Title
A note on generalized convexity for fuzzy mappings through a linear ordering
Date Issued
16 November 2013
Access level
metadata only access
Resource Type
journal article
Author(s)
Universidad de Tarapacá
Publisher(s)
Elsevier B.V.
Abstract
In this paper, we study generalized convexity for fuzzy mappings that are defined through a linear ordering on the space of fuzzy intervals. On top of the concepts of convexity, preinvexity and prequasiinvexity, which have been introduced previously by other authors, we now introduce the concept of invex fuzzy mappings. For this purpose, we first consider the notion of strongly generalized differentiability for fuzzy mappings and we establish new properties thereof. Then, we introduce the ith strongly generalized partial derivative of a fuzzy function. After that, we present new characterizations for convex and invex fuzzy mappings. Finally, we study local-global minimum properties for convex and invex fuzzy mappings. © 2013 Elsevier B.V.
Start page
70
End page
83
Volume
231
Language
English
OCDE Knowledge area
Matemáticas
Subjects
Scopus EID
2-s2.0-84885666779
Source
Fuzzy Sets and Systems
ISSN of the container
01650114
Sponsor(s)
The research in this paper has been partially supported by Fondecyt-Chile 1120665 and 1120674, and by Ministerio de Ciencia e Innovación, Spain, through Grant No. MTM2010-15383. ∗Corresponding author. Tel.: +56 58 2230334. E-mail address: ychalco@uta.cl (Y. Chalco-Cano).
Sources of information:
Directorio de Producción Científica
Scopus