Title
A Note on Generalized Convexity for Fuzzy Mappings Through a Linear Ordering
Date Issued
01 January 2018
Access level
metadata only access
Resource Type
book part
Author(s)
Universidad de Tarapacá
Publisher(s)
Springer International Publishing
Abstract
In De Campos Ibáñez and González-Muñoz (Fuzzy Sets Syst 29:145–154, 1989, [6]), Goestschel and Voxman (Fuzzy Sets Syst 18:31–43, 1986, [7]) the authors considered a linear ordering on the space of fuzzy intervals. For each fuzzy mapping (fuzzy interval-valued mapping) F, based on the aforementioned linear ordering, they introduced a real-valued function TF on the domain of the fuzzy mapping F. Recently, Chalco-Cano et al. (Fuzzy Sets Syst 231:70–83, 2013, [4]) have studied the relationship between the generalized Hukuhara differentiability of a fuzzy mapping F (G-differentiability, for short) and the differentiability of TF, and some properties of local-global minima. This paper studies such properties for fuzzy mappings, using new concepts which generalize the existing ones.
Start page
721
End page
731
Volume
142
Language
English
OCDE Knowledge area
Matemáticas
Scopus EID
2-s2.0-85042942544
Resource of which it is part
Studies in Systems, Decision and Control
ISSN of the container
21984182
Sponsor(s)
Acknowledgements The research in this paper has been partially supported by Fondecyt-Chile 1151154, and by the Ministerio de Economía y Competitividad, Spain, through Grant MTM2015-66185-P.
Sources of information:
Directorio de Producción Científica
Scopus