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A New Fuzzy Multiobjective Geometric Programming in Double Sampling in Presence of Non-Response

机译:在非响应存在下双重采样的新模糊多目标几何规划

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摘要

Non-linear programming problems can be solved efficiently by geometric programming in which non-linear expressions can be expressed by an exponential or power functions. In this paper, Double Sampling Stratification (DSS) strategy is used in multivariate stratified population with unidentified strata weights, for optimum sampling design (OSD) in the presence of non-response to estimate the unidentified population means. The double sampling problem in the presence of non-response is formulated as Fuzzy Multiobjective Convex Programming Problem (FMOCPP). Then, we convert FMOCPP into Fuzzy Single Objective Convex Problem (FSOCP) by using membership function. Dual solution is obtained using LINGO Software by solving FSOCP. The optimum allocations of sample sizes of respondents and non- respondents for both the phases are obtained by applying dual solutions and primal-dual relationship theorem. The given technique is illustrated by projecting a numerical problem.
机译:通过几何编程可以有效地解决非线性编程问题,其中非线性表达式可以由指数或功率功能表示。在本文中,双采样分层(DSS)策略用于多变量分层群体,其具有未识别的地层重量,用于在存在不响应的情况下的最佳采样设计(OSD)以估计未识别的人口手段。在存在非响应存在中的双重采样问题被制定为模糊多目标凸编程问题(FMOCPP)。然后,我们使用隶属函数将FMOCPP转换为模糊单目标凸面问题(FSOCP)。通过解决FSOCP使用Lingo软件获得双解决方案。通过应用双解决方案和原始 - 双重关系定理,获得了对两个阶段的受访者和非受访者样本尺寸的最佳分配。通过投影数值问题来说明给定技术。

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