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Vitaly I. Levin, Alexander Boldachev, Andrew Schumann, Andrzej Szelc, James Trafford, Dov M. Gabbay,

Andrew Schumann worked at the Belarusian State University, Minsk, Belarus. His research focuses on logic and philosophy of science with an emphasis on non-well-founded phenomena: self-references and circularity. He contributed mainly to research areas such as reasoning under uncertainty, probability reasoning, non-Archimedean mathematics, as well as their applications to cognitive science. He is engaged also in unconventional computing, decision theory, logical modelling of economics.


Andrzej Szelc is the Vice-President for International Relations at the University of Information Technology and Management in Rzeszow.



Towards New Probabilistic Assumptions in Business Intelligence

One of the main assumptions of mathematical tools in science is represented by the idea of measurability and additivity of reality. For discovering the physical universe additive measures such as mass, force, energy, temperature, etc. are used. Economics and conventional business intelligence try to continue this empiricist tradition and in statistical and econometric tools they appeal only to the measurable aspects of reality. However, a lot of important variables of economic systems cannot be observable and additive in principle. These variables can be called symbolic values or symbolic meanings and studied within symbolic interactionism, the theory developed since George Herbert Mead and Herbert Blumer. In statistical and econometric tools of business intelligence we accept only phenomena with causal connections measured by additive measures. In the paper we show that in the social world we deal with symbolic interactions which can be studied by non-additive labels (symbolic meanings or symbolic values). For accepting the variety of such phenomena we should avoid additivity of basic labels and construct a new probabilistic method in business intelligence based on non-Archimedean probabilities.


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