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Search Results: 1 - 10 of 28687 matches for " Fuzzy Mathematics Method "
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Evaluation of the Effect of Ecological Migration on Rural Household Development Capability  [PDF]
Guotao Yang, Zihe Liu, Huijie Zhou
Journal of Human Resource and Sustainability Studies (JHRSS) , 2015, DOI: 10.4236/jhrss.2015.31002
Abstract: This paper aims at evaluating rural household development capability in the procedure of ecological migration in Ningxia with fuzzy mathematics method. To achieve this goal, an indicator system of rural household development capability, which consists of 3 first-class indicators, 21 second-class indicators and 57 third-class indicators, is established. The data applied in this research are acquired from a field investigation to Liupanshan poverty-ridden areas in Ningxia. According to the results, rural household development capability of resettlement areas has increased compared with that of montanic areas, as is reflected in the three first-class indicators, self development capability, self development awareness and public atmosphere. However, at the same time, a few second- and third-class indicators have decreased owing to migration, such as per capita net income, guanxi network and money-raising ability, etc. This offers an overall view of the changes in peasants’ life, and accordingly a few suggestions on future implementation of the migration policy.
The Optimal Portfolio Model Based on Mean-CVaR  [PDF]
Xing Yu, Hongguo Sun, Guohua Chen
Journal of Mathematical Finance (JMF) , 2011, DOI: 10.4236/jmf.2011.13017
Abstract: This paper proposed the optimal portfolio model maximizing returns and minimizing the risk expressed as CvaR under the assumption that the portfolio yield subject to heavy tail. We use fuzzy mathematics method to solve the multi-objectives model, and compare the model results to the case under the normal distribution yield assumption based on the portfolio VAR through empirical research. It is showed that our return is approximate to M-V model but risk is higher than M-V model. So it is illustrated that CVaR predicts the potential risk of the portfolio, which will help investors to cautious investment.

Wu Tairan,

岩石学报 , 1991,
Abstract: There is a confusion in discrimination diagrams of basalts for determining their tectonic environments. The confusion comes from inaccuracy,multi-variant solution and controversy. A fuzzy-mathematical model is set up by compositely using the diagrams, and a best program for discriminating tectonic environments is verified. The envh-onments for formation of basalts can be distinguished into four types:mid-ocean ridge, volcanic arc, continental rift and intraplate environments. By analysing and calculating data from these tectonic environments with the fuzzy-mathematical model and related computer program, a satisfactory result was obtained in examination of the typical tectonic environments.
Evaluation on Ecological Risks of Soil Heavy Metals in a Certain Area of Sichuan by Improved Fuzzy Mathematics Method  [PDF]
Dongxia Cui, Qiguo Zhao, Wei Xu
Journal of Geoscience and Environment Protection (GEP) , 2014, DOI: 10.4236/gep.2014.22005
Abstract: Taking a certain area in Sichuan Province as the object of this study, this paper adopts fuzzy mathematics method to make an evaluation on ecological risks of heavy metal in soil of this area. On calculation of factors’ weights, the traditional method of giving weight according to pollutants’ concentrations fails to consider the toxicity of heavy metals, and can’t reflect their actual ecological effect. With reference to the toxicity coefficient in potential ecological risk index evaluation, this article revises the traditional fuzzy mathematics evaluation model and puts forward a new method to calculate factors’ weight by incorporating toxicity levels in weight setting. The results of this study indicate: surface soil of this area was good in general, with 91.2% samples belonging to the first level, 7.77% samples belonging to the second level, and only 1.03% belonging to the third level. Compared with the results of the evaluation method of the reality content of soil, soil quality is better than the results of the quantitative evaluation, and is closer to the actual local conditions.

