| Title of paper:
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Measurable elements on IF-sets
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| Author(s):
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| Alžbeta Michaliková
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| Faculty of Natural Sciences, Matej Bel University, Department of Mathematics, Tajovskeho 40, 974 01 Banska Bystrica, Slovakia
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| michalik@fpv.umb.sk (current: Alzbeta.Michalikova@umb.sk)
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| Presented at:
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1st International Workshop on Intuitionistic Fuzzy Sets, 22 September 2005, Banská Bystrica, Slovakia
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| Published in:
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"Notes on IFS", Volume 11 (2005), Number 6, pp. 26-28
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| Download:
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 PDF (1352 Kb, Info)
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| Abstract:
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In this paper we study an outer measure on IF-sets as a mapping to the set of all compact subintervals of the unit interval. We characterize the properties of the outer measure by the help of the properties of functions given by the edges of the intervals.
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| Keywords:
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IF-sets, outer measure, measurable element.
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| References:
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- Cignoli R., D'Ottaviano I.M.L., Mundici D.(2000), Foundations of Many-Valued Reasoning, Trends in Logic, Studia Logica Library, 7, Kluwer, Dordrecht.
- Michalikova, A., Caratheodory outer measure on MV - algebras, to appear in Proceeding of IWIFSGN'2005, September 16, Warsaw, Poland.
- Riecan, B. (1977), On the Caratheodory method of the extension of measures and integrals, Math. Slovaca 27, No. 4, 365 - 374.
- Riecan, B. (2005), On the entropy on the Lukasiewicz square, Joint EUSFLAT - LFA 2005, Barcelona, September 7 - 9, 330 - 333
- Riecan, B. - Mundici, D. (2002), Probability on MV-algebras, Handbook of Measure Theory (E. Pap ed.), Elsevier, Amsterdam, 869 - 909.
- Srivastava, P. (2003), Caratheodory outer measure and measurability, Indian Journal of Matematics 45, No. 1, 89 - 104.
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