# COMPLEMENTARY SITUATIONS

**Author(s):**
Dulin Sergey Konstantinovich, Tsvetkov Viktor Yakovlevich, Schennikov Alexey Nikolaevich

**Rubric:**
Methodological research

**DOI: **
10.21777/2500-2112-2020-1-75-82

**Release:**
2020-1 (30)

**Pages:**
75-82

**Keywords:**
complementarity, complementary set of indexes, optimization, information situation, information correspondence

**Annotation:**
The article examines complementarity as an important property in the organization of information and educational resources is explored. Complementarity is considered from the position of a polysemic concept and is studied as a means of optimization. A mathematical model of a complementary system is presented in the form of equations and conditions that define the domain of existence of an optimal solution. The concept of “complementary set of indexes”, the essence of which consists in the task computationally tractable logic conditions that determine the solution path. The representation of an information situation in which complementary conditions are equifinal, that is, they allow us to get the correct solution in different ways is proposed. The situations of complementarity and information correspondence that can be used for constructing logical inference in artificial intelligence systems are considered. An example of linear complementarity equations that are used for optimization is presented. The given mathematical apparatus makes it possible to assess the degree of complementarity and information correspondence of the objects under consideration. Applying the complementarity and information correspondence approach in algorithmic models of an information system will increase the efficiency of information processes and object management.

**Bibliography:**
Dulin SE.KO., Tsvetkov VI.YA., Schennikov AL.NI. COMPLEMENTARY SITUATIONS // Education Resources and Technologies. – 2020. – № 1 (30). – С. 75-82. doi: 10.21777/2500-2112-2020-1-75-82