience of data experts, the testing accuracy can be leveled up under the condition of small-sized samples. Accordingly, a fuzzy evaluation model was proposed to evaluate whether the performance of the bank APP can reach the required level, and this model was also regarded as a basis for decision-making to determine whether to improve the bank APP. At the same time, we can grasp the opportunities for improvement, achieve the effect of cost reduction, energy saving and carbon reduction, and further move towards the goal of innovative and intelligent management.


Water ◽  
2021 ◽  
Vol 13 (20) ◽  
pp. 2804
Author(s):  
Yinxin Ge ◽  
Jin Wu ◽  
Dasheng Zhang ◽  
Ruitao Jia ◽  
Haotian Yang

The scientific and accurate evaluation of water resources carrying capacity has good social, environmental and resource benefits. Reasonable selection of evaluation parameters is the key step to realize efficient and sustainable development of water resources. Taking Zanhuang County in the North China Plain as the research area, this study selected fuzzy comprehensive evaluation models with different weights in the established evaluation index framework to explore the sources of uncertainty affecting the evaluation results of water resources carrying capacity. By using the sensitivity analysis method of index weight, the index with the biggest influence factor on the evaluation result is selected to reduce the uncertainty problems such as index redundancy and small correlation degree. The results show that the correlation and reliable of comprehensive evaluation value obtained by different weight methods is different. The evaluation result obtained by using the analytic hierarchy process is more relevant than the entropy weight method, and it is more consistent with the actual load-bearing situation. The study of sensitivity index shows that water area index is the biggest factor affecting the change of evaluation results, and water resources subsystem and socio-economic subsystem play a dominant role in the whole evaluation framework. The results show that strengthening the data quality control of index assignment and weight method is helpful to reduce the error of water resources carrying capacity evaluation. It can also provide scientific basis for the improvement of fuzzy evaluation model.


Mathematics ◽  
2021 ◽  
Vol 9 (19) ◽  
pp. 2513
Author(s):  
Kuen-Suan Chen ◽  
Tsun-Hung Huang

Numerous key components of tool machines possess critical smaller-the-better-type quality characteristics. Under the assumption of normality, a one-to-one mathematical relationship exists between the process quality index and the process yield. Therefore, this paper utilized the index to produce a quality fuzzy evaluation model aimed at the small-the-better-type quality characteristics and adopted the model as a decision-making basis for improvement. First, we derived the 100(1 −α)% confidence region of the process mean and process standard deviation. Next, we obtained the 100(1 −α)% confidence interval of the quality index using the mathematical programming method. Furthermore, a one-tailed fuzzy testing method based on this confidence interval was proposed, aiming to assess the process quality. In addition, enterprises’ pursuit of rapid response often results in small sample sizes. Since the evaluation model is built on the basis of the confidence interval, not only can it diminish the risk of wrong judgment due to sampling errors, but it also can enhance the accuracy of evaluations for small sample sizes.


Author(s):  
Yuqing Zhang

The evaluation of online English teaching effect involves multiple fuzzy factors. This paper attempts to develop a model that fully considers these factors in evaluating the effect of online English teaching. Firstly, the constraints and weaknesses of online English teaching were enumerated, revealing the key points of improving online English teaching effect. On this basis, several evaluation index systems (EIS) were established for this effect from the perspectives of teachers, students, and administrators. Moreover, an improved multi-attribute fuzzy evaluation model was created for online English teaching effect based on fuzzy mathematics. The proposed model can effectively quantify the effect of online English teaching, and enjoy a good prospect in engineering application.


Mathematics ◽  
2021 ◽  
Vol 9 (10) ◽  
pp. 1076
Author(s):  
Wei Lo ◽  
Chun-Ming Yang ◽  
Kuei-Kuei Lai ◽  
Shao-Yu Li ◽  
Chi-Han Chen

When all of the one-sided specification indices of each quality characteristic reach the requirements of the process quality level, they can ensure that the process capability of the product meets the requirements of the process quality level. This study constructs a fuzzy membership function based on the upper confidence limit of the index, derives the fuzzy critical value, and then labels the fuzzy critical value on the axis of the visualized radar chart as well as connects adjacent critical points to shape a regular polygonal critical region. Next, this study calculates the observed value of the index to estimate and mark it on the axis for forming a visualized fuzzy radar evaluation chart. Obviously, this fuzzy evaluation model not only reduces the testing cost but also makes the quality level quickly meet the requirements of the specifications. Further, the radar chart can reduce the risk of misjudgment attributable to sampling errors and help improve the accuracy of evaluation by a confidence-upper-limit-based fuzzy evaluation model. Therefore, this easy-to-use visualized fuzzy radar evaluation chart is used as an evaluation interface, which has good and convenient management performance to identify and improve critical-to-quality quickly. Improving the quality of the process before the product is completed will also have the advantage of reducing social losses and environmental damage costs.


Author(s):  
Yanqing Zhang ◽  
Hongjun Jing ◽  
Jun Dai

High rockfill embankment is widely applied to high-grade highways in mountainous areas, and its stable operation can significantly promote traffic and economic development. In this study, a stability evaluation model of high rockfill embankment was constructed based on fuzzy mathematics theory to realize effective and rapid evaluation. Considering representativeness and easy operability, 5 level-1 factor indexes and 16 level-2 factor indexes were determined from different perspectives of embankment fillers, slope conditions, hydraulic conditions, slope protection, and other factors. Weights of different factor indexes were allocated using analytic hierarchy process and all factor indexes were quantified and classified using the fuzzy statistical method according to stability level. Reliabilities of factor indexes were combined with reliability theory for analysis. Finally, the reasonability of the proposed fuzzy evaluation model was verified through application in the high rockfill embankment engineering on the secondary highway of the National Highway 316 from Xunyang to Ankang in Shaanxi Province, China. Results demonstrate that the reliability of this high rockfill embankment is 0.8671 and the final score of the evaluation system is 73.1619, indicating stability. Therefore, the proposed fuzzy evaluation model is reasonable and feasible to evaluate stability of high rockfill embankment, and can provide references for future design.


Author(s):  
Xiaokun Zhao ◽  
Chao Zheng

For physical education (PE) in colleges, the evaluation of the teaching quality is affected by various fuzzy and uncertain factors. Therefore, this paper probes deep into the fuzzy evaluation of the teaching quality of college PE, using analytic hierarchy process (AHP), fuzzy system theory and grey theory. Firstly, the factors affecting the teaching quality of college PE were analyzed theoretically, and the keys to improving that teaching quality were clarified. On this basis, the authors established an evaluation index system and a fuzzy evaluation model for the teaching quality of college PE. The proposed fuzzy evaluation model serves an innovative tool to evaluate the teaching quality of college PE. Apart from effective measurement of the teaching quality, the proposed model provides an important reference for improving the teaching quality of college PE.


Author(s):  
Yao Wang ◽  
Chunyan Sun ◽  
Ying Guo

There are two major problems with teaching quality evaluation of physical education (PE) in colleges: the excessive number of evaluation factors, and the incomplete evaluation system. To solve the problems, this paper puts forward a multi-attribute fuzzy evaluation model of college PE teaching quality, and provides the strategies to implement the model. Firstly, the problems of college PE teaching were analyzed, and a novel multi-dimensional evaluation system was developed for college PE teaching quality. To quantify college PE teaching quality, an evaluation model of college PE teaching quality was established based on the Grey Relational Analysis (GRA). In addition, several strategies were presented to improve college PE teaching quality. The proposed model and strategies provide a good reference for solving similar complex system problems.


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