Model of command behavior of agents in a qualitative semiotic environment. Part 1. Qualitative functioning environment. Basic definitions and statement of the problem

The mathematical model of formation and functioning of the team of artificial intelligence agents with BDI architecture in a qualitative semiotic (sign) environment of functioning is considered in the work. As the basis of the mathematical model of the environment of functioning, the model of the multi-agent dynamic system “Group of robots-Environment” was chosen. A method for structuring the environment of functioning in the form of a partially ordered set of embedded subspaces of the state space of a dynamical system and a method for symbolizing the classes of states by symbol names that define these classes are proposed. Such a structure is defined as a qualitative conceptual framework of the environment and is called the semiotic environment of functioning. In terms of a qualitative semiotic functioning environment, a mathematical model of an intelligent agent with a BDI architecture is proposed, and the conditions for the formation and functioning of teams of intelligent agents in this environment are formulated.