The eventological theory of decision-making, the theory of event-based decision-making is a theory of decision-making based on eventological principles and using results of mathematical eventology [1]; a theoretical basis of the practical eventology [2, 3, 4]. The beginnings of this theory which...

A brief introduction to the eventology, which has originated recently as a new line of probability theory. This line studies eventological motion of random-fuzzy events (eventological motion of events motion of matter or motion of mind changing the eventological distributions), introduces the...

A new approach to portfolio analysis of financial market risks by random set tools is considered. Despite many attempts, the consistent and global modeling of financial markets remains an open problem. In particular it remains a challenge to find a simple and tractable economic and probabilistic...

The paper introduces new notion for the set-valued mean set of a random set. The means are defined as families of sets that minimize mean distances to the random set. The distances are determined by metrics in spaces of sets or by suitable generalizations. Some examples illustrate the use of the...

Elements of eventologic axiomatics are offered. Eventology [Vorobyev, 2007], a new direction of probability theory and philosophy, offers the original many-event-based approach to the description of many-agent being and co-being, entering human agents, together with his/her beliefs, directly in...

Eventologically multivariate extensions of probability theory’s limit theorems are proposed. Eventologically multivariate version of limit theorems extends its classical probabilistic interpretation and involves into its structure of dependencies of arbitrary set of events which appears in...

Elements of eventologic axiomatics are offered. Eventology [Vorobyev, 2007], a new direction of probability theory and philosophy, offers the original many-event-based approach to the description of many-agent being and co-being, entering human agents, together with his/her beliefs, directly in...

Many-events-based and many-agent eventological models of supply and demand are offered. In thesemodels new concepts of equilibrium intervals of prices and subsets of goods are introduced for the firsttime. These models follow from the eventological H-theorem (eventological generalization of...

We introduce the set-theoretic language for the element-set labelling a Cartesian product by measurable binary relations intended for the labelling, or for the naming of parts and details of the construction that we are going to propose in the theory of experience and chance, or the theory of...

The aim of the paper is the axiomatic justification of the theory of experience and chance, one of the dual halves of which is the Kolmogorov probability theory. The author’s main idea was the natural inclusion of Kolmogorov’s axiomatics of probability theory in a number of general concepts...