This paper deals with the concept of the "size" or "extent" of the information in the sense of measuring the improvement of our knowledge after obtaining a message. Standard approaches are based on the probabilistic parameters of the considered information source. Here we deal with situations when the unknown probabilities are subjectively or vaguely estimated. For the considered fuzzy quantities valued probabilities we introduce and discuss information theoretical concepts.
We investigate solution sets of a special kind of linear inequality systems. In particular, we derive characterizations of these sets in terms of minimal solution sets. The studied inequalities emerge as information inequalities in the context of Bayesian networks. This allows to deduce structural properties of Bayesian networks, which is important within causal inference.
The text is focused primarily on the concept of informed consumers in the Czech law. We do not aim to cover exhaustively the whole field. The main target of the article is to introduce specific questions which are connected to such a topic. In the beginning we primarily introduce general characteristics of the informed consumer, then we analyse pre-contractual information obligation and the demands focused on the transparency. As the position of the consumer is weaker than the position of the entrepreneur, misleading commercial practices and unfair contract terms are examined as well. The text is then focused on sector specific rules, such as in the area of financial services and on the aspects of the digital consumer. Throughout the text, some problematic aspects of Czech regulation or inappropriate implementation of European legislation are mentioned as well. The aim of the article is to introduce national specifics within abovementioned areas and to analyse relevant questions of consumer protection connected with information duty of the entrepreneurs., Markéta Selucká, Iva Šťavíková Řezníčková, Pavel Loutocký., and Obsahuje bibliografické odkazy