About Us   |   Contact Us
An International Publisher for Academic and Scientific Journals
Author Login 
 Author Login
Submit Manuscript
Join Membership
Join As Reviewer
Join As Editor
Pay Publication Fee
Subscribe Hard Copy
Scholars Journal of Physics, Mathematics and Statistics | Volume-10 | Issue-02
The KKT Optimality Conditions and Duality for Constrained Programming Problem with Generalized α- Convex Fuzzy Functions
Juwen Li, Zezhong Wu, Rong Zhou, Shengyu He
Published: Feb. 25, 2023 | 173 137
DOI: 10.36347/sjpms.2023.v10i02.003
Pages: 63-86
Downloads
Abstract
This paper mainly studies the mixed constraint interval programming problem under the generalized convex fuzzy mapping. Firstly, this paper give the concepts of fuzzy mappings, such as quasiconvex, strictly quasiconvex, pseudoconvex and strictly pseudoconvex. Then, the relation of generalized convex fuzzy mapping is studied and some properties are obtained. Finally, the necessary and sufficient KKT conditions are given, and the duality problem is established. The weak duality, strong duality and inverse duality theorem of fuzzy interval programming are proved.