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http://ifigenia.org/wiki/issue:nifs/21/5/7-10
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| Title of paper:
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On two formulations of the IF state representation theorem
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| Author(s):
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| Beloslav Riečan
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| Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 974 01 Banská Bystrica, Slovakia
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| beloslav.riecan@umb.sk
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| Presented at:
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11th International Workshop on Intuitionistic Fuzzy Sets, Banská Bystrica, Slovakia, 30 Oct. 2015
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 5, pages 7–10
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| Download:
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 PDF (121 Kb, File info)
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| Abstract:
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There are two IF-state representation theorems, [2,4]. They represent IF-state by some classical Kolmogorovian probabilities. Of course, they must be equivalent, but the formulations correspond with the constructions of the probabilities.
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| Keywords:
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D-poset, Effect algebra, Multiplicative operation.
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| AMS Classification:
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03G12, 03B5D.
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| References:
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- Butnariu, D. & E. P. Klement (1993) Triangular Norm-Based Measures and Games with Fuzzy Coalitions. Kluwer, Dordrecht.
- Ciungu, L. & B. Riečan (2010) Representation theorem for probabilities on IFS-events. Information Sciences, 180, 793–798.
- Grzegorzewski, P.,& E. Mrowka (2002) Probability of intuitionistic fuzzy events. In: Soft Methods in Probability, Statistics and Data Analysis (P. Grzegorzewski et al. eds.), 105–115.
- Riečan, B. (2003) A decsriptive definition of the probability on intuitionistic fuzzy sets. In: EUSFLAT 2003 (M. Wagenecht, R. Hampet, eds.), 263–266.
- Riečan, B. (2006) On a problem of Radko Mesiar: General form of IF-probabilities. Fuzzy Sets and Systems, 152, 1485–1490.
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