以下为句子列表：
英文: Based on the concept of the degree of optimality of each alternative with respect to each criterion, a weighted fuzzy performance matrix is transformed into a fuzzy singleton matrix to avoid the complexity and unreliable comparison of fuzzy numbers.
中文: 基于最优度概念，将权重模糊评价矩阵转化成模糊单一评价矩阵，避免传统模糊数之间比较的复杂性和不精确性。
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英文: Chapter five deals with some specializations of the simplex method and the development of optimality criteria in linear programming.
中文: 第五章处理一些专门的单纯形法和建立了线性规划的最优准则。
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英文: In addition, it assigns freight flow to optimality according to the tree-shape path that is closer rail practice.
中文: 此外，模型融合铁路车流树形径路特点，实现了规划年运量的优化配流。
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英文: Li-Ping Pang, Ming-Zheng Wang and Zun-Quan Xia, First order necessary optimality conditions for a class of nonsmooth generalized semi-infinite optimization problems.
中文: 董玉林，庞丽萍，夏重航，监督学习问题中的最优性条件与数值试验,高等学校计算数学学报.27(2005),362-367.
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英文: Modeling tools and techniques include linear, network, discrete and nonlinear optimization, heuristic methods, sensitivity and post-optimality analysis, decomposition methods for large-scale systems, and stochastic optimization.
中文: 模型建立工具和方法涵盖线性、网路、离散和非线性最佳化，启发式方法，灵敏度分析，事后最佳化分析，大规模系统的分解方法和随机最佳化。
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