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.
Cite
CITATION STYLE
Rufián-Lizana, A., Chalco-Cano, Y., Ruiz-Garzón, G., & Jiménez-Gamero, M. D. (2018). A Note on Generalized Convexity for Fuzzy Mappings Through a Linear Ordering. In Studies in Systems, Decision and Control (Vol. 142, pp. 721–731). Springer International Publishing. https://doi.org/10.1007/978-3-319-73848-2_66
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