Browse > Article
http://dx.doi.org/10.4134/CKMS.2007.22.4.535

ON THE PETTIS INTEGRAL OF FUZZY MAPPINGS IN BANACH SPACES  

Park, Chun-Kee (Department of Mathematics Kangwon National University)
Publication Information
Communications of the Korean Mathematical Society / v.22, no.4, 2007 , pp. 535-545 More about this Journal
Abstract
In this paper, we introduce the Pettis integral of fuzzy mappings in Banach spaces using the Pettis integral of closed set-valued mappings. We investigate the relations between the Pettis integral, weak integral and integral of fuzzy mappings in Banach spaces and obtain some properties of the Pettis integral of fuzzy mappings in Banach spaces.
Keywords
Pettis integral of closed set-valued mappings; weak integral; integral and Pettis integral of fuzzy mappings in Banach spaces;
Citations & Related Records

Times Cited By SCOPUS : 0
연도 인용수 순위
  • Reference
1 O. Kaleva, Fuzzy differential equations, Fuzzy Sets and Systems 24 (1987), 301-317   DOI   ScienceOn
2 N. Papageoriou, On the theory of Banach space valued multifunctions, J. Multivariate Anal. 17 (1985), 185-206   DOI
3 J. Wu and C. Wu, The w-derivatives of fuzzy mappings in Banach spaces, Fuzzy Sets and Systems 119 (2001), 375-381   DOI   ScienceOn
4 X. Xiaoping, H. Minghu, and M. Ming, Random fuzzy number integrals in Banach spaces, Fuzzy Sets and Systems 66 (1994), 97-111   DOI   ScienceOn
5 X. Xiaoping, X. Wang, and L. Wu On the convergence and representation of random fuzzy number integrals, Fuzzy Sets and Systems 103 (1999), 115-125   DOI   ScienceOn
6 K. Amri and C. Hess, On the Pettis integral of closed valued multifunctions, Set-Valued Analysis 8 (2000), 329-360   DOI
7 R. J. Aumann, Integrals of set-valued functions, J. Math. Anal. Appl. 12 (1965), 1-12   DOI
8 W. Z. Wu, W. X. Zhang, and R. M. Wang, Set valued Bartle integrals, J. Math. Anal. Appl. 255 (2001), 1-20   DOI   ScienceOn