TY - JOUR
T1 - Characterizations of generalized differentiable fuzzy functions
AU - Chalco-Cano, Y.
AU - Rodríguez-López, R.
AU - Jiménez-Gamero, M. D.
N1 - Publisher Copyright:
© 2015 Elsevier B.V. All rights reserved.
PY - 2016/7/15
Y1 - 2016/7/15
N2 - This article deals with generalized differentiable fuzzy functions. Specifically, we give some characterizations of generalized Hukuhara differentiable fuzzy functions through the differentiability of their endpoint functions. Then, we introduce a differentiability concept that is more general than the generalized Hukuhara differentiability and extend the above characterization to this new type of differentiability as well as to g-differentiable fuzzy functions. These characterizations are useful tools for the calculus of derivatives of fuzzy functions.
AB - This article deals with generalized differentiable fuzzy functions. Specifically, we give some characterizations of generalized Hukuhara differentiable fuzzy functions through the differentiability of their endpoint functions. Then, we introduce a differentiability concept that is more general than the generalized Hukuhara differentiability and extend the above characterization to this new type of differentiability as well as to g-differentiable fuzzy functions. These characterizations are useful tools for the calculus of derivatives of fuzzy functions.
KW - Differentiable fuzzy functions
KW - Fuzzy functions
KW - Generalized Hukuhara differentiability
KW - g-Derivative
UR - https://www.scopus.com/pages/publications/84945544176
U2 - 10.1016/j.fss.2015.09.005
DO - 10.1016/j.fss.2015.09.005
M3 - Article
AN - SCOPUS:84945544176
SN - 0165-0114
VL - 295
SP - 37
EP - 56
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
ER -