Improvements to the fuzzy mathematics comprehensive quantitative method for evaluating fault sealing

Fuzzy mathematics is an important means to quantitatively evaluate the properties of fault sealing in petroleum reservoirs.To accurately study fault sealing,the comprehensive quantitative evaluation method of fuzzy mathematics is improved based on a previous study.First,the single-factor membership degree is determined using the dynamic clustering method,then a single-factor evaluation matrix is constructed using a continuous grading function,and finally,the probability distribution of the evaluation grade in a fuzzy evaluation matrix is analyzed.In this study,taking the F1 fault located in the northeastern Chepaizi Bulge as an example,the sealing properties of faults in different strata are quantitatively evaluated using both an improved and an un-improved comprehensive fuzzy mathematics quantitative evaluation method.Based on current oil and gas distribution,it is found that our evaluation results before and after improvement are significantly different.For faults in＂best＂and＂poorest＂intervals,our evaluation results are consistent with oil and gas distribution.However,for the faults in＂good＂or＂poor＂intervals,our evaluation is not completelyconsistent with oil and gas distribution.The improved evaluation results reflect the overall and local sealing properties of target zones and embody the nonuniformity of fault sealing,indicating the improved method is more suitable for evaluating fault sealing under complicated conditions.

Summary of Application of Fuzzy Mathematics in Construction Project Management

Construction project management is an important aspect of civil engineering construction. How to use scientific and efficient methods to effectively manage construction projects is the focus of construction project development under the current situation. This article discusses the application of fuzzy mathematics in construction project management. The study found that in the process of construction project management, it was found that a single fuzzy mathematical method was difficult to adapt to the current complex and changeable construction projects. Combining fuzzy mathematics with other management methods and computer applications can better simplify complex things, reduce human subjectivity, increase calculation speed, and achieve a combination of qualitative and quantitative research;selection of optimization schemes and risk assessment, etc. All have a good effect, and can better deal with possible or uncertain things and emergencies in the process of project management. At the same time, combining fuzzy mathematics with heuristic algorithms or meta-heuristic algorithms can make research more objective, improve management efficiency and calculation speed.

Evaluation on Ecological Risks of Soil Heavy Metals in a Certain Area of Sichuan by Improved Fuzzy Mathematics Method

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.

Optimal design of structural parameters for shield cutterhead based on fuzzy mathematics and multi-objective genetic algorithm

In order to improve the strength and stiffness of shield cutterhead, the method of fuzzy mathematics theory in combination with the finite element analysis is adopted. An optimal design model of structural parameters for shield cutterhead is formulated,based on the complex engineering technical requirements. In the model, as the objective function of the model is a composite function of the strength and stiffness, the response surface method is applied to formulate the approximate function of objective function in order to reduce the solution scale of optimal problem. A multi-objective genetic algorithm is used to solve the cutterhead structure design problem and the change rule of the stress-strain with various structural parameters as well as their optimal values were researched under specific geological conditions. The results show that compared with original cutterhead structure scheme, the obtained optimal scheme of the cutterhead structure can greatly improve the strength and stiffness of the cutterhead, which can be seen from the reduction of its maximum equivalent stress by 21.2%, that of its maximum deformation by 0.75%, and that of its mass by 1.04%.

The Program Application on the Relative Method of Fuzzy Mathematics

The method of fuzzy mathematics for simultaneous assessment of time and intensity of earthquake hazards has been studied.This method is based on fundamental statistical indices of regional seismicity.Applying the retrieval method of fuzzy information,we can classify the time and intensity into several intervals and classes of seismic activity,then the possible time interval of large earthquakes with magnitude of M≥Ms can be estimated in a given region.Based on the preceding idea,an FRPP program is constructed.For the automatic data processing when this method is used,it is very important to design the statistical process of each index decomposition so that the program could be fit to a different sample discussed.There are some functions in the FRPP program.The man-made impact on results is reduced to the minimum as far as possible.Computation time is saved.There is a menu on which time interval,index,intensity class,and output data all can be selected.The catalog input that can be displayed on the

Connected Components in Bipolar Fuzzy Digital Plane

The concepts of connectedness play a critical role in digital picture segmentation and analyses. However, the crisp nature of set theory imposes hard boundaries that restrict the extension of the underlying topological notions and results. Whilst fuzzy set theory was introduced to address this inherent drawback, most human processes are not just fuzzy but also double-sided. Most phenomena will exhibit both a positive side and a negative side. Therefore, it is not enough to have a theory that addresses imprecision, uncertainty and ambiguity;rather, the theory must also be able to model polarity. Hence the study of bipolar fuzzy theory is of potential significance in an attempt to model real-life phenomena. This paper extends some concepts of fuzzy digital topology to bipolar fuzzy subsets including some important basic properties such as connectedness and surroundedness.

