Issue:A measure extension theorem

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Title of paper: A measure extension theorem Author(s): Beloslav Riečan Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica Mathematical Institute of Slovak Acad. of Sciences, Štefánikova 49, SK-81473 Bratislava riecan@fpv.umb.sk , riecan@mat.savba.sk Petra Mazureková Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica korcova@fpv.umb.sk Presented at: 2nd International Workshop on Intuitionistic Fuzzy Sets, 3 December 2006, Banská Bystrica, Slovakia. Published in: Proceedings, published in Notes on Intuitionistic Fuzzy Sets, Volume 12, Number 4, pages 3—8 Download:  PDF (87  Kb, File info) Abstract: In the paper continuous set functions are considered where the additional condition is substituted by max-min condition: μ(A⋃B) = max(μ(A), μ(B)), μ(A⋂B) = min(μ(A), μ(B)). For such functions the extension theorem is proved from an algebra to the generalized σ-algebra. References: Krachounov, M.: Intuitionistic probability and intuitionistic fuzzy sets. In: First International Workshop on Intuitionistic Fuzzy Sets, Generalized Nets and Knowledge Engeneering (E. El-Darzi. R. Atanassov, P. Chountas eds.) Univ. of Westminister, London 2006, 18-24. Pap, E.: Pseudoadditive measures and their applications. In: Handbook of Measure Theory (E. Pap ed.). Elsevier, Amsterdam 2002, 1403 - 1465. Riečanová, Z.: About δ-additive and δ-maxitive measures. Math. Slovaca 32, 1982, 413 -436. Shilkret, N.: Maxitive measure and integration. Indag.Math. 33 (1971), 109 - 116. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.