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Practical Method for Determining All the Minimum Solutions of Fuzzy Matrix Equation and Transitive Closure of Fuzzy Relation 被引量:2
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作者 阎家杰 赵万忠 《Chinese Quarterly Journal of Mathematics》 CSCD 1993年第4期99-103,共5页
In this paper,the new theory frame and practical methhod for determining all the minimum solutions of Fuzzy matrix equation and transitive closure of Fuzzy relation is described,and it has been carried out on the mier... In this paper,the new theory frame and practical methhod for determining all the minimum solutions of Fuzzy matrix equation and transitive closure of Fuzzy relation is described,and it has been carried out on the miero-computer quickly and accurately. 展开更多
关键词 fuzzy matrix equation minimum solution fuzzy relation transitive closure
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Algorithm of solutions for generalized nonlinear implicit quasivariational inclusions with fuzzy mappings
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作者 胡学刚 《Journal of Chongqing University》 CAS 2006年第1期36-41,共6页
A class of generalized implicit quasivariational inclusions with fuzzy mappings in Hilbert space is discussed in this paper which proves an existence theorem of the solutions and proposes a new iterative algorithm and... A class of generalized implicit quasivariational inclusions with fuzzy mappings in Hilbert space is discussed in this paper which proves an existence theorem of the solutions and proposes a new iterative algorithm and the convergence of the iterative sequence generated by the new algorithm. These results extend and improve some recent corresponding achievements. 展开更多
关键词 generalized nonlinear implicit quasivariational inclusion with fuzzy mappings existence theorem of solutions ITERATIVE
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The Time-Optimal Problems for Controlled Fuzzy R-Solutions
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作者 Andrej V. Plotnikov Tatyana A. Komleva Irina V. Molchanyuk 《Intelligent Control and Automation》 2011年第2期152-159,共8页
In the present paper, we show the some properties of the fuzzy R-solution of the control linear fuzzy differential inclusions and research the time-optimal problems for it.
关键词 fuzzy DIFFERENTIAL INCLUSIONS Control PROBLEMS Time-Optimal PROBLEMS fuzzy R-solution
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Improved non-dominated sorting genetic algorithm (NSGA)-II in multi-objective optimization studies of wind turbine blades 被引量:27
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作者 王珑 王同光 罗源 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第6期739-748,共10页
The non-dominated sorting genetic algorithm (NSGA) is improved with the controlled elitism and dynamic crowding distance. A novel multi-objective optimization algorithm is obtained for wind turbine blades. As an exa... The non-dominated sorting genetic algorithm (NSGA) is improved with the controlled elitism and dynamic crowding distance. A novel multi-objective optimization algorithm is obtained for wind turbine blades. As an example, a 5 MW wind turbine blade design is presented by taking the maximum power coefficient and the minimum blade mass as the optimization objectives. The optimal results show that this algorithm has good performance in handling the multi-objective optimization of wind turbines, and it gives a Pareto-optimal solution set rather than the optimum solutions to the conventional multi objective optimization problems. The wind turbine blade optimization method presented in this paper provides a new and general algorithm for the multi-objective optimization of wind turbines. 展开更多
关键词 wind turbine multi-objective optimization Pareto-optimal solution non-dominated sorting genetic algorithm (NSGA)-II
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Numerical Solution of Second-Orders Fuzzy Linear Differential Equation 被引量:2
