On the space of (s)-integrable functions for a monotonic measure

• Autorzy: Wu C. , Ren X. , Wu C.

Identyfikatory

DOI

10.14708/cm.v53i2.789

• Języki publikacji: EN

Abstrakty

EN

In this paper we introduce and study the space of real-valued (s)-integrable functions for a monotonic measure, and consider some relations between this space and the space of real-valued measurable functions.

Słowa kluczowe

EN

Monotonic measure; (s)-integral; space of real-valued (s)-integrable functions; space of real-valued measurable functions

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2013
• Tom: Vol. 53, No. 2
• Strony: 135--145
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Wu C.

• Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, P.R.China

autor

Ren X.

• Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, P.R.China

autor

Wu C.

• School of Management, Harbin Institute of Technology, Harbin, 150001, P.R.China

Bibliografia

• [1] C. Wu, X.K. Ren and C.X. Wu, A note on the space of fuzzy measurable functions for a monotone measure, Fuzzy Sets and Systems 182 (2011), 2-12.
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• [3] C.X. Wu and T. Mamadou, An extension of Sugeno integral, Fuzzy Sets and Systems 138 (2003), 537-550.
• [4] D. Denneberg, Non-Additive Measure and Integral, Kluwer Academic Publishers, Dordecht 1994.
• [5] E. Pap, Null-Additive Set Functions, Kluwer Academic Publishers, Dordecht 1995.
• [6] E.F. Combarro and P. Miranda, On the polytope of non-additive measures, Fuzzy Sets and Systems 159 (2008), 2145-2167.
• [7] J. Li, Order continuous of monotone set function and convergence of measurable functions sequence, Applied Mathematics and Computation 135 (2003), 211-218.
• [8] C.X. Wu and B. Sun, A note on the extension of the null-additive set function on algebra of subsets, Applied Mathematics Letters 20 (2007), 770-772.
• [9] C.X.Wu and B. Sun, Pseudo-atoms of fuzzy and non-fuzzy measures, Fuzzy Sets and Systems 158 (2007), 1258-1272.
• [10] C.X. Wu and X.K. Ren, Fuzzy measures and discreteness, Discrete Mathematics 308 (2008), 4839-4845.
• [11] X.K. Ren, C. Wu and C.X. Wu, Some remarks on the double asymptotic null-additivity of monotonic measures and related applications, Fuzzy Sets and Systems 161 (2010), 651-660.
• [12] Z.Y. Wang and G.J. Klir, Generalized Measure Theory, Springer-Verlag, New York 2008.
• [13] C.X. Wu, Z.T. Zhao and X.K. Ren, Fuzzy Analysis and Special Functional Spaces, Harbin Institute of Technology Publishers 2013 (in Chinese).
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• [15] C.X. Wu, Function spaces and application to fuzzy analysis, Banach Center Publications 79 (2008), 235-246.