模糊微分方程 的英文怎麼說

中文拼音 [móhúwéifēnfāngchéng]
模糊微分方程 英文
fuzzy differential equation
  • 模 : 模名詞1. （模子） mould; pattern; matrix 2. （姓氏） a surname
  • 糊 : 糊名詞（樣子像粥的食物） paste
  • 分 : 分Ⅰ名詞1. （成分） component 2. （職責和權利的限度） what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] （料想） judge
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 程 : 名詞1 （規章; 法式） rule; regulation 2 （進度; 程序） order; procedure 3 （路途; 一段路） journe...
  • 模糊 : 1 （不清楚） dim; vague; indistinct; obscure; fuzzy; blurred 2 （混淆） blur; obscure; confuse; m...
  1. The equations of the mean value functions and the covariance functions are established for dynamical systems whose inputs are fuzzy stochastic processes. an existence and uniqueness theorem of ito fuzzy stochastic differential equations is proved, some explicit representations of solutions and the equations of statistical characteristics are deduced for linear fuzzy stochastic differential equations, and numerical methods to nonlinear fuzzy stochastic differential equations are proposed, the conditions for stability and observability of fuzzy linear systems are derived. the kalman filter algorithms of linear fuzzy stochastic systems are brought forward

    主要成果包括：提出了模糊隨機變量協方差和反向協方差的概念；研究了二階模糊隨機變量的均方收斂性，並在此基礎上得到了均方模糊隨機分析、平穩模糊隨機過程及其譜分解的若干定理；根據均方模糊隨機分析理論，得到了輸入為模糊隨機過程的線性系統的輸出輸入統計特徵關系方程；證明了ito型模糊隨機微分方程解的存在唯一性，並給出了ito型線性模糊隨機微分方程解的表達式，統計特徵方程以及非線性模糊隨機微分方程的數值解法；得到了模糊線性系統的穩定性和可觀性條件、線性模糊隨機系統統計特徵方程和線性模糊隨機系統的kalman濾波演算法；研究了當觀測值是模糊數據時，線性回歸模型的建立。
  2. Present methods generally based on the statistics of earthquake damage, expert experiences, theory analysis and experimental researches have obvious advantages, disadvantages and certain scopes of application ; ( 2 ) different prediction methods should be adopted against different building conditions, sites, intensity and experiences etc to predict earthquake damage of buildings for prospective accuracy, dependability and availability ; ( 3 ) earthquake damage matrix, which is the foundation of earthquake damage prediction, of 7 kinds of building in the urban areas of zhangzhou city under intensity 6 to 9 has been set up. the damage conditions of different buildings under different intensity are as followings : all kinds of structures are basically intact under intensity 6 ; the reinforced concrete structures are basically intact under intensity 7, but other kinds of structures are destroyed slightly ; the reinforced concrete structures are still basically intact while other kinds of structures are destroyed intermediately under intensity 8 ; the reinforced concrete structures are destroyed slightly, single - story factories and open houses are destroyed intermediately and other kinds of structures are destroyed seriously under intensity 9 ; ( 4 ) the results of earthquake damage predicting of buildings embody the damage when earthquake happens in the future. thus, further identifications and reinforcements should be considered to buildings that will be destroyed intermediately or more under the earthquake with 10 % exceeding probability in future 50 years ; ( 5 ) the direct economic losses caused by damage of buildings resting with the area, structural type, intensity and damage of all kinds of buildings are the main part of the losses of the city in an earthquake ; ( 6 ) the direct economic losses increased progressively toward high intensity by 2 or 3 times

