TY - JOUR
T1 - On invex fuzzy mappings and fuzzy variational-like inequalities
AU - Rufián-Lizana, A.
AU - Chalco-Cano, Y.
AU - Osuna-Gómez, R.
AU - Ruiz-Garzón, G.
PY - 2012/8/1
Y1 - 2012/8/1
N2 - In this paper, we first show the need for introducing invex fuzzy mappings. After that, we show that the concept of invex fuzzy mapping previously given by Wu and Xu are very restrictive and the examples presented there are not correct. Then, we present more general concepts of invex and incave fuzzy mappings involving strongly generalized differentiable fuzzy mapping. Finally, we show that the results obtained by Wu and Xu on the relationship between fuzzy variational-like inequalities and fuzzy optimization problems are still valid using these new concepts.
AB - In this paper, we first show the need for introducing invex fuzzy mappings. After that, we show that the concept of invex fuzzy mapping previously given by Wu and Xu are very restrictive and the examples presented there are not correct. Then, we present more general concepts of invex and incave fuzzy mappings involving strongly generalized differentiable fuzzy mapping. Finally, we show that the results obtained by Wu and Xu on the relationship between fuzzy variational-like inequalities and fuzzy optimization problems are still valid using these new concepts.
KW - Fuzzy optimization
KW - Fuzzy variational-like inequality
KW - Invex fuzzy mappings
UR - https://www.scopus.com/pages/publications/84861022620
U2 - 10.1016/j.fss.2012.02.001
DO - 10.1016/j.fss.2012.02.001
M3 - Article
AN - SCOPUS:84861022620
SN - 0165-0114
VL - 200
SP - 84
EP - 98
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
ER -