A Definition of Subjective Possibility

• Autorzy: Didier Dubois , Henri Prade , Philippe Smets

Warianty tytułu

Definicja subiektywnej możliwości

• Języki publikacji: EN

Abstrakty

EN

The problem of finding a suitable belief function consistent with a given possibility distribution is considered. It is proved that this function is unique and consonant thus representable by means of a possibility distribution. The possibility distribution is subjective and unique. The results obtained in the paper allow us to define subjective possibility degrees, hence the membership function of fuzzy number.

W pracy proponuje się subiektywne spojrzenie na teorię możliwości, polegające na założeniu, że kiedy konstruuje się pewien rozkład prawdopodobieństwa, jest on faktycznie indukowany przez pewną funkcję ufności (belief function) reprezentującą rzeczywisty stan wiedzy. Zakłada się również, że przejście od pewnej funkcji ufności do rozkładu prawdopodobieństwa jest realizowane za pomocą transformacji (pignistic transformation), znanej jako wartość Shapleya. Rozważa się problem znalezienia odpowiedniej funkcji ufności zgodnej z danym rozkładem prawdopodobieństwa. Dowodzi się, że funkcja ta jest jednoznacznie określona i zgodna. Można ją zatem reprezentować za pomocą rozkładu możliwości. Rozkład ten jest subiektywny i jednoznaczny. Otrzymane w pracy wyniki pozwalają na definiowanie subiektywnych stopni możliwości, a co za tym idzie - funkcji przynależności liczby rozmytej.

Słowa kluczowe

EN

Calculus of probability; Possibility theory; Belief function

PL

Rachunek prawdopodobieństwa; Teoria możliwości; Funkcja ufności

• Czasopismo: Badania Operacyjne i Decyzje
• Rocznik: 2003
• Numer: nr 4
• Strony: 7--22

Twórcy

autor

Didier Dubois

autor

Henri Prade

autor

Philippe Smets

Bibliografia

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