Pseudo-integral of interval-valued functions and some limit properties

SISY 2008 - 6th International Symposium on Intelligent Systems and Informatics

Volumn , Issue , 2008, Pages

  Grbić, Tatjana ^a   Štajner Papuga, Ivana ^a  

^a UNIVERSITY OF NOVI SAD   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

INTELLIGENT CONTROL; INTELLIGENT SYSTEMS; PROBABILITY DENSITY FUNCTION;

BASIC PROPERTIES; VALUED FUNCTIONS;

FUNCTIONS;

EID: 58049192679     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SISY.2008.4664936     Document Type: Conference Paper

References (25)

1. R. J. Aumann, "Integrals of set-valued functions", Journal of Mathematical Analysis and Applictions, vol. 12, pp. 1-12, 1965.
2. P. Benvenuti, R. Mesiar and D. Vivona, "Monotone set functions-based integrals", in Handbook of Measure Theory, Volume II, E. Pap, Ed. Elsevier, North-Holland, 2002, pp. 1329-1379.
3. P. Billingsley, Probability and Measures, 3rd edition. New York: John Wiley and Sons, Inc. 1995.
4. A. Chateauneuf, "Decomposable capacities, distorted probabilities and concave capacities", Mathemtical Social Sciences, vol. 31, pp. 19-37, 1996.
5. T. Grbić, I. Štajner-Papuga and Lj. Nedović, "Pseudo-integral of setvalued funtions", Proc. of EUSFLAT 2007, Volume I, pp. 221-225, 2007.
6. C. Guo and D. Zhang, "On set-valued fuzzy measures", Information Sciences, vol. 160, pp. 13-25, 2004.
7. L. C. Jang, B. M. Kil, Y. K. Kim and J. S. Kwon, "Some properties of Choquet integrals of set-valued functions", Fuzzy Sets and Systems, vol. 91, pp. 95-98, 1997.
8. E. Klein and A C. Thompson, Theory of Correspondences. A Wiley-Interscience Publication, New York, 1984.
9. E.P. Klement, R. Mesiar and E. Pap, Triangular Norms. Kluwer Academic Publishers, Dordrecht, 2000.
10. V. N. Kolokoltsov and V.P. Maslov, Idempotent Analysis and Its Applications. Kluwer Academic Publishers, Dordrecht, 1997.
11. V. Krätschmer, "Limit theorems for fuzzy-random variables", Fuzzy Sets and Systems, vol. 126, pp. 256-263, 2002.
12. I. Molchanov, Theory of Random Sets. Springer, 2005.
13. A. Marková-Stupňanová, "A note on g-derivative and g-integral", Tatra Mt. Math. Publ., vol. 8, pp. 71-76, 1996.
14. V.P. Maslov, S.N. Samborskij, Idempotent Analysis. American Mathematical Society, Providence, 1992.
15. R. Mesiar, "Pseudo-linear integrals and derivatives based on a generator g", Tatra Mt. Math. Publ., vol. 8, pp. 67-70, 1996.
16. R. Mesiar and E. Pap, "Idempotent integral as limit of g-integrals", Fuzzy Sets and Systems, vol. 102, pp. 385-392, 1999.
17. Lj. Nedović and T. Grbić, "The pseudo probability", Journal of Electrical Engineering, vol. 53, no. 12/s, pp. 27-30, 2002.
18. E. Pap, "An integral generated by decomposable measure", Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat., vol. 20, pp. 135-144, 1990.
19. E. Pap, "g-calculus", Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat., vol. 23, pp. 145-156, 1993.
20. E.Pap, Null-Additive Set Functions. Kluwer Academic Publishers, Dordrecht-Boston-London, 1995.
21. E. Pap, "Pseudo-additive measures and their applications", in Handbook of Measure Theory, Volume II, E. Pap, Ed. Elsevier, Amsterdam, 2002, pp. 1403-1465.
22. E. Pap, "Applications of the generated pseudo-analysis to nonlinear partial differential equations", Contemporary Mathematics, vol. 377, pp. 239-259, 2005.
23. E. Pap and D. Vivona, "Non-commutative and non-associative pseudoanalysis and its applications on nonlinear partial differential equations", J. Math. Anal. Appl., vol. 246/2, pp. 390-408, 2000.
24. D. Zhang and C. Guo, "Integrals of set-valued functions for ⊥-decomposable measures", Fuzzy Sets and Systems, vol. 78, pp. 341-346, 1996.
25. S. Weber, "Conditinal measures and their applications to fuzzy sets", Fuzzy Sets and Systems, vol. 42, pp. 73-85, 1991.