Issue: 2003/Vol.13/No.4, Pages 61-73
ON PROBABILISTIC INTERPRETATION OF FUZZY NUMBERS
Stanisław Heilpern
Cite as: S. Heilpern. On probabilistic interpretation of fuzzy numbers. Operations Research and Decisions 2003: 13(4), 61-73.
Abstract
The paper is devoted to probabilistic interpretation of fuzzy numbers. The relationships between the fuzzy numbers and the interval random set are studied. The ordering of fuzzy numbers based on the stochastic dominance and the defuzzification problem based on the functional representation of preference relation and random simulation are presented. The problems of approximation of the fuzzy numbers by the crisp intervals and trapezoidal fuzzy numbers are investigated.
Keywords: probabilistic interpretation, fuzzy number, interval random set, defuzzification problem
Received: Accepted: