General Form of Probabilities on IF-Sets

Authors:
Lavinia Ciungu;Beloslav Riečan
Affiliations:
Polytechnical University of Bucharest, Bucharest, Romania and State University of New York - Buffalo, Buffalo, USA 14260-2900;Matej Bel University, Banská Bystrica, Slovakia 974 01 and Matematický Ústav SAV, Bratislava, Slovakia 814 73
Venue:
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
Year:
2009

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Abstract

The paper has two aims. First, a review of various definitions of probabilities on Atanassov IF-sets, and corresponding representation theorems. Secondly, a new representation theorem is proved for so-called φ -probabilities including a large variety of special cases.