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Optimality conditions for fuzzy optimization in several variables under generalized differentiability.

Authors :
Qiu, Dong
Ouyang, Chenxi
Source :
Fuzzy Sets & Systems. Apr2022, Vol. 434, p1-19. 19p.
Publication Year :
2022

Abstract

After giving a calculation formula for the g-derivative for a fuzzy-valued function with unilateral derivatives of the endpoint functions of level sets and characterizing the partial order relations between two fuzzy intervals by their generalized difference, we present the optimality conditions of weak LU-minimum solutions for fuzzy optimization problems by using the partial generalized differentiability and directional generalized differentiability. The optimization conditions obtained in this article extend the results in the literature. Examples are also given to illustrate the main theorems. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*SET-valued maps
*SET functions

Details

Language :
English
ISSN :
01650114
Volume :
434
Database :
Academic Search Index
Journal :
Fuzzy Sets & Systems
Publication Type :
Academic Journal
Accession number :
155628805
Full Text :
https://doi.org/10.1016/j.fss.2021.05.006