Pseudo-Semi-Overlap Functions-Based Fuzzy Rough Sets Applied to Image Edge Extraction

As an extension of overlap functions, pseudo-semi-overlap functions are a crucial class of aggregation functions. Therefore, (I, PSO)-fuzzy rough sets are introduced, utilizing pseudo-semi-overlap functions, and further extended for applications in image edge extraction. Firstly, a new clustering function, the pseudo-semi-overlap function, is introduced by eliminating the symmetry and right continuity present in the overlap function. The relaxed nature of this function enhances its applicability in image edge extraction. Secondly, the definitions of (I, PSO)-fuzzy rough sets are provided, using (I, PSO)-fuzzy rough sets, a pair of new fuzzy mathematical morphological operators (IPSOFMM operators) is proposed. Finally, by combining the fuzzy C-means algorithm and IPSOFMM operators, a novel image edge extraction algorithm (FCM-IPSO algorithm) is proposed and implemented. Compared to existing algorithms, the FCM-IPSO algorithm exhibits more image edges and a 73.81% decrease in the noise introduction rate. The outstanding performance of (I, PSO)-fuzzy rough sets in image edge extraction demonstrates their practical application value.

基于AHP-Fuzzy-TOPSIS帕鲁特金矿不同中段开采方法对比优化选择

随着井下开采不断向大埋深作业,通风、安全、排水等作业环境日益复杂,不同采矿方法的选择对矿山的可持续发展显得尤为重要。本文以帕鲁特金矿的开采技术条件为基础,针对4种采矿方法(崩落法、上向分层充填采矿法、分段空场嗣后充填法、梯段空场干式充填法),选取包括生产能力、采切比、损失率、贫化率、作业成本(含充填)、通风条件、生产组织和安全条件8个评价指标,运用AHP-Fuzzy-TOPSIS(层次分析-模糊数学-逼近理想解的排序法)分析模型,计算了2292 m、2050 m和1930 m三个较有代表性的中段的贴合度,并对结果进行了分析,与矿山实际生产情况贴合,验证了该方法的可行性。研究成果为下一步1930 m中段采矿方法的选择提供了理论依据,同时为其他矿井在不同生产阶段最优采矿方法选择提供了一定的借鉴意义。

Application of Fuzzy Mathematics to the Evaluation of Drinking Water Quality in Wuhan

The quality of raw water from major water plants in Wuhan was evaluated by using Fuzzy synthetic evaluation model.It is suggested to select the alternative synthetic evaluation model when the first Fuzzy synthetic model failed in order to increase accuracy.

Pythagorean m-polar fuzzy topology with TOPSIS approach in exploring most effectual method for curing from COVID-19

The corona virus disease 2019(COVID-19)has emerged as a fatal virus.This deadly virus has taken the whole world into clutches and many people have embraced death due to this invincible bug.The death toll is rising with every tick of time.The aspiration behind this article is to discover the preventive measure that should be taken to cope with this intangible enemy.We study the prime notions of novel sort of topology accredited Pythagorean m-polar fuzzy topology along with its prime attributes.We slightly amend the well-acknowledged multi-criteria decision analysis tool TOPSIS(Technique for Order of Preference by Similarity to Ideal Solution)to befit the proposed multi-criteria group decision making(MCGDM)problem of exploring the most effective method for curing from COVID-19 employing the proposed model.

基于Fuzzy-TOPSIS的金矿床采矿方法优选

针对工程地质条件为复杂隐伏大型金矿床簸箕田金矿,通过数学模糊法对其采矿方法优选。首先,在初选的四种采矿方法基础上,使用逼近理想解的排序法对其指标量化,建立矩阵计算的正理想解的欧氏距离,从而得出根据贴合度确定四种采矿方法最终的优劣顺序;其次,通过数值模拟,对得到的最大应力场分布及塑性区分布分析,得到初选四种采矿方法的优劣顺序。结果表明,上向进路充填采矿法是簸箕田金矿最优采矿方法,为簸箕田金矿采矿方法选择提供了参考,也为贵州地区同类型复杂黄金矿床的开采积累了经验。

基于AHP-FUZZY模型的急倾斜中厚矿体采矿方法优选

采用层次分析法和模糊数学对其采矿方法进行优选,选择适合该矿的最佳采矿方法.首先通过查阅资料初步选出适合该矿体的采矿方法;其次运用层次分析法构造了采矿方法的影响因素指标的层次分析模型,确定了各指标的权值,最后根据模糊数学理论进行综合评判确定最佳采矿方法为向上水平分层充填法.该方法投入生产后,矿石损失贫化大大减小,可实现矿石价值84亿,节约42万元,取得良好的经济效益.

