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Integral and differential calculus
Integral and differential calculus






(2020)Įsmi, E., Santo Pedro, F., Barros, L.C., Lodwick, W.: Fréchet derivative for linearly correlated fuzzy function. Submitted for publicationĮsmi, E., Sánchez, D.E., Wasques, V.F., Barros, L.C.: Solutions of higher order linear fuzzy differential equations with interactive fuzzy values. (2020)Įsmi, E., Laiate, B., Barros, L.C., Santo Pedro, F.: Banach spaces generated by strongly linearly independent fuzzy numbers (2020). SIAM (2005)Įsmi, E., Barros, L.C., Santo Pedro, F., Laiate, B.: Banach spaces generated by strongly linearly independent fuzzy numbers. Elsevier (1993)Įdelstein-Keshet, L.: Mathematical Models in Biology. In: Readings in Fuzzy Sets for Intelligent Systems, pp. Springer (2000)ĭubois, D., Prade, H.: Additions of interactive fuzzy numbers. Chaos, Solitons Fractals 38(1), 112–119 (2008)ĭiamond, P., Kloeden, P.: Metric topology of fuzzy numbers and fuzzy analysis. IEEE (2004)Ĭhalco-Cano, Y., Roman-Flores, H.: On new solutions of fuzzy differential equations. In: 2004 IEEE International Conference on Fuzzy Systems, vol. 1, pp.

integral and differential calculus

265, 86–98 (2015)Ĭarlsson, C., Fullér, R., et al.: Additions of completely correlated fuzzy numbers. 219, 68–80 (2013)Ĭabral, V.M., Barros, L.C.: Fuzzy differential equation with completely correlated parameters. 230(1), 119–141 (2013)īertone, A.M., Jafelice, R.M., Barros, L.C., Bassanezi, R.C.: On fuzzy solutions for partial differential equations. Springer, Berlin Heidelberg, Berlin, Heidelberg (2013)īede, B., Stefanini, L., et al.: Generalized differentiability of fuzzy-valued functions. 309, 64–80 (2017)īass, F.M.: A new product growth for model consumer durables. Seventh IFSA World Congress 2, 3–8 (1997)īarros, L.C., Santo Pedro, F.: Fuzzy differential equations with interactive derivative. Springer (2016)īarros, L.C., Bassanezi, R.C., Tonelli, P.A.: On the continuity of the Zadeh’s extension.

integral and differential calculus

arXiv:1511.07203īarros, L.C., Bassanezi, R.C., Lodwick, W.A.: First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics. We present a theory of differential calculus for certain autoregressive fuzzy processes based on a special type of interactivity called \(\mathcal \).Īllahviranloo, T., Afshar Kermani, M.: Numerical methods for fuzzy linear partial differential equations under new definition for derivative.

integral and differential calculus

Recall that interactivity between fuzzy variables are described in terms of joint possibility distributions and plays a similar role to that of dependence between random variables. This chapter presents the theory of differential and integral calculus for autoregressive fuzzy processes, that is, fuzzy number-valued functions F such that F( t) and \(F(t+h)\) are interactive fuzzy numbers for every | h| sufficiently small.








Integral and differential calculus