Uncertainty Measurement Theory Research Articles

Construction Quality Evaluation of Concrete Structures in Hydraulic Tunnels Based on CWM-UM Modeling

The construction time of concrete structures in hydraulic tunnels is long, the construction environment is complex, and there are many influencing factors. The requirements for construction quality are high not only to meet the strength requirements but also to meet the design requirements of erosion resistance, crack resistance, and seepage resistance according to its specific operating environment. Therefore, evaluating the construction quality of concrete structures in hydraulic tunnels is of great significance. Considering the randomness and fuzziness of factors affecting the construction quality of concrete structures in hydraulic tunnels, this paper proposes a comprehensive evaluation model based on combined weighting (CWM) and uncertainty measurement theory (UM). The improved analytic hierarchy process (IAHP) and the CRITIC method are used to determine the subjective and objective weights of evaluation indicators. Combined weighting is based on the principle of minimum entropy, and the UM method is used to evaluate the construction quality level. Finally, taking a hydraulic tunnel as an example, its construction quality grade is calculated to be III, according to the evaluation model proposed in this paper, which matches the engineering reality, and a comparative study is made with the mixture element topology theory at the same time. It is verified that the evaluation model can scientifically and reasonably evaluate the construction quality level of concrete structures in hydraulic tunnels.

Optimization of ore pillar recovery based on weighting combined with uncertainty measurement theory

Abstract Given the multi-objective nature and inherent uncertainty in evaluating ore pillar mining schemes, the analytic hierarchy process (AHP) and entropy method were applied to determine factor weights. A new combined weighting method was proposed to obtain more objective and accurate results. Seven quantitative and four qualitative indicators were selected based on various mining performance factors and grading standards. A combined weighting–uncertainty measurement theory evaluation model was then constructed, integrating weight values and confidence levels from the recognition criteria. This model was applied to evaluate three proposed schemes, determining their relative merits and ranking. The evaluation demonstrated that the combined weighting–uncertainty measurement model outperformed both the fuzzy theory and the TOPSIS method in delivering comprehensive, objectivity and reliable results for assessing ore pillar mining schemes.

Risk assessment of karst water inrush in tunnel engineering based on improved game theory and uncertainty measure theory

The sudden inrush of water poses a serious threat to the safety of workers during tunnel construction in the karst region of southwest China. To mitigate this risk, a model is proposed to assess the risk of water surge through a tunnel by combining improved game theory with uncertainty measure theory. Eight indicators of risk were extracted based on the solubility of rock, its geological structure, capacity for surface catchment, and hydrogeological factors, and were incorporated into the proposed model. The subjective weights of these indicators were obtained using the analytic hierarchy process, while their objective weights were calculated through the entropy weighting method and the criteria importance through intercriteria correlation method. An improved game theory-based method of combinatorial weighting was then used to construct the corresponding weight vectors. Single-indicator measurement functions and multi-indicator measurement matrices were utilized to classify and evaluate the indicators of the risk of a surge in water level based on a confidence criterion. The proposed method was applied to five typical karst sections of the Yanjin Tunnel of the Chongqing–Kunming High-speed Railway Project, and the method was validated by comparing the recorded and estimated inflow volume ranges during the project’s construction, showing consistency with the actual evaluation results. This proposed model thus offers a practical tool for assessing the risk of water inrush in karst tunnels.

Creep level qualitative evaluating of crushed rock based on uncertainty measurement theory and hierarchical analysis

A large number of tectonically mixed rock belts and complex tectonic zones are distributed in the southwestern part of China. In these areas, high geostress and tectonic stresses have caused some underground rock layers to be crushed and broken, eventually forming crushed rock zones. Which may undergo creep deformation under long-term loads. The manuscript is based on a typical crushed rock in the southwestern China. Firstly, the factors affecting creep deformation were analysed, and the response law of each influencing factor to rock creep is demonstrated. Then, the theory of uncorroborated measures and hierarchical analysis were used to systematically correlate the factors influencing creep. Thereby, a creep level qualitative evaluating model of crushed rock is established. Finally, this model was used to qualitatively evaluate the creep level of the crushed rock in the study area. It is concluded that the creep level qualitative evaluating of this crushed rock is rated as Class II, which is characterised by a low creep level and small creep deformations (0–10 mm). The research results can provide a reference for the creep analysis of crushed rock and provide a basis for the safe construction of engineering slopes.

