TY - JOUR
T1 - New optimality conditions for multiobjective fuzzy programming problems
AU - Osuna-Gómez, R.
AU - Hernández-Jiménez, B.
AU - Chalco-Cano, Y.
AU - Ruiz-Garzón, G.
N1 - Publisher Copyright:
© 2020, University of Sistan and Baluchestan. All rights reserved.
PY - 2020/5/1
Y1 - 2020/5/1
N2 - In this paper we study fuzzy multiobjective optimization problems defined for n variables. Based on a new p-dimensional fuzzy stationary-point definition, necessary efficiency conditions are obtained. And we prove that these conditions are also sufficient under new fuzzy generalized convexity notions. Furthermore, the results are obtained under general differentiability hypothesis.
AB - In this paper we study fuzzy multiobjective optimization problems defined for n variables. Based on a new p-dimensional fuzzy stationary-point definition, necessary efficiency conditions are obtained. And we prove that these conditions are also sufficient under new fuzzy generalized convexity notions. Furthermore, the results are obtained under general differentiability hypothesis.
KW - Fuzzy generalized convexity
KW - Generalized differentiable fuzzy functions
KW - Multiobjective fuzzy optimization
UR - https://www.scopus.com/pages/publications/85084194657
U2 - 10.22111/ijfs.2020.5345
DO - 10.22111/ijfs.2020.5345
M3 - Article
AN - SCOPUS:85084194657
SN - 1735-0654
VL - 17
SP - 19
EP - 31
JO - Iranian Journal of Fuzzy Systems
JF - Iranian Journal of Fuzzy Systems
IS - 3
ER -