Signed Decomposition of Fully Fuzzy Linear Systems

System of linear equations is applied for solving many problems in various areas of applied sciences. Fuzzy methods constitute an important mathematical and computational tool for modeling real-world systems with uncertainties of parameters. In this paper, we discuss about fully fuzzy linear systems in the form AX = b (FFLS). A novel method for finding the non-zero fuzzy solutions of these systems is proposed. We suppose that all elements of coefficient matrix A are positive and we employ parametric form linear system. Finally, Numerical examples are presented to illustrate this approach and its results are compared with other methods

Control of the Reliability of Textual Information in Documents Based on Neuro-Fuzzy Identification

Constructive approaches, methods, algorithms and a software package for improving the reliability of transmission and processing of electronic documents in electronic document management systems based on soft computing have been developed. The methods of parametric identification, linear, non-linear functional dependencies, identifiers and approximators of fuzzy models, as well as neural networks have been studied. Knowledge bases of fuzzy rules and databases are implemented. Modified operators of the genetic algorithm are proposed, which are tied into the structure of mechanisms for fuzzy control of the reliability of texts of electronic documents

Sensitivity Study of a Class of Fuzzy Control Systems

The paper performs the sensitivity study with respect to the parametric variations of the controlled plant in case of a class of fuzzy control systems dedicated to servo systems. The presentation is particularized to fuzzy control systems to solve the tracking control problem in case of wheeled mobile robots of tricycle type with two degrees of freedom. There is proposed a new development method for Takagi-Sugeno PI-fuzzy controllers based on the application of the Extended Symmetrical Optimum method to the basic linear PI controllers in a cascaded control system structure. There are derived sensitivity models, validated by considering a case study concerning the speed control of a servo system with DC motor as actuator in mobile robot control. Experimental results validate the development method for Takagi-Sugeno PI-fuzzy controllers

General Dual Fuzzy Linear Systems

Abstract This paper mainly intends to discuss the solution of fully fuzzy linear systems (FFLS) Ax + b = Cx + d, where A and C are fuzzy matrices, b and d are fuzzy vectors. We transform the systems by using fuzzy numbers with a new parametric form for finding a fuzzy vector x that satisfies in the system