NL-Fuzzy拓扑空间的连通性

主要通过类比推理和文献分析法,将L-Fuzzy拓扑空间中的连通性引入到NL-Fuzzy拓扑空间中。首先,基于N-开集、N-闭包等概念定义了N-连通性,给出了其等价刻画,讨论了它的一些基本性质;其次,证明了N-连通性具有可和性和拓扑不变性,以及若可拓扑生成的LF拓扑空间是N-连通的,则分明拓扑空间也是N-连通,并通过反例证明了N-连通性不是L-好的推广。研究结果丰富了L-Fuzzy拓扑空间理论体系,为NL-Fuzzy拓扑空间的相关理论研究提供了一定的参考价值。

基于Fuzzy-LOPA分析的储罐区池火灾风险评价

为定量计算储罐区因池火灾引发的事故风险值,判断现有风险是否满足风险可容忍程度,将模糊数学理论和保护层分析相结合,从事故发生可能性和事故后果两方面进行保护层识别。根据隶属度函数确定模糊语言,通过模糊控制规则确定风险模糊值,并进行模糊逻辑运算、模糊推理和解模糊化处理,最终得到风险的清晰值,并通过了实例分析和验证。结果表明:待评价储罐的风险结果属于“可容忍”的概率为83%,属于“不可容忍”的概率为17%;该方法与传统方法相比,体现了过程风险的动态性和模糊性,风险评估结果更加准确。研究结果可为站场同类设备和工艺的风险评价及安全仪表系统的定级提供实际参考。

ON THE CHARACTERIZATION OF FUZZY TOPOLOGY USING FUZZY CONVERGENCE CLASS

Paralleling the correspending result in general topology, we have tried to characterize the fuzzy topology via the fuzzy convergence class (J. Math. Anal. Appl., 76(1980), 571), but the result obtained is not perfect. In fact, the range domain of set functions is now extended from {0,1} to the unit interval [0,1]=I. Roughly speaking, the related problem is considered in one more dimensional Space. Moreover, the range domain I is not simply seen as a aet of points, so there is an order relation among the points of I. Therefore the desired characterization in fuzzy topology should be

基于Fuzzy-AHP的堆积体边坡稳定性评价研究

为快速评价运营期高速公路堆积体边坡稳定性并采取科学的预防性养护对策,在现场调查湖南省多条高速公路堆积体边坡的基础上,考虑评价模型的科学性与公路边坡养护的可操作性,总结现有国内外堆积体边坡研究成果,并根据堆积体边坡的特点选择合理的边坡稳定性指标,建立堆积体边坡稳定性分析的模糊层次分析模型。层次模型由2级5类17项评价指标组成,包括:(1)堆积体结构特征(基岩岩性、接触面特性、碎石含量、堆积体土厚度、堆积体胶结程度);(2)边坡断面特征(坡度、坡高、坡向与岩层产状的关系);(3)水力特征(排水系统、降雨量、地下水);(4)工程防护及绿化(防护结构、加固结构、植被覆盖率);(5)其他因素(边坡破坏历史、地震烈度、开挖方法)。此模型基于模糊数学理论及层次分析方法,通过AHP方法(层次分析法)确定指标权重,然后结合Fuzzy方法(模糊数学方法)计算相对隶属度向量,通过模糊综合评判对堆积体边坡的稳定性进行分析,确定边坡稳定性分级。最后通过工程实例验证了该模型的正确性。结果表明,应用该模型可以使堆积体边坡稳定性评价更全面,更科学合理,更符合公路边坡工程实际。该方法简便可行,结论可靠,具有一定的优越性,可为高速公路边坡养护决策提供有益参考。

基于fuzzy AHP的顾客满意度权重计算方法的研究

顾客满意度指标权重的确定是顾客满意度测评研究中的核心问题之一,文章在建立顾客满意度层次分析结构模型的基础上,具体分析了满意度定性指标权重确定的算法问题,研究开发了相应的计算软件,并进行了实证研究与分析。

基于Fuzzy-AHP的膨胀土边坡稳定性多级综合评判

为快速有效评价运营期高速公路膨胀土边坡稳定性并采取科学的预防性养护对策,考虑评价模型的科学性与公路边坡养护的可操作性,总结现有国内外膨胀土边坡研究成果,选择反映公路膨胀土边坡特点的边坡稳定性指标,建立膨胀土边坡稳定性分析的Fuzzy-AHP分析模型。Fuzzy-AHP模型由2级4类14项评价指标组成,包括:坡体状况(边坡高度、坡度、土性、裂隙深度);水力及气象特征(渗流、输水设施、降雨强度、地下水位);防护及加固措施(防护结构状况、加固结构状况、植被覆盖率);其他因素(开挖方式、破坏历史、地震)。该模型基于Fuzzy理论(模糊数学)及AHP层次分析权重确定方法,通过AHP方法确定指标权重,然后结合模糊分析理论计算各指标的相对隶属度向量,通过模糊综合评判对膨胀土边坡的稳定性进行分析,确定相应边坡稳定性等级,最后通过工程实例验证该模型的正确性。研究结果表明:应用该模型可以使膨胀土边坡稳定性评价更全面,更科学合理,更符合公路边坡工程实际;该方法简便可行,结论可靠,具有一定的优越性,可为相关部门膨胀土边坡养护决策提供参考。