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作者 Junyang An Xiaobin Guo 《Applied Mathematics》 2021年第11期1118-1125,共8页
In this paper, the numerical solution of the boundary value problem that is two-order fuzzy linear differential equations is discussed. Based on the generalized Hukuhara difference, the fuzzy differential equation is ... In this paper, the numerical solution of the boundary value problem that is two-order fuzzy linear differential equations is discussed. Based on the generalized Hukuhara difference, the fuzzy differential equation is converted into a fuzzy difference equation by means of decentralization. The numerical solution of the boundary value problem is obtained by calculating the fuzzy differential equation. Finally, an example is given to verify the effectiveness of the proposed method. 展开更多
关键词 fuzzy Numbers fuzzy Differential Equations fuzzy Difference Equation fuzzy Approximate solution
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Approximate Solution of Fuzzy Matrix Equations with LR Fuzzy Numbers
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作者 Xiaobin Guo Dequan Shang 《Advances in Pure Mathematics》 2012年第6期373-378,共6页
In the paper, a class of fuzzy matrix equations AX=B where A is an m × n crisp matrix and is an m × p arbitrary LR fuzzy numbers matrix, is investigated. We convert the fuzzy matrix equation into two crisp m... In the paper, a class of fuzzy matrix equations AX=B where A is an m × n crisp matrix and is an m × p arbitrary LR fuzzy numbers matrix, is investigated. We convert the fuzzy matrix equation into two crisp matrix equations. Then the fuzzy approximate solution of the fuzzy matrix equation is obtained by solving two crisp matrix equations. The existence condition of the strong LR fuzzy solution to the fuzzy matrix equation is also discussed. Some examples are given to illustrate the proposed method. Our results enrich the fuzzy linear systems theory. 展开更多
关键词 LR fuzzy NUMBERS MATRIX Analysis fuzzy MATRIX EQUATIONS fuzzy APPROXIMATE solution
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Exponential stability and periodic solution for fuzzy BAM Neural networks with time varying delays
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作者 XIANG Hong-jun WANG Jin-hua Department of Mathematics, Xiangnan University, Chenzhou 423000, China 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2009年第2期157-166,共10页
In this paper, a class of fuzzy BAM neural networks with time varying delays is discussed. By using the properties of M-matrix, Linear Matrix Inequality(LMI) approach and general Lyapunov-Krasovskii functional, some... In this paper, a class of fuzzy BAM neural networks with time varying delays is discussed. By using the properties of M-matrix, Linear Matrix Inequality(LMI) approach and general Lyapunov-Krasovskii functional, some new sufficient conditions are derived to ensure the existence of periodic solutions and the global exponential stability of the fuzzy BAM neural networks with time varying delays. These results have important significance in the design of global exponential stable BAM networks with delays. Moreover, an example is given to illustrate that the conditions of the results in the paper are feasible. 展开更多
关键词 fuzzy BAM neural network periodic solution exponential stability linear matrix inequality(LMI) Lyapunov-Krasovskii functional
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The Application of Synthetic Fuzzy Assessing Method in Measurement and Control System of Plating Solution Evaporator
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作者 周晓兵 费敏锐 陈维刚 《Journal of Donghua University(English Edition)》 EI CAS 2004年第3期134-138,共5页