    基於上述研究，得出的主要結論有：建築物震害預測是一個模糊的、系統的、復雜的問題，現有的方法很多一般都是以震害統計規律、專家經驗、理論分析和試驗研究為依據，有其自身的優缺點和一定的適用范圍；應針對不同的建築物條件、場地條件、地震強度和已有經驗等，採用不同的預測方法進行建築物震害預測，以使預測結果達到預期的精確性、可靠性和可操作性；建立了漳州市區7類建築物在6度9度地震作用下的震害矩陣，成為指導抗震防災的重要依據，各類結構的震害情況表現為： 6度地震作用下各類建築物基本完好； 7度地震作用下除鋼筋混凝土結構基本完好外其餘以建築輕微破壞為主； 8度地震作用下鋼筋混凝土結構仍以基本完好為主而其餘建築以中等破壞為主； 9度地震作用下鋼筋混凝土結構以輕微破壞為主，單層工業廠房和空曠房屋以中等破壞為主，其餘建築以嚴重破壞為主；建築物的震害預測結果體現了未來地震來臨時的震害程度，在編制漳州市區抗震防災規劃時，對于遭遇50年超越概率10的地震影響發生中等以上破壞的建築物應考慮進行抗震鑒定和加固；由建築物的破壞所造成的直接經濟損失是城市地震經濟損失的主要部分，重慶大學碩士學位論文中文摘要其主要與建築物總面積、結構類型、地震烈度和各類建築物的震害程度有關;不同烈度造成的直接經濟損失按2一3倍向高烈度方向遞增，漳州市區直接經濟損失由6度至9度的比例關系為1 : 2 . 8 : 8 . 6 : 22 . 8 ;遭遇基本地震設防烈度（ 7度）時，漳州市區直接經濟損失約4 . 5億元，無家可歸人員約40000人，且以磚木結構和多層磚混結構的震害損失最大;地震造成的人員傷亡主要與建築物倒塌及嚴重破壞的程度和總面積以及震時的建築物室內人數密切相關，地震時無家可歸人員主要與住宅倒塌、嚴重破壞及中等破壞的程度和總面積以及城市人均居住面積密切相關。
  3. Boundary value problems for fuzzy differential equations

    模糊微分方程的邊值問題
  4. In the course of modeling, we present multi - step generalized gradient method and multi - stage curve fitting technique, prove convergence of multi - step generalized gradient method by using differential equation stable theory, analyze the error of multi - stage curve fitting technique by using inner space, creat knowledge base of water network system by using the maximum subordinate principle of and near - select principle of pattern recognition. at last we make the optimal running scheme of water network system based on heuristic search technique of artificial intelligence and global feedback immediate coordination method of large scale system theory

    在建立系統模型的過程中，提出了多步廣義梯度法和多層曲線擬合的建模方法，並用微分方程穩定性理論證明了多步廣度梯度法收斂性，用內積空間的有關知識對多層曲線擬合進行誤差分析;應用模糊數學中的最大隸屬度原則和模糊識別中的擇近原則和人工智慧中狀態空間表示法建立注水系統的知識庫;用人工智慧中的啟發式搜索技術和大系統理論中的具有全局反饋的直接協調法制定注水系統的優化運行方案。
  5. Firstly, the experience and the reason of vehicle hot axle engendering are analyzed. secondly, by utilizing the thermodynamic theory of hot axle box, the heat balance of vehicle alxe temperature field is analyzed. thirdly, the temperature rule in alxe box is studied through the two methods of linear regression and probability and fuzzy mathematics and the subject function of running heat, micro - heat, strong heat is built

    第一部分列車軸溫規律的研究，首先分析了車輛熱軸發生歷程和產生熱軸原因，其次應用車輛軸箱熱力學理論，對車輛軸箱溫度場進行了熱平衡分析，最後應用一元線性回歸及概率分析和模糊數學方法得出了運轉熱軸溫規律，並建立了運轉熱、微熱、強熱、激熱的隸屬函數。
  6. Fuzzy integral equations and boundary value problems for fuzzy differential equations

    模糊積分方程及模糊微分方程邊值問題
  7. The main research content of the article is involved as follows : ( 1 ) the research and discussion of the quantitative metallographic analysis methods and the measuring methods of micro hardness. ( 2 ) the application of digital image technique in metallographic image preprocess such as gray level transformation, dichotomy, noise eliminating, dilation and erosion, image enhancement, boundary detection, etc. the application of the wavelet and multi - resolution analysis in metallographic image procession to improve the measuring accuracy and efficiency. the application of the region growth and mathematical morphology in analyzing image parameters to improve the flexibility and exaction

    本文的主要研究內容： （ 1 ）定量金相分析和顯微硬度測量的方法研究； （ 2 ）利用數字圖像處理技術，實現金相圖像的灰度轉換、二值化、噪音消除、膨脹收縮、圖像增強、邊緣提取等預處理；引入小波理論、基於數學形態學的區域生長法對采樣圖像進行分析，實現了對採集圖像邊緣的有效提取，從而提高了測量精度； （ 3 ）開發了金相圖像分析系統的主體結構（硬體結構和軟體結構） ； （ 4 ）採用windows開發平臺的面向對象程序設計語言microsoftvisualc + +進行系統的模塊化設計； （ 5 ）提出了採用多模式的知識表示方法建立知識庫，應用正反推理、模糊數學模型、基於規則的模式匹配模型建立金相分析專家系統。
  8. Study work mainly is : part one, look back and look ahead the financial development history and present situation that derives market and the futuristic tendency, summarize domestic and international theory and method about venture capital investment, discuss establishment and develop the financial necessariness and important meaning of our country that derives market ; part two, establishthe relation between investment risk and the radom expectation effectiveness of investor ? verage stochastic dominance of asset profit ; part three, covari - ance matrix in mean - variance model is analysed with sensitivity analysis and fuzzy analysis ; part four, have looked back the concept of option, the price relation of option and black - scholes option price formula, have put forward option price formula of the discounted value of option present value ; part five, have looked back the financial concept and its classfication that financial derivatives risk, have summarized financial risk management theory, measured and assessed methods of financial derivatives risk

