Pseudo-integral of set-valued functions

New Dimensions in Fuzzy Logic and Related Technologies - Proceedings of the 5th EUSFLAT 2005 Conference

Volumn 1, Issue , 2007, Pages 221-225

  Grbíc, Tatjana ^a   Ŝtajner Papuga, Ivana ^a   Nedovic, Ljubo ^a  

^a UNIVERSITY OF NOVI SAD   (Serbia)

Author keywords

Pseudo operations; Pseudointegral; Set valued functions

Indexed keywords

BASIC PROPERTIES; PSEUDO-OPERATIONS; PSEUDOINTEGRAL; SET-VALUED FUNCTIONS;

FUNCTIONS; FUZZY LOGIC;

INTEGRAL EQUATIONS;

EID: 58049213737     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (19)

1. R. J. Aumann, Integrals of set-valued functions, Journal of Mathematical Analysis and Applictions 12 (1965) 1-12.
2. P. Benvenuti, R. Mesiar and D. Vivona, Monotone Set Functions-Based Integrals, in: E. Pap (Ed.), Handbook of Measure Theory, Volume II. Elsevier, Amsterdam, 2002, pp. 1329-1379.
3. C. Guo, D. Zhang, On set-valued fuzzy measures, Information Sciences 160 (2004) 13-25.
4. L. C. Jang, B. M. Kil, Y. K. Kim, J. S. Kwon, Some properties of Choquet integrals of setvalued functions, Fuzzy Sets and Systems 91 (1997) 95-98. (Pubitemid 127682958)
5. E. Klein, A C. Thompson, Theory of Correspondences, A Wi ley-Interscience Publication, New York, 1984.
6. E.P. Klement, R. Mesiar and E. Pap, Triangular Norms, Kluwer Academic Publishers, Dordrecht, 2000.
7. V. N. Kolokoltsov and V.P. Maslov, Idempotent Analysis and Its Applications, Kluwer Academic Publishers, Dordrecht, 1997.
8. A. Marková-Stupňanová, A note on g-derivative and g-integral, Tatra Mt. Math. Publ. 8 (1996) 71-76.
9. V.P. Maslov, S.N. Samborskij, Idempotent Analysis, American Mathematical Society, Providence, 1992.
10. R. Mesiar, Pseudo-linear integrals and derivatives based on a generator g, Tatra Mt. Math. Publ. 8 (1996) 67-70.
11. E. Pap, An integral generated by decomposable measure, Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 20 (1990) 135-144.
12. E. Pap, g-calculus, Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 23 (1993) 145-156.
13. E.Pap, Null-Additive Set Functions, Kluwer Academic Publishers, Dordrecht-Boston-London, 1995.
14. E. Pap,Pseudo-additive measures and their applications, in: E. Pap (Ed.), Handbook of Measure Theory, Volume II. Elsevier, Amsterdam, 2002, pp. 1403-1465.
15. E. Pap, Applications of the generated pseudoanalysis to nonlinear partial differential equations, Contemporary Mathematics 377 (2005) 239-259.
16. E. Pap, D. Vivona, Non-commutative and nonassociative pseudo-analysis and its applications on nonlinear partial differential equations, J. Math. Anal. Appl. 246/2 (2000) 390-408.
17. D. Zhang, C. Guo, Integrals of set-valued functions for -decomposable measures, Fuzzy Sets and Systems 78 (1996) 341-346. (Pubitemid 126667381)
18. S. Weber, Conditinal measures and their applications to fuzzy sets, Fuzzy Sets and Systems 42 (1991) 73-85.
19. D. Zhang, C. Guo, Integrals of set-valued functions for -decomposable measures, Fuzzy Sets and Systems 78 (1996) 341-346. (Pubitemid 126667381)