Title
On invex fuzzy mappings and fuzzy variational-like inequalities
Date Issued
01 August 2012
Access level
metadata only access
Resource Type
journal article
Author(s)
Universidad de Tarapacá
Abstract
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. © 2012 Elsevier B.V.
Start page
84
End page
98
Volume
200
Language
English
OCDE Knowledge area
Matemáticas
Subjects
Scopus EID
2-s2.0-84861022620
Source
Fuzzy Sets and Systems
ISSN of the container
01650114
Sponsor(s)
The research in this paper has been partially supported by Ministerio de Ciencia e Innovación, Spain, through Grant MTM2010-15383 and by Dipog-UTA 4731-11. ∗Corresponding author. E-mail address: ychalco@uta.cl (Y. Chalco-Cano).
Sources of information:
Directorio de Producción Científica
Scopus