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首页> 外文期刊>The Journal of fuzzy mathematics >An Algorithm for Solving Unbalanced Intuitionistic Fuzzy Assignment Problem Using Triangular Intuitionistic Fuzzy Number
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An Algorithm for Solving Unbalanced Intuitionistic Fuzzy Assignment Problem Using Triangular Intuitionistic Fuzzy Number

机译：三角直觉模糊数求解不平衡直觉模糊分配问题的算法

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摘要

In solving real life assignment problem, we often face the state of uncertainty as well as hesitation due to varies uncontrollable factors. To deal with uncertainty and hesitation many authors have suggested the intuitionistic fuzzy representation for the data. In this paper, computationally a simple method is proposed to find the optimal solution for an unbalanced assignment problem under intuitionistic fuzzy environment. In conventional assignment problem, cost is always certain. This paper develops an approach to solve the unbalanced assignment problem where the time/cost/profit is not in deterministic numbers but imprecise ones. In this assignment problem, the elements of the cost matrix are represented by the triangular intuitionistic fuzzy numbers. The existing Ranking procedure of Varghese and Kuriakose is used to transform the unbalanced intuitionistic fuzzy assignment problem into a crisp one so that the conventional method may be applied to solve the AP. Finally the method is illustrated by a numerical example which is followed by graphical representation and discussion of the finding.
机译：在解决现实生活中的分配问题时，由于各种不可控因素，我们经常面临不确定性以及犹豫的状态。为了应对不确定性和犹豫，许多作者提出了数据的直觉模糊表示。本文提出了一种计算简单的方法来寻找直觉模糊环境下不平衡分配问题的最优解。在常规分配问题中，成本始终是确定的。本文提出了一种解决时间/成本/利润不是确定数而是不精确数的不平衡分配问题的方法。在这个分配问题中，成本矩阵的元素由三角直觉模糊数表示。利用现有的Varghese和Kuriakose排序程序将不平衡的直觉模糊分配问题转化为一种清晰的问题，从而可以将常规方法用于求解AP。最终，通过一个数字示例说明了该方法，随后是图形表示和对发现的讨论。

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