Utility and Helpfulness of Probability of the Fuzzy Events in Some Economic Problems

In the paper we present some conceptions of probability of fuzzy events, especially of intuitionistic fuzzy events and discuss them in one perspective and show the utility and helpfulness of using the probability calculus to a valuation of some economic situations.

Section 1. Introduction. Probability of fuzzy events according to the idea of L. Zadeh.

Section 2. Intuitionistic fuzzy sets of K. Atanassov.

Section 3. Intuitionistic fuzzy event (IFE) and its probability according to the results of T. Gerstenkorn and J. Mańko.

Section 4. Probability of IFE by using the theorems of decomposition and extension principle of D. Stoyanova.

Section 5. Probability of IFE according to the ideas of E. Szmidt and J. Kacprzyk.

Section 6. A large example showing utility and helpfulness of using a probability calculus to evaluation of some economic problems. A comparison of different results by using different methods of probability proposals.

Section 7. Final remarks.