Title: Probabilities of fuzzy events and their use in decision matrices

Authors: Pavla Rotterová; Ondřej Pavlačka

Addresses: Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University Olomouc, 17. listopadu 12, 771 46 Olomouc, Czech Republic ' Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University Olomouc, 17. listopadu 12, 771 46 Olomouc, Czech Republic

Abstract: In decision-making problems, we often meet vaguely described events. Fuzzy sets can be used to represent such events. We analyse how can two different ways of expressing the probability of fuzzy events that are proposed in the literature be applied to a decision matrix where the states of the world are modelled by fuzzy sets. The problem is illustrated by an example.

Keywords: decision making; risk; decision matrices; fuzzy events; probability measures; fuzzy probability spaces; fuzzy probabilities; fuzzy expected value; fuzzy sets; modelling.

DOI: 10.1504/IJMOR.2016.079808

International Journal of Mathematics in Operational Research, 2016 Vol.9 No.4, pp.423 - 435

Received: 22 Dec 2014
Accepted: 15 Apr 2015
Published online: 16 Oct 2016 *

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