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首页> 外文期刊>International Journal of Engineering Research and Applications >An Interval-Valued Method For Solving Fuzzy Multi-Level Multi-Objective Integer Fractional Programming Problem
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An Interval-Valued Method For Solving Fuzzy Multi-Level Multi-Objective Integer Fractional Programming Problem

机译:一种求解模糊多级多目标整数分数规划问题的区间值方法

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This paper presents an interval-valued method to solve fuzzy multi-level multi-objective integer fractional programming problem (F-MMIFP). The problem under consideration involves fuzzy parameters in the objective functions, in the left-hand side and in the right-hand side of the constraints. The suggested method depends on the concept of the α-level set of the fuzzy numbers. The -MMIFP problem can be converted to interval-valued multi-level multi-objective integer fractional programming problem (IV-MMIFP), which can be transformed to interval-valued multilevel single objective integer fractional programming problem (IV-MSIFP) by using the nonnegative weighting sum approach. Then, this resulting problem can be rewritten in the form of real-valued multi-level single objective integer fractional programming problem (RV-MSIFP) using the interval-valued optimization technique together with the convex linear combination of the first and least point of the intervals in the constraints. Finally,....
机译:本文提出了一种区间值方法来解决模糊多级多目标整数分数规划问题(F-MMIFP)。所考虑的问题涉及目标函数中约束左侧和右侧的模糊参数。建议的方法取决于模糊数的α级集合的概念。 -MMIFP问题可以转换为区间值多级多目标整数分数规划问题(IV-MMIFP),可以通过使用-MMIFP问题将其转换为区间值多级单目标整数分数规划问题(IV-MSIFP)。非负加权和法。然后,可以使用区间值优化技术以及该函数的第一个点和最小点的凸线性组合,以实值多级单目标整数分数规划问题(RV-MSIFP)的形式重写此结果问题。约束中的间隔。最后,....

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