Abstract
The article examines the rules for performing basic arithmetic operations on fuzzy gradations. The tables for performing operations of addition, limited addition, multiplication, as well as operations of minimum and maximum are obtained. A generalization of Markov models of decision making in the case of ambiguity, when there is no information about the probabilities of states, is proposed. In this case, the components of the model are considered as fuzzy and the concept of fuzzy risk is additionally introduced. An example of application of Markov model to economic problem is considered. The models of optimal choice were studied for various decision-making strategies, namely, the threshold criterion method, the worst criterion method, additive convolution, and the distance method for different selection functions. Theoretical studies are accompanied by numerical calculations.
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