논문KCI 등재
On the Birkhoff integral of fuzzy mappings in Banach spaces
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we introduce the Birkhoff integral of fuzzy mappings in Banach spaces in terms of the Birkhoff integral of set-valued mappings and investigate some properties of the Birkhoff integrals of set-valued mappings and fuzzy mappings in Banach spaces.
Abstract
In this paper, we introduce the Birkhoff integral of fuzzy mappings in Banach spaces in terms of the Birkhoff integral of set-valued mappings and investigate some properties of the Birkhoff integrals of set-valued mappings and fuzzy mappings in Banach spaces.
참고문헌 (11)
- M. Balcerzak, "Convergence theorems for the Birkhoff integral", Czech. Math. J, 58, pp.1207~1219 (2008)
- G. Birkhoff, "Integration of functions with values in a Banach space", Trans. Amer. Math. Soc, 38, pp.357~378 (1935)
- B. Cascales, "Birkhoff integral for multi-valued functions", J. Math. Anal. Appl, 297, pp.540~560 (2004)
- B. Cascales, "The Birkhoff integral and the property of Bourgain", Math. Ann, 331, pp.259~279 (2005)
- C. Castaing, "Convex Analysis and Measurable Multifunctions", Lecture Notes in Math., 580 (1977), Springer-Verlag Berlin
- K. El Amri, "On the Pettis integral of closed valued multifunctions", Set-Valued Anal, 8, pp.329~360 (2000)
- V. Marraffa, "A charactirization of absolutely summing operators by means of McShane integrable functions", J. Math. Anal. Appl, 293, pp.71~78 (2004)
- B. J. Pettis, "On integration in vector spaces", Trans. Amer. Math. Soc, 44, pp.277~304 (1938)
- J. Rodriguez, "On the existence of Pettis integrable functions which are not Birkhoff integrable", Proc. Amer. Math. Soc, 133, pp.1157~1163 (2005)
- X. Xue, "Random fuzzy number integrals in Banach spaces", Fuzzy Sets and Systems, 66, pp.97~111 (1994)
- X. Xue, "On the convergence and representation of random fuzzy number integrals", Fuzzy Sets and Systems, 103, pp.115~125 (1999)
관련 논문AI추천
On Henstock integral of fuzzy mappings in Banach spaces박춘기, 오미영강원경기수학회 · 한국수학논문집2009 · 제17권 제3호ON THE DEBREU INTEGRAL OF FUZZY MAPPINGS IN BANACH SPACES박춘기한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제3호Convergence theorems for Denjoy-Pettis integrable fuzzy mappings박춘기강원경기수학회 · 한국수학논문집2010 · 제18권 제3호On the Pettis integral of fuzzy mappings in Banach spaces박춘기대한수학회 · 대한수학회논문집2007 · 제22권 제4호SET-VALUED CHOQUET-PETTIS INTEGRALS박춘기강원경기수학회 · 한국수학논문집2012 · 제20권 제4호GENERALIZED FUZZY NUMBER VALUED BARTLE INTEGRALS박춘기대한수학회 · 대한수학회논문집2010 · 제25권 제1호
이 간행물의 다른 논문 (12건)
Remark on average of class numbers of function fields정환엽pp. 365-374Regular convergence spaces박진원pp. 375-382Some notes on strong law of large numbers for Banach space valued fuzzy random variables김윤경, 김주목pp. 383-399ON ALMOST n-SIMPLY PRESENTED ABELIAN p-GROUPSPeter V. Danchevpp. 401-419On coefficients of nilpotent polynomials in skew polynomial rings류성주, 윤상조, 남상복pp. 421-428