The synthetic fuzzy assessing method is usually applied to sensory evaluation. The method has simple and reliable virtue, and it is consistent with objective evaluation results. Using this method, system status of pla... The synthetic fuzzy assessing method is usually applied to sensory evaluation. The method has simple and reliable virtue, and it is consistent with objective evaluation results. Using this method, system status of plating solution evaporator is evaluated, and the result is applied to compensate a fuzzy controller. Experimental results have shown the correctness and the validity of the proposed approach. 展开更多
关键词 Plating solution evaporator Synthetic fuzzy assessing method fuzzy control PC-BASED configuration software
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Modelling of the Slope Solute Loss Based on Fuzzy Neural Network Model
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作者 Xiaona Zhang Jie Feng +1 位作者 Zhen Hong Xiaona Rui 《Computer Systems Science & Engineering》 SCIE EI 2022年第8期677-688,共12页
In regards to soil macropores,the solute loss carried by overland flow is a very complex process.In this study,a fuzzy neural network(FNN)model was used to analyze the solute loss on slopes,taking into account the soi... In regards to soil macropores,the solute loss carried by overland flow is a very complex process.In this study,a fuzzy neural network(FNN)model was used to analyze the solute loss on slopes,taking into account the soil macropores.An artificial rainfall simulation experiment was conducted in indoor experimental tanks,and the verification of the model was based on the results.The characteristic scale of the macropores,the rainfall intensity and duration,the slope and the adsorption coefficient of ions,were chosen as the input variables to the Sugeno FNN model.The cumulative solute loss quantity on the slope was adopted as the output variable of the Sugeno FNN model.There were three membership functions,and the type of membership function was gbellmf(generalized bell membership function).The hybrid learning algorithm,which combines the back propagation algorithm with a least square method,was applied to train and optimize the network parameters,and the optimal network parameters were determined.The simulation results showed that the simulated values were consistent with the measured values. 展开更多
关键词 Slope solute loss soil macropores fuzzy neural network
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基于FUZZY-AHP-TOPSIS的高速公路穿越垃圾场处治方案优选
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作者 张建 严松宏 +2 位作者 唐学军 王永刚 孙纬宇 《兰州交通大学学报》 CAS 2024年第5期87-93,共7页
为解决兰州南绕城项目垃圾场处治的技术难题,基于模糊数学、层次分析法和逼近理想解排序法的基础上,建立了综合评判指标体系模型,对翻挖填筑、桥梁、孔内强夯和预应力管桩4种拟选方案进行方案决策。以经济、技术、可靠度为评判指标,通... 为解决兰州南绕城项目垃圾场处治的技术难题,基于模糊数学、层次分析法和逼近理想解排序法的基础上,建立了综合评判指标体系模型,对翻挖填筑、桥梁、孔内强夯和预应力管桩4种拟选方案进行方案决策。以经济、技术、可靠度为评判指标,通过层次分析法确定其权重向量,利用逼近理想解排序法对结果进行优先级排序,最终确定拟选方案的综合优越度。结果表明:4种拟选处治方案的优越度分别为0.785、1.536、1.327、2.560,即第四种处治方案(高强预应力管桩方案)最优,为垃圾场处治方案的优选及类似工程的建设者提供科学依据。 展开更多
关键词 垃圾场处治 综合评判 层次分析法 模糊数学 逼近理想解排序法
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Solution Set of the Fuzzy Relation Equa?
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作者 Zhao Deqi (Department of Mathematics,Central University for Nationalities,Beijing 100081) 《中央民族大学学报(自然科学版)》 1996年第1期54-56,共3页
本文提出λ半子空间的概念,论证了模糊关系方程XA=b的解集是λ半子空间。
关键词 模糊关系方程 解的结构 矢量空间 λ半子空间
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完备Brouwerian格上Fuzzy关系方程极小解存在的一个充分条件 被引量:11
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作者 王学平 张三华 冯山 《四川师范大学学报(自然科学版)》 CAS CSCD 1999年第6期627-630,共4页
在完备Brouwerian 格上证明如果方程∨i∈J( ai ∧xi) = b 的解集X2 非空且b 有不可约完全并既分解,则X∈X2 ,至少存在X2 的一个极小元X* 满足X* ≤X.
关键词 Brouwerian格 极小解 完备格 模糊关系方程
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格[0,1]上max-product型Fuzzy关系方程的一种求解方法 被引量:6
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作者 李裕梅 徐志军 《四川师范大学学报(自然科学版)》 CAS CSCD 2001年第6期553-556,共4页
在有限论域上给出了求解格 [0 ,1]上max product型Fuzzy关系方程的一种方法 .该方法对凡满足解集非空的max
关键词 fuzzy关系 fuzzy关系方程 解集 算法 max-product型
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无限@-Fuzzy关系方程解集的一些性质 被引量:3
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作者 夏嫦 王学平 屈小兵 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第3期284-287,共4页
讨论了[0,1]格上无限@-Fuzzy关系方程的解集,得到了其解集的一些性质,并给出了方程可达解存在的一个充要条件.
