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New approach for solving intuitionistic fuzzy multi-objective transportation problem

机译:解决直觉模糊多目标运输问题的新方法

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Multi-objective transportation problem (MOTP) under intuitionistic fuzzy (IF) environment is analysed in this paper. Due to the fluctuation of market scenario, we assume that the transportation cost, the supply and the demand parameters are not always precise. Hence, the parameters are imprecise, i.e., they are IFnumbers. Considering the specific cut interval, the IF transportation cost matrix is converted to interval cost matrix in our proposed problem. Again, using the same concept, the IF supply and the IF demand of the MOTP are reduced to the interval form. Then the proposed MOTP is changed into the deterministic MOTP, whichincludes interval form of the objective functions. Two approaches, namely intuitionistic fuzzy programming and goal programming, are used to derive the optimal solutions of our proposed problem, and then the optimal solutions are compared. A numerical example is included to illustrate the feasibility and the applicability of the proposed problem. Finally, we present the conclusions with the future scopes of our study.
机译:本文分析了直觉模糊(IF)环境下的多目标运输问题(MOTP)。由于市场情景的波动,我们假设运输成本,供需参数并不总是精确的。因此,参数不精确,即它们是IF数字。考虑到特定的切割间隔,在我们提出的问题中,中频运输成本矩阵被转换为间隔成本矩阵。同样,使用相同的概念,将MOTP的IF供应和IF需求减少到间隔形式。然后将提出的MOTP转换为确定性的MOTP,其中包括目标函数的区间形式。直觉模糊规划和目标规划两种方法被用来导出我们提出的问题的最优解,然后对最优解进行比较。包括一个数值示例来说明所提出问题的可行性和适用性。最后,我们提出结论与我们的研究的未来范围。

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