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首页> 外文期刊>Journal of Uncertainty Analysis and Applications >Expectations of the reductions for type-2 trapezoidal fuzzy variables and its application to a multi-objective solid transportation problem via goal programming technique
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Expectations of the reductions for type-2 trapezoidal fuzzy variables and its application to a multi-objective solid transportation problem via goal programming technique

机译：基于目标规划技术的2型梯形模糊变量减少的期望及其在多目标固体运输问题中的应用

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摘要

In this paper, based on the concepts of credibility measure and expectation theory, we derive the expectation formulae for the three reductions of a type-2 trapezoidal fuzzy variable (T2TrFV), which are attained by adopting the critical value (CV) reduction methods. We minimize the total transportation cost and the total transportation time over a single layered distribution system consisting of vendors and customers represented as a multi-objective solid transportationproblem. To portray the uncertainty in a real life choice environment, we consider the unit cost of transportation, demands, availabilities, conveyance capacities, unit transportation time and unit loading and unloading time as T2TrFVs. The corresponding deterministic model, which is obtained by the application of expectation formulas deduced earlier, is converted to a single objective optimization problem using goal programming technique and weighted sum method via the soft computing technique—generalized reduced gradient (LINGO-14.0). A numerical experiment is finally illustrated and corresponding graphical representations are provided.
机译：本文基于可信度度量和期望理论的概念，推导了采用临界值（CV）折减法获得的2型梯形模糊变量（T2TrFV）的三个折减的期望公式。我们将由卖方和客户组成的单层分销系统上的总运输成本和总运输时间降至最低，这是一个多目标固体运输问题。为了描述现实生活中选择环境中的不确定性，我们将运输的单位成本，需求，可用性，运输能力，单位运输时间以及单位装卸时间视为T2TrFV。通过应用先前推导的期望公式获得的相应确定性模型，使用目标编程技术和加权和方法通过软计算技术-广义归一化梯度（LINGO-14.0）转换为单个目标优化问题。最后说明了一个数值实验，并提供了相应的图形表示。

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