Thermal humidity risk assessment in high-temperature environment of mines based on uncertainty measurement theory

As the depth of underground resource extraction continues to extend, the operating conditions in deep mines are becoming increasingly harsh, and high temperatures and humidity are now posing a huge threat to the health of workers and mine safety production. In an attempt to assist mine management in assessing the riskiness of the extreme hot and humid environment of underground mining, we proposed a multi-indicator grading model. The model was developed around eight factors that affect high heat and humidity environments, using the uncertainty measurement theory. In the evaluation process, the indicator weights were determined by the entropy weighting method, and then the multi-indicator measure evaluation matrix was derived. The confidence recognition criterion was used to determine the grade, so as to obtain the evaluation results of thermal humidity risk. A ranking of the riskiness importance of the evaluation objects was also achieved. Finally, the model was used to analyse and assess the risk rating of thermal humidity at 11 working faces in a gold mine. The results show that the evaluation results are consistent with the real results and this approach can be applied in practical engineering.

An Evaluation of the Petroleum Investment Environment in African Oil-Producing Countries Based on Combination Weighting and Uncertainty Measure Theory

Recognizing that the evaluation of the overseas petroleum investment environment is affected by many uncertain factors and that there are problems with current evaluation methods, this paper proposes a mathematical evaluation model of an overseas oil resources investment environment, based on a combination of the weighting and uncertainty measure theory. Combining international investment environment theory with the characteristics of the petroleum industry, this paper establishes an evaluation index system for the overseas petroleum investment environment and the linear uncertainty measure function of each index. Using the subjective weight obtained using an analytic hierarchy process together with the objective weight obtained using the entropy weight method, the optimal weight of each evaluation index was obtained using minimum relative information entropy. A multi-index evaluation matrix of the top 12 oil-producing countries in Africa was calculated. Finally, the credible degree recognition criterion was used to judge the order and level of the oil investment environment. This model provides an effective method for the evaluation of the overseas petroleum investment environment. The results show that Nigeria and Angola have the best investment climate, followed by Algeria, Egypt, and Libya. In general, Africa is an important strategic partner of China and is rich in oil resources. Although Africa’s oil industry is fraught with complex challenges and headwinds, challenges also present opportunities.

Regional Hazard Degree Evaluation and Prediction for Disaster Induced by Discharged Tailings Flow from Dam Failure

Tailings impoundments are the important structures for the normal mine production, which are also the potential major hazard sources of mine safety. On the basis of the previous tailings dam break model experiment and numerical simulation results, the important characteristic parameters were selected to develop a hazard degree evaluation index system for the disasters induced by the discharged tailings flow from dam failure. The evaluation model was established further by using the uncertainty measurement theory. The results show that the hazard degrees of three characteristic regions (village locations) in the downstream of tailings impoundment were evaluated; it was determined that, the regional safety level of village I was “dangerous”, while those for villages II and III were “relatively safe”. Moreover, the evolution process of discharged tailings flow was divided into three characteristic stages on the whole, and a greater sand burst amount was associated with a greater risk to the downstream of the tailings impoundment. The results were highly consistent with the results of the laboratory dam break model experiments and numerical simulations.

Case Studies and Evaluation of Green Mining considering Uncertainty Factors and Multiple Indicator Weights

The implementation of green mining (GM) can improve the quality of economic growth. Based on uncertainty measurement theory (UMT), we aim to develop a reasonable method of green mining (GM) evaluation for building material (BM) mines via comparative analysis. At first, establish UMT evaluating model for GM. The linear uncertainty (LU) measurement function was employed to solve single indicator measure values. Then, based on the entropy weight method (EWM), the analytic hierarchy process (AHP) and a method that couples AHP and EWM (EWM-AHP), and the weights of the evaluating indicator were determined. At last, based on UMT, a total of 6 coupled methods are developed to evaluate the GM grades. The GM grades of two building material mines in China were evaluated by applying the 6 methods. Future suggestions were given to the enterprises to improve the GM grades. According to the actual situations of GM in the two building material (BM) mines, it can be speculated that UMT-EWM-AHP-CDRT is the most reasonable method. The reasonable method can not only evaluate the GM grades for BM but also provide guidance to the development of GM for BM.

