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

作者：Wen Bo; Li Hongguang^*

来源：Chinese Journal of Chemical Engineering, 2014, 22(4): 411-417.

DOI：10.1016/S1004-9541(14)60039-2

• fuzzy nonlinear programming
• piecewise linear membership functions
• modeling

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.

• 出版日期2014-4
• 单位北京化工大学