Transportation plays a major role in the industrial and corporate world and so as uncertainty. Several ways have been given in the literature to deal with the imprecision originated from various uncontrollable factors and conditions. In this paper, we consider transportation problems with uncertainty in transportation costs and propose an alternate algorithm to find its initial basic feasible solution. The grade value for the zero costs is defined and is used to find the initial solution. Numerical examples with transportation costs represented by different kinds of fuzzy numbers have been added to illustrate the proposed methodology. A comparison of the obtained results with those obtained by the existing ones indicates that the proposed algorithm yields better results than the existing methods of finding the initial basic feasible solution like fuzzy north-west method, fuzzy least cost method and the fuzzy Vogel’s approximation method.

中文翻译：

---

第一类不确定运输问题的初始基本可行方案的替代方案

运输在工业和企业界以及不确定性中起着重要作用。文献中已经给出了几种方法来处理源自各种不可控因素和条件的不精确性。在本文中，我们考虑了运输成本不确定的运输问题，并提出了另一种算法来找到其最初的基本可行解。零成本的等级值已定义，并用于查找初始解决方案。增加了用不同类型的模糊数表示运输成本的数值示例，以说明所提出的方法。