An Improved Uncertainty Measure Theory Based on Game Theory Weighting

In the application of uncertainty measure theory, the determination method of index weight mainly includes the subjective weight determination method and the objective weight determination method. The subjective weight determination method has the disadvantages affected by the subjective preference of the decision-maker. The objective weight determination method often ignores the participation degree of the decision-maker, and when using the uncertainty measure evaluation model to perform multi-index classification evaluation, the credible degree recognition criterion is often used as the attribute recognition of the object to be measured, because the credible degree is taken by the subjective people, and the different values of different people have a great influence on the evaluation results. In order to solve the above problems in the uncertainty measure theory, this paper used the combination weighting of game theory to determine the optimal weight. At the same time, the credible degree recognition criterion was improved on the basis of the concept of minimum uncertainty measure distance, and a game theory-improved uncertainty measure optimization model was proposed. Finally, the validity of the model was proven by a case.

Evaluation of the environmental quality associated with near-surface groundwater characteristics in coal-mining areas based on rough set and uncertainty measure theory

Evaluation of the environmental quality associated with near-surface groundwater characteristics in coal-mining areas based on rough set and uncertainty measure theory

Evaluation Failure Possibility of Oil and Gas Pipelines Based on Uncertainty Measurement Theory

This paper presents an uncertainty measurement theory approach to evaluate failure possibility from failure factors of buried pipelines. The approach considers five levels of failure possibility and selects twenty failure factors. Single index measurement functions for failure factors are used to calculate the measurement values to the failure levels. The measurement values form a single index measurement evaluation matrix, from which a weight vector is developed using information entropy theory. The multi-index uncertainty measurement is determined from the cross product of the single index measurement matrix and the weight vector. The level of failure possibility is judged by credible degree recognition criteria. The proposed approach is demonstrated to be applicable for evaluating failure possibility of pipelines and outperforms other methods.

The evaluation of potential for the exploration and development of coalbed methane resources based on an improved uncertainty measure optimization model

The recognition criteria of credible degree in uncertainty measure theory are improved based on the concept of distance discriminant and used to evaluate the potential for exploration and development of coalbed methane. This paper uses a systematic approach to establish a mathematical model based on entropy weight and improved uncertainty measure theory. In this model, uncertainty influence factors were analyzed qualitatively and quantitatively using data for the Muli coalfield of Qinghai province, China. The uncertainty measure function is based on experimental data, and the weight of index is determined by entropy weight theory. Optimization credible degree recognition criteria were used to evaluate the potential for coalbed methane exploration and development of six mines in the Muli coalfield. These data indicate that evaluation results obtained using entropy weight and improved uncertainty measure theory have practical application and can effectively assess the exploration and development potential of coalbed methane in a coal basin.

A rough set-based measurement model study on high-speed railway safety operation.

Aiming to solve the safety problems of high-speed railway operation and management, one new method is urgently needed to construct on the basis of the rough set theory and the uncertainty measurement theory. The method should carefully consider every factor of high-speed railway operation that realizes the measurement indexes of its safety operation. After analyzing the factors that influence high-speed railway safety operation in detail, a rough measurement model is finally constructed to describe the operation process. Based on the above considerations, this paper redistricts the safety influence factors of high-speed railway operation as 16 measurement indexes which include staff index, vehicle index, equipment index and environment. And the paper also provides another reasonable and effective theoretical method to solve the safety problems of multiple attribute measurement in high-speed railway operation. As while as analyzing the operation data of 10 pivotal railway lines in China, this paper respectively uses the rough set-based measurement model and value function model (one model for calculating the safety value) for calculating the operation safety value. The calculation result shows that the curve of safety value with the proposed method has smaller error and greater stability than the value function method’s, which verifies the feasibility and effectiveness.

