The continuous distributions under uncertainty

In this thesis, normal, exponential, gamma and pareto distributions were transformed into fuzzy distributions by means of fuzzy numbers also fuzzy probabilities, expected values and variances as well were formulized being supported with examples.In the first chapter a general information about fuzzy logic was given. Fuzzy group and the operations on fuzzy groups and the fuzzy numbers to be used in this thesis were introduced while the membership function was being examined.In the second chapter the probability was described in general terms.Supported with examples, the probability of a fuzzy event A and the formulas in relation to the fuzzy probability of the fuzzy event were obtained later.As for the third chapter, uniform ,normal, exponential, gamma and pareto distributions which are continuous distributions were transformed into fuzzy distributions by means of the fuzzification method and fuzzy probabilities, expected fuzzy values and formulas of fuzzy variances were given by means of obtained fuzzy distributions as well , being supported with examples.Key Words: Fuzzy Logic, membership function, fuzzy sets, fuzzy numbers, fuzzy probability, continuous fuzzy distributions.