Remarks on the Generalized Probablity of the Bifuzzy Event

• Autorzy: Tadeusz Gerstenkorn , Joanna Gerstenkorn
• Języki publikacji: EN

Abstrakty

EN

The presentation is a continuation of a paper at MSA'04 (T. Gerstenkorn, J. Gerstenkorn (2007)). In 1978 Ph. Smets proposed the so-called g-probability of a fuzzy event as a generalization of the L. Zadeh's probability of 1968. In 1980 S. Heilpern also discussed g-probability and analysed its properties. In 1992 Ph. Smets discussed once again the same his own problem and demonstrated its axiomatic properties. In this elaboration we desire to discuss the g-probability of the bifuzzy (intuitionis-tic) event and its properties as consistent with Kolmogoroff axiomatics.(original abstract)

Niniejsza prezentacja jest kontynuacją pracy pt. Probability of fuzzy event. Review of problems (Prawdopodobieństwo zdarzenia rozmytego. Przegląd zagadnień), przedstawionej na WAS'05 Acta Univ. Lodz., Folia Oeconomica 2007. W 1978 r. Philippe Smets zaproponował tzw. g-prawdopodobieństwo zdarzenia rozmytego jako pewne uogólnienie prawdopodobieństwa tegoż zdarzenia podanego przez Lotfi Zadeha w 1968 r. W 1980 r. Stanisław Heilpern także rozważał g-prawdopodobieństwo i analizował jego własności. W 1982 r. Ph. Smets ponownie i szeroko rozpatrywał g-prawdopodobieństwo i dowodził jego aksjomatycznych własności. W przedstawianym opracowaniu pragniemy rozpatrzyć g-prawdopodobieństwo zdarzenia dwoistorozmytego (intuicjonistycznego) i jego własności jako zgodne z aksjomatyką Kołmogorowa. (abstrakt oryginalny)

Słowa kluczowe

EN

Probability; Probability theory; Fuzzy sets

PL

Prawdopodobieństwo; Teoria prawdopodobieństwa; Zbiory rozmyte

• Czasopismo: Acta Universitatis Lodziensis. Folia Oeconomica
• Rocznik: 2008
• Tom: 216 Multivariate Statistical Analysis Statistical Inference, Statistical Models and Applications
• Strony: 261--267

Twórcy

autor

Tadeusz Gerstenkorn

• University of Lodz, Poland

autor

Joanna Gerstenkorn

• University of Lodz, Poland

Bibliografia

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