[1] L.C. Barros, L.T. Gomes, P.A. Tonelli, Fuzzy differential equations: an approach via fuzzification
of the derivative operator, Fuzzy Sets and Systems 230 (2013) 39–52.
[2] B. Bede, Mathematics of Fuzzy Sets and Fuzzy Logic, Studies in Fuzziness and Soft Computing,
295, Springer, Heidelberg, 2013.
[3] B. Bede, S.G. Gal, Generalizations of the differentiability of fuzzy-number-valued functions with
applications to fuzzy differential equations, Fuzzy Sets and Systems 151 (2005) 581–599.
[4] B. Bede, S.G. Gal, Solutions of fuzzy differential equations based on generalized differentiability,
Commun. Math. Anal. 9 (2010) 22–41.
[5] B. Bede, L. Stefanini, Generalized differentiability of fuzzy-valued functions, Fuzzy Sets and Sys-
tems 230 (2013) 119–141.
[6] A. Bencsik, B. Bede, J. Tar, J. Fodor, Fuzzy differential equations in modeling hydraulic differ-
ential servo cylinders, Third Romanian-Hungarian Joint Symposium on Applied Computational
Intelligence, SACI, Timisoara, Romania, 2006.
[7] J.J. Buckley, T. Feuring, Fuzzy differential equations, Fuzzy Sets and Systems 110 (2000), 43–54.
[8] Y. Chalco-Cano, W.A. Lodwick, B. Bede, Single level constraint interval arithmetic, Fuzzy Sets
and Systems 257 (2014), 146–168.
[9] Y. Chalco-Cano, H. Rom´an-Flores, On new solutions of fuzzy differential equations, Chaos Solitons
Fractals 38 (2008) 112–119.
[10] Y. Chalco-Cano, H. Rom´an-Flores, Comparison between some approaches to solve fuzzy differen-
tial equations, Fuzzy Sets and Systems 160 (2009) 1517–1527.
[11] Y. Chalco-Cano, H. Rom´an-Flores, Some remarks on fuzzy differential equations via differential
inclusions, Fuzzy Sets and Systems 230 (2013) 3–20.
[12] Y. Chalco-Cano, H. Rom´an-Flores, M. Rojas-Medar, O.R. Saavedra, M.D. Jim´enez-Gamero, The
extension principle and a decomposition of fuzzy sets, Inform. Sci. 177 (2007) 5394–5403.
[13] Y. Chalco-Cano, A. Rufi´an-Lizana, H. Rom´an-Flores, M.D. Jim´enez-Gamero, Calculus for
interval-valued functions using generalized Hukuhara derivative and applications, Fuzzy Sets and
Systems 219 (2013) 49–67.
[14] P. Diamond, Time-dependent differential inclusions, cocycle attractors and fuzzy differential equa-
tions, IEEE Trans. Fuzzy Syst. 7 (1999) 734–740.
[15] P. Diamond, Stability and periodicity in fuzzy differential equations, IEEE Trans. Fuzzy Syst. 8
(2000), 583–590.
[16] D. Dubois, H. Prade, Operations on fuzzy numbers, Internat. J. Systems Sci. 9 (1978), 613–626.
[17] R. E. Giachetti, R. E. Young, A parametric representation of fuzzy numbers and their arithmetic
operators, Fuzzy Sets and Systems 91 (1997), 185–202.
[18] R. Goetschel Jr., W. Voxman, Elementary fuzzy calculus, Fuzzy Sets and Systems 18 (1986) 31–43.
[19] L.T. Gomes, L.C. Barros, A note on the generalized difference and the generalized differentiability,
Fuzzy Sets and Systems 280 (2015) 142–145.
[20] M. Heidari, M. Ramezanzadeh, A.H. Borzabadi, O.S. Fard, Solutions to fuzzy variational problems:
necessary and sufficient conditions, Int. J. Model. Identif. Control. 28 (2017) 187–198.
[21] M. Heidari, M.R. Zadeh, O.S. Fard, A.H. Borzabadi, On unconstrained fuzzy-valued optimization
problems, Int. J. Fuzzy Syst. 18 (2016) 270–283.
[22] H. Huang, C. Wu, Approximation of fuzzy functions by regular fuzzy neural networks, Fuzzy Sets
and Systems 177 (2011) 60–79.
[23] E. H¨ullermeier, An approach to modelling and simulation of uncertain dynamical systems, Internat.
J. Uncertain. Fuzziness Knowledge-Based Systems 5 (1997), 117–137.
[24] O. Kaleva, Fuzzy differential equations, Fuzzy Sets and Systems 24 (1987) 301–317.
[25] G. J. Klir, Fuzzy arithmetic with requisite constraints, Fuzzy Sets and Systems 91 (1997) 165–175.
[26] G.J. Klir, B. Yuan, Fuzzy Sets and Fuzzy Logic, Prentice Hall PTR, Upper Saddle River, NJ, 1995.
[27] W.A. Lodwick, D. Dubois, Interval linear systems as a necessary step in fuzzy linear systems,
Fuzzy Sets and Systems 281 (2015) 227–251.
[28] V. Lupulescu, On a class of fuzzy functional differential equations, Fuzzy Sets and Systems 160
(2009) 547–1562.
[29] S. Melliani, Semi-linear equation with fuzzy parameters, Notes IFS 5 (1999) 42–47.
[30] M.T. Mizukoshi, L.C. Barros, Y. Chalco-Cano, H. Rom´an-Flores, R.C. Bassanezi, Fuzzy differential
equations and the extension principle, Inform. Sci. 177 (2007) 3627–3635.
[31] C.V. Negoit¸˘a D.A. Ralescu, Applications of Fuzzy Sets to Systems Analysis, John Wiley & Sons,
New York, 1975.
[32] M. Oberguggenberger, S. Pittschmann, Differential equations with fuzzy parameters, Math. Mod-
elling Syst. 5 (1999) 181–202.
[33] M. L. Puri, D.A. Ralescu, Differentials of fuzzy functions, J. Math. Anal. Appl. 91 (1983) 552–558.
[34] M. Ramezanadeh, M. Heidari, O.S. Fard, A.H. Borzabadi, On the interval differential equation:
novel solution methodology, Adv. Difference Equ. 2015 (2015) 23.
[35] L. Stefanini, A generalization of Hukuhara difference and division for interval and fuzzy arithmetic,
Fuzzy Sets and Systems 161 (2010) 1564–1584.
[36] L. Stefanini, B. Bede, Generalized Hukuhara differentiability of interval-valued functions and in-
terval differential equations, Nonlinear Anal. 71 (2009) 1311–1328.
[37] L. Stefanini, L. Sorini, M.L. Guerra, Parametric representation of fuzzy numbers and application
to fuzzy calculus, Fuzzy Sets and Systems 157 (2006) 2423–2455.
[38] L.A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning. I,
Information Sci. 8 (1975) 199–249.
[39] L.A. Zadeh, The role of fuzzy logic in modeling, identification and control, MIC—Model. Identif.
Control 15 (1994) 191–203.
[40] L.A. Zadeh, Toward a generalized theory of uncertainty (GTU)—an outline, Inform. Sci. 172 (2005)
1–40.