Approaches to building piecewise linear membership functions in nonlinear fuzzy programming

WEN Bo; LI Hongguang

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Approaches to building piecewise linear membership functions in nonlinear fuzzy programming

更新时间：2025-12-10

- Approaches to building piecewise linear membership functions in nonlinear fuzzy programming
- CIESC Journal Issue 8, Pages: 2258-2264(2011)
- 作者机构：
  
  北京化工大学信息科学与技术学院,北京,100029
- 作者简介：
- 基金信息：
- DOI：
  CLC： P182
- Online First：05 August 2011，
  
  Published：05 August 2011
- 稿件说明：
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WEN Bo, LI Hongguang. Approaches to building piecewise linear membership functions in nonlinear fuzzy programming[J]. CIESC Journal, 2011, (8): 2258-2264.
DOI：

WEN Bo, LI Hongguang. Approaches to building piecewise linear membership functions in nonlinear fuzzy programming[J]. CIESC Journal, 2011, (8): 2258-2264. DOI：

摘要

首先给出了模糊规划中单、双边非线性隶属函数的构建技术。为了解决非线性模糊规划的求解困难问题，进一步提出了一种针对这两类非线性隶属函数进行分段线性化的方法，由高斯取整函数计算出非线性隶属函数的离散点，再根据决策者选择的基准点得到分段线性的隶属函数。构建了相应的模糊规划的规范求解形式，并对数值实例进行了测试，验证了其有效性。

Abstract

Initially

the techniques to construct unilateral and bilateral nonlinear membership functions involved in fuzzy programming are introduced.Motivated by readily solving nonlinear fuzzy programming problems

this paper subsequently presents novel approaches to convert the nonlinear membership functions to piecewise linear ones.Therein

Gaussian integral functions are employed to calculate the discrete points

which are then offered to decision makers for benchmark options to build the piecewise linear membership functions.Finally

the formulations of the corresponding fuzzy programming are presented

along with a numerical example studied to demonstrate the effectiveness of the contribution.

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