Uncertainty measurement theory based evaluation of inherent safety of chemical process

Uncertainty measurement theory based evaluation of inherent safety of chemical process

A mathematical model for groundwater environmental quality evaluation based on entropy weight and uncertainty measure theory

A mathematical model for groundwater environmental quality evaluation based on entropy weight and uncertainty measure theory

Study and Application on Evaluation Model of Atmospheric Environmental Quality Based on Uncertainty Measure Theory

At present, the atmospheric environmental quality became one of the problems increasingly concerned, and uncertainty measure method had been applied in many fields. The significance of atmospheric environmental quality evaluation and existing problems of evaluation methods were discussed, with attention paid to prior research results. This paper selected three atmospheric environmental pollution factors such as SO2, NO2 and PM10 as evaluation parameters to establish level-evaluating and order-arranging models of atmospheric environmental quality on the basis of information entropy and uncertainty measure theory. In the model, this paper used annual air pollution monitoring data in Xinxiang city during 2006 to 2010 to build uncertainty measure function, adopted information entropy theory to give the weight of index and used credible degree recognition criterion to judge atmospheric environmental quality level and order. The example analysis shows that it is reasonable and has significance for the evaluation of atmospheric environment quality in the future.

Application of Uncertainty Mathematics Theory in Water Environmental Quality Evaluation

Accompanied with rapid economic growth and human development, the world faces severe water shortages, which pose a serious threat to human society. In the present study, the significance of water environmental quality evaluation and problems found in available evaluation methods were discussed, with a focus on prior research results. This paper selected ammonia nitrogen (NH3-N), chemical oxygen demand (COD), cyanide, volatile phenol and petroleum as evaluation factors, and established level-evaluating and order-arranging models of water environmental quality on the basis of information entropy and uncertainty measure theory. The uncertainty influence factors based on the real situation were quantitatively and qualitatively analyzed, and the experimental data were used to establish the uncertainty measure function. Also, we adopted information entropy theory to calculate the weight of the index, and determined the level and level order of water environmental quality based on credible degree recognition criterion. The developed model was applied to assess water environmental quality in four sections of Dan River Basin. The results show that uncertainty measure method is reasonable, with the potential significance of assessing water environment quality in the future.

Prediction of coalbed methane content based on uncertainty clustering method

An analysis of factors that influence coalbed methane content showed that seven factors had a major influence: coal thickness, methane concentration, vitrinite reflectance, permeability, cracks, and sealing conditions hydrodynamic conditions were selected as criterion indexes. The prediction model of coalbed methane content was built based on the uncertainty measure theory. Data from six regions in the central and southern Qinshui Basin were used as the training sample. The sample mean was set as the cluster centers, and the index weight was determined by information entropy theory. Calculation of the multi-index comprehensive measure of the sample showed that the sample was classified according to the minimum uncertainty measure distance principle, which was used to predict coalbed methane content. The research results show that: the obtained level by the prediction method is consistent with the practical level, the predictive value is basically consistent with the actual value, coalbed methane content prediction method based on uncertainty measure theory is reliable and practical, as well as showing a new way for the prediction and evaluation of coalbed methane content in the future.

Study and Application of Safety Risk Evaluation Model for CO2Geological Storage Based on Uncertainty Measure Theory

Analyzing showed that the safety risk evaluation for CO2geological storage had important significance. Aimed at the characteristics of CO2geological storage safety risk evaluation, drawing on previous research results, rank and order models for safety risk evaluation of CO2geological storage were put forward based on information entropy and uncertainty measure theory. In this model, the uncertainty problems in safety risk evaluation of CO2geological storage were solved by qualitative analysis and quantitative analysis, respectively; uncertainty measurement functions for the relevant factors were established based on experimental data; information entropy theory was applied to calculate the index weight of factors; safety risk level was judged based on credible degree recognition criterion and ordered. This model was applied in three typical zones of Erdos and Hetao basins. The results show that uncertainty measure method is objective and reasonable and can be used as a new way to evaluate the safety of CO2geological storage sites in the future.

Effect Evaluation of Bench Blasting Based on Unascertained Measurement Model

In order to resolve the uncertainty problem of influence factors in effect evaluation of bench blasting, the effect evaluation model of bench blasting based on uncertainty measurement theory was built, then this model was used to evaluate the bench blasting effect in Hongshuitai flat engineering. The evaluation results show that: the information entropy and confidence identifying criterion were respectively used to ascertain the evaluation index weight and identifying criterion, by these ways, the evaluation results of this model are more objective; and the evaluation index can be selected flexibly according to actual situation, the calculation of evaluation model is simple, so the evaluation results can offer decision basis for blasting workers to make timely adjustment of the blasting scheme.