Abstract
The approximate numerical solution of the linear second kind of fuzzy integral Fredholm equations is discussed in this article. A new approach uses hybrid functions, and some useful properties of these functions are proposed to transform linear second type fuzzy integral Fredholm equations into an algebraic equation. The new approach is a mixture of Bernstein polynomials (BPs) and enhanced block-pulse functions (IBPFs) at interval [0, 1). The approach is appealing and very easy to implement computationally. Some numerical tests show the reliability and exactness of the suggested scheme.
Highlights
There are many fuzzy mathematical models for the analysis of fuzzy systems with applications
Fuzzy systems and neural network techniques seem very well suited for typical technical problems; for example, see [3, 4] where the generalized net model is addressed to the appraisal of lecturers with intuitionistic fuzzy estimations that represent a model of a digital university
7 Conclusion Studying many problems in the applied mathematical many topics requires are required for the solution of the fuzzy integral equations (FIEs)
Summary
There are many fuzzy mathematical models for the analysis of fuzzy systems with applications. In various cases of data collection one may identify situations, where measurements in a data sample are only partially associated with their underlying population. The presence of such data imposes challenges to any statistical procedure of the comparison of distributions or numerical characteristics of variables. Fuzzy systems and neural network techniques seem very well suited for typical technical problems; for example, see [3, 4] where the generalized net model is addressed to the appraisal of lecturers with intuitionistic fuzzy estimations that represent a model of a digital university
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