    主要研究工作為：第一章，回顧和展望金融衍生市場的發展歷史、現狀和未來，綜述國內外關于風險投資的理論與方法，論述建立和發展我國金融衍生市場的必要性及重要意義；第二章，建立投資者的隨機期望效用與投資風險之間的關系? ?平均隨機占優；第三章，均值方差模型協方差矩陣的靈敏度分析與模糊分析；第四章，回顧了期權的概念、期權的價格關系和black - scholes期權定價公式，提出了歐式看漲期權價格的折現值所滿足的微分方程；第五章，回顧了金融衍生品風險的概念及其分類，總結了金融衍生品的風險管理理論和金融衍生品風險計量和評估方法。
  9. Preprocessing of smoothing often brings about blurred image. in this paper, we add linear masks to the minutia preserving smoot - hing algorithm which based on solving a nonlinear diffusion equation. compared with other existing methods, this improved algorithm has better performance preprocessing of noisy images

    一般的平滑演算法往往因過度平滑使得圖像細節特徵模糊，針對這一情況，在傳統的基於偏微分方程的演算法中，加入對大麴率邊界點進行線性模板匹配的改進，對比現存的保邊界平滑演算法，實驗結果表明，改進的演算法優于其他演算法。
  10. This thesis invests the item to take the gauge of to stop halfway with item to be used as the research object with the risks, in the expatiate while risk is investing the operation " s oneself characteristics with the internality to operate the regulation pass the characteristic that analysis risk invest activity with risk invest make policy procedure, study, join together risk ' s invest, and go forwarded a quantity for sufficiently study, adopting fuzzy mathematics the analysis, analytic hierarchy process etc. the mathematics method the investment to invest item to high and new technique risk the decision with mic rocosmic and macroscopic level to proceeds to settle with the fixed amount " s research the many targets, and created to set up a high and new technique risked to invest the item to synthesize the valuation index sign the system with the model evaluation

    本論文以風險投資項目評估和項目中止作為研究對象，在闡述風險投資運作的自身特點和內在運作規律的同時，通過對風險投資活動和風險投資決策程序的分析、研究，結合風險投資的特徵，從宏觀和微觀層面上進行了充分的探討，採取模糊數學的數量分析、層次分析法等數學方法對高新技術風險投資項目的投資決策進行了定性和定量的研究，創建了一套高新技術風險投資項目的多目標綜合評估指標體系和模型評價。本論文的研究工作如下： （ 1 ）提出了在風險投資項目管理活動中樹立風險評估、實時監控和中止決策的思想，並給出了相應的管理流程與方法。
  11. The author uses black - scholes, cox, ross, rubinstein, trapezoidal fuzzy numbers, probability and stochastic calculus etc. real option provides a new thought - way and probability of venture capital value appraisal

    其中運用到了black ? scholes期權定價模型， cox 、 ross和rubinstein二項式模型，模糊數學中梯形模糊數字集合、概率論以及隨機微分過程等方法。
  12. It is not trivial generalization for the usual theory of the stochastic optimal control to study the stochastic optimal control problems. the above problems motivated the author to : ( 1 ) conquer the lack of the indirect computing methods for the uncertain linear programming to seek the direct computing method ; ( 2 ) conquer the singularity of stochastic or fuzzy factor in the usual uncertain programming models to give the hybrid programming models which contains stochastic and fuzzy parameters ; ( 3 ) further strengthen the applications of bsde in the stochastic optimal control to extend the related theories of the usual stochastic optimal control, and to enlarge the applied field

    以上問題和想法促使作者進行以下研究： （ 1 ）克服不確定線性規劃的計算需要轉化成等價的確定性（或清晰）數學規劃進行計算的不足，尋求直接計算的方法； （ 2 ）克服傳統不確定規劃模型中不確定因素的單一性，提出隨機和模糊混合的不確定規劃模型； （ 3 ）進一步強化倒向隨機微分方程在隨機不確定系統最優控制問題中的應用，實質性地推廣傳統的隨機最優控制相關理論，擴大隨機最優控制的應用領域，特別是在金融工作中的廣泛應用。
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