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Cost-volume-profit analysis under uncertainty: a model with fuzzy estimators based on confidence intervals

机译:不确定性下的成本量利润分析:基于置信区间的带有模糊估计量的模型

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摘要

In this paper we express the uncertainty existing in cost-volume-profit analysis via a new method that constructs fuzzy estimators for the parameters of a given probability distribution function using statistical data. First we present a fuzzy function for the cost and we search for the optimal solution among alternatives as Finch and Gavirneni [2006, International Journal of Production Research, 44 (20), 4329-4342] do, but here we use fuzzy estimators for the variable costs. As a consequence, we formulate a fuzzy number that represents the difference between the costs of the alternatives. Furthermore, we consider conditions of 'complete' uncertainty when a company needs to choose between two products and we express the profits and the risk via fuzzy estimators. Finally, under the same conditions of uncertainty we express the breakeven point when the income equals the total cost.
机译:在本文中,我们通过一种新方法来表达成本-数量-利润分析中存在的不确定性,该新方法使用统计数据构造给定概率分布函数的参数的模糊估计量。首先,我们为成本提供了一个模糊函数,然后我们在替代方案中寻找最佳解决方案,如Finch和Gavirneni [2006,International Journal of Production Research,44(20),4329-4342]所做的那样,但是在这里,我们将模糊估计器用于可变成本。因此,我们制定了一个模糊数,表示替代品成本之间的差异。此外,当公司需要在两种产品之间进行选择时,我们会考虑“完全”不确定性的条件,并通过模糊估计量来表达利润和风险。最后,在不确定性相同的条件下,当收入等于总成本时,我们表示收支平衡点。

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