Li Wenxiu,

力学学报 , 1990,
Abstract: In view of the marked "Fuzziness" in the factors that have effect on the problems of rock mechanics, the deformation failure of rock mass in mining engineering is studied by using the Fuzzy mathematical theory in the paper. In accordance with the deformation failure of rock mass in open-pit mines, by applying the theory of Fuzzy probability measures, the Fuzzy probability formula is derived for the deformation failure of rock masses, and the numerical method is given to calculate the Fuzzy probability. The practical calculation shows that the method can be applied to analyzing and studying the problems of the rock mechanics, especially the mining rock mechanics.
- , 2018, DOI: 10.13982/j.mfst.1673-9078.2018.6.024
Abstract: 采用模糊数学感官评价法优化蹄叶橐吾功能饮料的配方,得出最优配方为:蹄叶橐吾添加量8.0 g/L,罗汉果添加量6.0 g/L,蔗糖添加量40.0 g/L,甘草添加量1.0 g/L,此时的产品感官评分最高。运用电子鼻和电子舌技术测定蹄叶橐吾饮料和4种不同品牌饮料的气味和滋味,对所得数据进行主成分分析(PCA)和线性判别分析(LDA),得出PCA和LDA的第一、二组分总贡献率分别为99.1%、98.1%和87.22%、93.0%,均大于85%,在一定程度上可以反映样品整体情况。不同样品在PCA图和LDA图中的分布区域不同,表明样品间有较明显区分。与电子鼻相比,电子舌检测所得的同一种样品的分布点更加集中,不同种样品的分布区域较为分散,表明电子舌的检测区分度更高。蹄叶橐吾饮料与市面上销售的同类产品相比,气味和滋味有明显区别,丰富了饮料的多样性。
Sensory evaluation and fuzzy mathematics method were used to optimize the formula of hoof leaf ligularia functional beverage, the optimal formulas were as follows: 8.0 g/L of hoof leaf ligularia, 6.0 g/L of fructus momordicae, 40.0 g/L of sucrose , and 1.0 g/L of licorice. Electronic nose and tongue techniques were used to evaluate the odor and flavor of hoof leaf ligularia beverage and other four kinds of commercial functional drinks. Principal component analysis (PCA) and linear discriminant analysis (LDA) were used to investigate data. The total contribution rate of the first and second components of PCA were 99.1% and 98.1%, respectively, and LDA were 87.22% and 93.0%, respectively. They were all greater than 85% which indicated that the first and second components could represent the whole sample to some extent. The distribution areas of different samples in PCA and LDA diagrams were different, demonstrating that there were clear distinctions between the samples. Compared with the electronic nose, the data distribution of the same test sample detected by electronic tongue was more concentrated, and the distribution areas of different kinds of samples were more scattered, indicating that the discrimination of electronic tongue was more effective. Compared with the similar products sold on the market, the odor and flavor of hoof leaf ligularia functional beverage was different, which enriched the diversity of beverage.
Analysis and Evaluation to a State’s Fragility  [PDF]
Zirui Su, Yuting Nie, Fei Xie
International Journal of Modern Nonlinear Theory and Application (IJMNTA) , 2018, DOI: 10.4236/ijmnta.2018.71002
Abstract: Climate change is a global focus over the decades. It triggers many environment issues frequently, even serious natural disasters. The potential effects of the climate change are worse than itself. Many of these effects will gradually weaken the structure of society and government. As a result, the broken governments will turn into fragile states which refer to those states that are not able or choose not to provide the basic essentials to its people. We develop the fuzzy mathematics evaluation model to analyze the problem and evaluate the degree of a country’s fragility, and we definite the fragility evaluation levels through the results in the model. In addition, we also apply our model to Yemen and compare the different situations whether considering climate change or not. Then we put our eyes on South Africa, a getting-warmer country in Africa. We construct the second model—Time series forecasting model, to grasp the changing fragility trend in South Africa and make prediction to see time and ways the fragility degree will change. Furthermore, we modify the forecasting model and use a brand new third model which is called grey model, to figure out the importance of Somalia governmental aid along with intervention by predicting that the arrival of drought in Somalia will be slowed down through positive response from the government.
Selection of Best Materials and Parametric Optimization of Solar Parabolic Collector Using Fuzzy Logic  [PDF]
Sri P. Mohana Reddy, Pathi Venkataramaiah, Devuru Vishnu Vardhan Reddy
Energy and Power Engineering (EPE) , 2014, DOI: 10.4236/epe.2014.614046
Abstract: This paper focused on selection of best materials for absorber tube and reflective surfaces of Solar Parabolic Collector (SPC) using fuzzy logic, after analysing the material data. The glass mirror and Aluminium absorber have been identified as best materials. These selected materials are replaced in existing experimental setup. An experimental design is prepared based on the considered parabolic collector parameters: Absorptivity, Reflectivity and Period of Sun Incidence. During experiments, outlet temperature of water and discharge is recorded for each experimental run. These data are analyzed using fuzzy Logic integrated with the Taguchi method and optimal parameter combination has been found.
On Fuzzy Control of Soybean Aphid  [PDF]
Magda S. Peixoto, Laécio C. Barros, Rodney C. Bassanezi, Odair A. Fernandes
Applied Mathematics (AM) , 2016, DOI: 10.4236/am.2016.717171
Abstract: This paper uses a methodology based in Fuzzy Sets Theory in order to describe the interaction between the prey, Aphis glycines (Hemiptera: Aphididae)—the soybean aphid, and its predator, Orius insidiosus (Hemiptera: Anthocoridae) and to propose a biological control to soybean aphid. Economic thresholds were already developed for this pest. The model includes biotic (predator) and abiotic (temperature) factors, which affect the soybean aphid population dynamics. The dynamic model results in a fuzzy model that preserves the biological meaning and nature of the predator-prey model. The paper also includes a comparison between the fuzzy model and real data reported in the literature. Subsequently, we propose a biological control to soybean aphid by another fuzzy rule-based system. This model has allowed to predict timing and releasing number of predators for soybean aphid biological control. On the one hand, the soybean aphid has still not found in Brazil. Therefore, before any eventual invasion, a predictive model to enhance biological control program is desirable. On the other hand, the soybean aphid has become the most devastating insect pest of soybeans in the United States. Brazil is the second largest exporter of soybean at present, after the USA and before Argentina. According to the Bureau of Agriculture of the USA, it has been estimated that Brazil will be the largest soybean exporter in 2023.

Li Wenxiu,

岩石力学与工程学报 , 2004,
Abstract: The mathematical models on rockmass displacements for underground mining and slope stability are established by using fuzzy mathematics theory and applied to predict the rockmass displacements and deformations due to open-underground combined mining for the thick ore body with steep dip angle. The fuzzy mathematics method is used to determine the engineering parameters for analysis and calculation. The results of calculation can be applied to predict ground surface movements due to underground mining,and provide a theoretical basis for mining engineering design.
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