An Approach to Formulation of FNLP with Complex Piecewise Linear Membership Functions

闻博; 李宏光

doi:10.1016/S1004-9541(14)60039-2

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An Approach to Formulation of FNLP with Complex Piecewise Linear Membership Functions

催化、动力学与反应工程 | Updated：2026-01-06

- An Approach to Formulation of FNLP with Complex Piecewise Linear Membership Functions
- An Approach to Formulation of FNLP with Complex Piecewise Linear Membership Functions
- 中国化学工程学报（英文版） 2014年22卷第4期页码：411-4171004-954160039-2
- Affiliations：
  
  School of Information Science and Technology, Beijing University of Chemical Technology,Beijing,China,100029
- Author bio：
- Funds：
- DOI：10.1016/S1004-9541(14)60039-2
  中图分类号：
- 纸质出版：2014
- Accepted：
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闻博, 李宏光. An Approach to Formulation of FNLP with Complex Piecewise Linear Membership Functions[J]. 中国化学工程学报（英文版）, 2014,22(4):411-4171004-954160039-2.

WEN Bo, LI Hongguang. An Approach to Formulation of FNLP with Complex Piecewise Linear Membership Functions[J]. Chin.J.Chem.Eng., 2014, 22(4): 411-417.
闻博, 李宏光. An Approach to Formulation of FNLP with Complex Piecewise Linear Membership Functions[J]. 中国化学工程学报（英文版）, 2014,22(4):411-4171004-954160039-2. DOI： 10.1016/S1004-9541(14)60039-2.

WEN Bo, LI Hongguang. An Approach to Formulation of FNLP with Complex Piecewise Linear Membership Functions[J]. Chin.J.Chem.Eng., 2014, 22(4): 411-417. DOI： 10.1016/S1004-9541(14)60039-2.

摘要

Abstract

Traditionally

extra binary variables are demanded to formulate a fuzzy nonlinear programming (FNLP) problem with piecewise linear membership functions (PLMFs). However

this kind of methodology usually suffers increasing computational burden associated with formulation and solution

particularly in the face of complex PLMFs. Motivated by these challenges

this contribution introduces a novel approach free of additional binary variables to formulate FNLP with complex PLMFs

leading to superior performance in reducing computational complexity as well as simplifying formulation. A depth discussion about the approach is conducted in this paper

along with a numerical case study to demonstrate its potential benefits.

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