Auteurs : Jacek Mańko http://popups.lib.uliege.be/1373-5411/index.php?id=1369 Publications of Auteurs Jacek Mańko fr 0 Randomness In The Bifuzzy Set Theory http://popups.lib.uliege.be/1373-5411/index.php?id=3592 The present paper includes a survey of notions in probability theory, carried over to the ground of the theory of bifuzzy sets. At the same time, it shows a possible combination of randomness and bifuzziness and signals other relationships of both the theories. Thu, 26 Sep 2024 10:10:48 +0200 Thu, 26 Sep 2024 10:11:05 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3592 Utility and Helpfulness of Probability of the Fuzzy Events in Some Economic Problems http://popups.lib.uliege.be/1373-5411/index.php?id=2282 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. Wed, 31 Jul 2024 12:35:35 +0200 Wed, 31 Jul 2024 12:35:43 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2282 Remarks on the Classical Probability of Bifuzzy Events http://popups.lib.uliege.be/1373-5411/index.php?id=1358 The present paper discusses the conception of the cardinality of a bifuzzy set in two versions - as a real number and as a bifuzzy set. The notions introduced here serve one to calculate the probability of a bifuzzy event defined in a finite space of elementary events and are a generalization of Laplace's approach in the Kolmogorov probability calculus. The paper refers to works of Gerstenkorn and Manko (1998) and Mańko (1998) and Mańko (1992) and is illustrated by an example. Thu, 11 Jul 2024 14:25:59 +0200 Mon, 07 Oct 2024 13:01:42 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1358