Extended Duality in Fuzzy Optimization Problems
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-23
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Duality theorem is an attractive approach for solving fuzzy optimization problems.
However, the duality gap is generally nonzero for nonconvex problems.
So far, most of the studies focus on continuous variables in fuzzy optimization problems.
And, in real problems and models, fuzzy optimization problems also involve discrete and mixed variables.
To address the above problems, we improve the extended duality theory by adding fuzzy objective functions.
In this paper, we first define continuous fuzzy nonlinear programming problems, discrete fuzzy nonlinear programming problems, and mixed fuzzy nonlinear programming problems and then provide the extended dual problems, respectively.
Finally we prove the weak and strong extended duality theorems, and the results show no duality gap between the original problem and extended dual problem.
American Psychological Association (APA)
Zou, Tingting. 2015. Extended Duality in Fuzzy Optimization Problems. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1074829
Modern Language Association (MLA)
Zou, Tingting. Extended Duality in Fuzzy Optimization Problems. Mathematical Problems in Engineering No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1074829
American Medical Association (AMA)
Zou, Tingting. Extended Duality in Fuzzy Optimization Problems. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1074829
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074829