关键词 [0 1]格 无限@-fuzzy关系方程 可达解 不可达解 极大解
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完备Brouwerian格上有限@-Fuzzy关系方程有解的一个充要条件 被引量:5
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作者 王学平 李裕梅 《工程数学学报》 CSCD 北大核心 2004年第4期602-608,共7页
本文在论域为有限集时讨论了完备Brouwerian格上@-Fuzzy关系方程(其中@表示inf-α合成),给出了@-Fuzzy关系方程有解的一个充要条件并构造出了方程的极大解,进一步确定了方程的解集。
关键词 完备Brouwenan格 @-fuzzy关系方程 极大解 解集
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约束中具有Fuzzy参数的多目标规划(Ⅰ)——解的定义及其性质 被引量:1
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作者 辜介田 周荣喜 覃毅延 《南昌大学学报(理科版)》 CAS 北大核心 2002年第2期151-157,共7页
考察了约束函数中具有Fuzzy参数的多目标规划 (FPVP) ,首先引进Fuzzy集来描述 (FPVP)的约束 ,然后给出α-拟有效解 ,α -有效解的定义并讨论了其基本性质 ,最后举例说明本文的解与 [2
关键词 多目标规划 fuzzy fuzzy约束 fuzzy参数 α-拟有效解 α-有效解 fuzzy 约束函数
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完备Brouwerian格上Fuzzy关系方程极小解的一些性质 被引量:7
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作者 屈小兵 王学平 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第1期38-41,共4页
讨论了完备Brouwerian格上Fuzzy关系方程,当Fuzzy关系方程的解集非空时,首先给出了解集中的解是极小解的一个充要条件,然后得到了方程极小解的一些不变性,根据这些不变性可以由一个极小解构造出其他的一些极小解.
关键词 完备BROUWERIAN格 fuzzy关系方程 极小解
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[0,1]格上的无限@-Fuzzy关系方程的解集 被引量:3
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作者 舒乾宇 王学平 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第3期326-329,共4页
主要对[0,1]格上,论域无限时,@-Fuzzy关系方程(其中@表示inf-α合成)的解作了深入地讨论.从方程的系数出发,给出了存在可达解和不可达解的充要条件.进一步,在解集不空时,刻画了@-Fuzzy关系方程的解集的结构.
关键词 @-fuzzy关系方程 充要条件 极大解 解集
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格[0,1]上求解Fuzzy关系方程的一种方法 被引量:13
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作者 王学平 《高校应用数学学报(A辑)》 CSCD 北大核心 2000年第2期127-133,共7页
在有限论域上给出了一种求解格[0,1]上Fuzzy关系方程的方法.该方法对满足解集非空的Fuzzy关系方程均能准确无误地求出其所有的极小元.运算中除援引E.Sanchez定义的“α”算子计算最大解外,仅涉及比较[0,1]中两元的大小关系.
关键词 fuzzy关系方程 解集 算法
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完备Brouwerian格上无限@-Fuzzy关系方程的极大解问题 被引量:7
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作者 李裕梅 王平 《四川师范大学学报(自然科学版)》 CAS CSCD 2003年第3期232-235,共4页
在论域为无限集时讨论了完备Brouwerian格L上@ Fuzzy关系方程A@X=b(其中@表示inf α合成,A=(aij)I×J,I,J为无限指标集,b∈L),当b为完全交既约元时构造出了方程的极大解,当b有不可约完全交既分解时对方程的解集中的每一个解都找到... 在论域为无限集时讨论了完备Brouwerian格L上@ Fuzzy关系方程A@X=b(其中@表示inf α合成,A=(aij)I×J,I,J为无限指标集,b∈L),当b为完全交既约元时构造出了方程的极大解,当b有不可约完全交既分解时对方程的解集中的每一个解都找到了一个大于等于它的极大解. 展开更多
关键词 完备BROUWERIAN格 无限@-fuzzy关系方程 极大解
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