SCI和EI收录∣中国化工学会会刊

Chin.J.Chem.Eng. ›› 2014, Vol. 22 ›› Issue (4): 411-417.DOI: 10.1016/S1004-9541(14)60039-2

• PROCESS SYSTEMS ENGINEERING AND PROCESS SAFETY • Previous Articles     Next Articles

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

WEN Bo, LI Hongguang   

  1. School of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China
  • Received:2012-10-23 Revised:2013-01-24 Online:2014-04-04 Published:2014-04-28

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

闻博, 李宏光   

  1. School of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China
  • 通讯作者: LI Hongguang

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.

Key words: fuzzy nonlinear programming, piecewise linear membership functions, modeling

摘要: 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.

关键词: fuzzy nonlinear programming, piecewise linear membership functions, modeling