On the generalized LU-fuzzy derivative and fuzzy differential equations

IEEE International Conference on Fuzzy Systems

Volumn , Issue , 2007, Pages

  Stefanini, Luciano ^a  

^a UNIVERSITY OF URBINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); FUZZY LOGIC; FUZZY RULES; FUZZY SETS; FUZZY SYSTEMS; MEMBERSHIP FUNCTIONS; NUMERICAL ANALYSIS; ORDINARY DIFFERENTIAL EQUATIONS; STANDARDS;

BASIC ELEMENTS; DIFFERENTIABILITY; FINITE DECOMPOSITION; FUZZY DIFFERENTIAL EQUATIONS; FUZZY FUNCTIONS; FUZZY NUMBERS; FUZZY-VALUED FUNCTION; GENERALIZED DIFFERENTIABILITY; INITIAL VALUES; INTERNATIONAL CONFERENCES; STANDARD METHODS; UPPER FUNCTIONS; VALUED FUNCTION;

SET THEORY;

EID: 50249114733     PISSN: 10987584     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FUZZY.2007.4295453     Document Type: Conference Paper

References (14)

1. 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.
2. B. Bede, I. J. Rudas, A. L. Bencsik, First order linear fuzzy differential equations under generalized differentiability, Information Sciences, 177, 2007, 1648-1662.
3. P. Diamond, P. Klöden, Metric Spaces of Fuzzy Sets, World Scientific, Singapore, 1994.
4. D. Dubois, H. Prade (Ed), Fundamentals of Fuzzy Sets, Kluwer, Boston, The Handbooks of Fuzzy Sets Series, 2000.
5. D. Dubois, E. Kerre, R. Mesiar, H. Prade, Fuzzy interval analysis, in: D. Dubois, H. Prade (Ed), Fundamentals of Fuzzy Sets, Kluwer, Boston, The Handbooks of Fuzzy Sets Series, 2000, 483-581.
6. R. Goetschel, W. Voxman, Elementary fuzzy calculus, Fuzzy Sets and Systems, 18, 1986, 31-43.
7. M. L. Guerra, L. Stefanini, Approximate Fuzzy Arithmetic Operations Using Monotonic Interpolations, Fuzzy Sets and Systems, 150, 2005, 5-33.
8. O. Kaleva, Fuzzy differential equations, Fuzzy Sets and Systems, 24, 1987, 301-317.
9. O. Kaleva, The calculus of fuzzy valued functions, Appl. Math. Lett., 3, 1990, 55-59.
10. Y L. Kim, B. M. Ghil, Integrals of fuzzy-number-valued functions, Fuzzy Sets and Systems, 86, 1997, 213-222.
11. M. Puri, D. Ralescu, Differentials of fuzzy functions, J. Math. Anal. Appl., 91, 1983, 552-558.
12. 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.
13. L. Stefanini, L. Sorini, M. L. Guerra, Simulation of fuzzy dynamical systems using the LU-representation of fuzzy numbers, Chaos, Solitons & Fractals, 29/3 (2006), 638-652.
14. L. A. Zadeh, Fuzzy Sets, Information and Control, 8, 1965, 338-353.