exact linear function 中文意思是什麼
exact linear function
解釋
精確線性函數-
A novel dynamic evolutionary clustering algorithm ( deca ) is proposed in this paper to overcome the shortcomings of fuzzy modeling method based on general clustering algorithms that fuzzy rule number should be determined beforehand. deca searches for the optimal cluster number by using the improved genetic techniques to optimize string lengths of chromosomes ; at the same time, the convergence of clustering center parameters is expedited with the help of fuzzy c - means ( fcm ) algorithm. moreover, by introducing memory function and vaccine inoculation mechanism of immune system, at the same time, deca can converge to the optimal solution rapidly and stably. the proper fuzzy rule number and exact premise parameters are obtained simultaneously when using this efficient deca to identify fuzzy models. the effectiveness of the proposed fuzzy modeling method based on deca is demonstrated by simulation examples, and the accurate non - linear fuzzy models can be obtained when the method is applied to the thermal processes
針對模糊聚類演算法不適應復雜環境的問題，提出了一種新的動態進化聚類演算法，克服了傳統模糊聚類建模演算法須事先確定規則數的缺陷.通過改進的遺傳策略來優化染色體長度，實現對聚類個數進行全局尋優;利用fcm演算法加快聚類中心參數的收斂;並引入免疫系統的記憶功能和疫苗接種機理，使演算法能快速穩定地收斂到最優解.利用這種高效的動態聚類演算法辨識模糊模型，可同時得到合適的模糊規則數和準確的前提參數，將其應用於控制過程可獲得高精度的非線性模糊模型 -
Details are as follows : we deal with properties of bilevel linear programming and prove the equivalence of bilevel linear programming and optimization over the efficient set. a class of multi - objective tow level programming, i. e. the upper - level is single objective and the lower - level is linear multi - objective, is mainly discussed. it can be converted into the optimization over the efficient set with parameter and an algorithm is given with its finite termination being proved ; when the upper - level is linear function, an exact penalty function algorithm is given
分層（分級）遞階系統是社會組織管理的主要形式，多層規劃是研究這類系統優化問題的基本模型，其鮮明的實際背景和廣泛的應用前景引起了人們的廣泛關注，成為一個新興的活躍的研究領域，本論文研究了二層規劃中的若干問題，主要工作如下：討論了二層線性規劃的性質，並證明了它與零有效集上優化問題的等價性；對一類二層多目標規劃（上層為單目標規劃、下層為線性多目標規劃的問題）進行了探討，將其轉化為含參變量的有效集上的優化問題，進而給出了一種演算法，並證明了該演算法的有限終止性；當上層為線性單目標時，給出了一種罰函數方法 -
In section 2, a certain linear fractional bilevel programming problem ( lfbp ) is introduced and studied in which the leader ' s objective function is a linear fractional function and the leader ' s constraints are linear, and the follower ' s programming is a linear programming with parameters. it is proved that, under certain conditions, the existences of the optimal solution to the problem ( lfbp ). under a fairly week condition, some results are explored concerned with an exact penalty function formulation of the problem ( lfbp )
首先給出了一些預備知識，並證明了在一定的條件下，問題（ lfbp ）解存在；然後在較弱的條件下給出了問題（ lfbp ）的一些有關恰當罰函數的結果；接著總結了問題（ lfbp ）的一些有關lagrange對偶的結果；最後利用例子說明了前面給出的結果，並通過例子說明所用的假設條件確實比現有常用的假設條件更弱。
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