| 系数为直觉梯形模糊数的模糊线性规划 |
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| 引用本文： | 秦泽健,曹炳元. 系数为直觉梯形模糊数的模糊线性规划[J]. 广州大学学报(自然科学版), 2013, 0(5): 15-18 |
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| 作者姓名： | 秦泽健 曹炳元 |
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| 作者单位： | 广州大学数学与信息科学学院,广东广州510006 |
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| 摘 要： | 研究直觉梯形模糊数，并引入以直觉梯形模糊数为系数的线性规划问题，利用直觉梯形模糊数的加权期望值对直觉梯形模糊数进行排序，将直觉梯形模糊数与实数对应，把原规划转化成为经典的线性规划问题，进而得到最优解，同时加入4个综合评估系数作为对决策人的主观决策的评价．最后给出数值例子证明该方法的可行性与有效性．
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| 关 键 词： | 直觉梯形模糊数 加权期望值 模糊线性规划 评价系数 |
Linear programming with intuitionistic trapezoidal fuzzy coefficients |
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| QIN Ze-jian,CAO Bing-yuan. Linear programming with intuitionistic trapezoidal fuzzy coefficients[J]. Journal og Guangzhou University:Natural Science Edition, 2013, 0(5): 15-18 |
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| Authors: | QIN Ze-jian CAO Bing-yuan |
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| Affiliation: | (School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China) |
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| Abstract: | Introduce intuitionistic trapezoidal fuzzy nmnber and study linear programming problems with intuitionistic trapezoidal fuzzy coefficients. Then to sequence the intuitionistic trapezoidal fuzzy numbers by comparing their weighted fuzzy expectation. So the fuzzy numbers are equal to original numbers. Then transform linear programming problems with intuitionistic trapezoidal fuzzy coefficients into a classic linear programming and get the optimal solution. Four comprehensive evaluation numbers are given to evaluate decision makers. Finally, we show the feasibility and effectiveness of the method by a numerical example. |
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| Keywords: | intuitionistic trapezoidal fuzzy number weighted fuzzy expectation linear programming with fuzzycoefficients comprehensive evaluation number |
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