Cognitive tools based on n-simplexes for decision-making and its justification in intelligent systems
Anna Yankovskaya
Tomsk State University of Architecture and Building, Russia
: J Comput Eng Inf Technol
Abstract
Cognitive tools based on n-simplexes for decision-making and their justifications in intelligent systems are given. Intelligent systems based on the matrix way of data and knowledge representation, and on test methods of pattern recognitions, and on methods fuzzy and threshold logics, decision-making and its justification using graphical tools including cognitive tools are suggested. The idea of n-simplex application, and the theorem for decision-making, and its justification for intelligent systems were proposed by author in 1990 year. The mathematical visualization of the object under investigation mapping in n-simplex is given. Application of cognitive graphics tools based on development of the 3-simplex into sets of 2-simplexes for decision-making and its justification in intelligent systems is suggested. Three way of decomposition of 3-simplex into set of 2-simplex are given. All ways consist of four 2-simplexes. The suggested ways of visualization is invariance to problem areas, increase quality of decisionmaking and allow achieving better degree justification. In this year proposed 2-simplex prism as cognitive tools for decisionmaking and its justification in intelligent dynamic systems for different problem areas: Medicine, education, biology, physics, psychology, ecology, bio-ecology, etc. 2-simplex prism contains 2-simplex which disposed in base of prism and geometrical sections. Implementation intelligent subsystem of cognitive tools for visualization, decision-making and its justification based on construction 3-simpex and 2-simplex prism in Intelligent Instrumental Software (IIS) IMSLOG are reasonable. IIS IMSLOG proposed for construction of applied intelligent system for different problem and interdisciplinary areas. IIS IMSLOG was developed in the Laboratory of Intelligent Systems of Tomsk State University of Architecture and Building.
Biography
