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

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...

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Bibliographic Details
Published in:Chinese journal of chemical engineering Vol. 22; no. 4; pp. 411 - 417
Main Author: 闻博 李宏光
Format: Journal Article
Language:English
Published: Elsevier B.V 01.04.2014
Subjects:
Chemical engineering
Computation
Fuzzy
Fuzzy logic
fuzzy nonlinear programming
Fuzzy set theory
Mathematical analysis
Mathematical models
modeling
Nonlinear programming
piecewise linear membership functions
二进制
分段线性
模糊非线性规划
计算复杂性
配方
隶属函数
piecewise linear membership functions
modeling
fuzzy nonlinear programming
ISSN:1004-9541, 2210-321X
Online Access:Get full text
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Summary: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.
Bibliography: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.
WEN Bo ,LI Hongguang （School of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China）
11-3270/TQ
fuzzy nonlinear programming, piecewise linear membership functions, modeling
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1004-9541
2210-321X
DOI:10.1016/S1004-9541(14)60039-2