Software for Solving Fully Fuzzy Linear Systems with Rectangular Matrix

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Abstract

The article discusses the problem of solving a fully fuzzy linear system of equations with a fuzzy rectangular matrix and a fuzzy right-hand side described by fuzzy triangular numbers in a form of deviations from the mean. A solution algorithm based on finding pseudo-solutions of systems of linear equations and corresponding software is formed. Various examples of created software application for arbitrary fuzzy linear systems are given.

General Information

Keywords: fuzzy numbers, fully fuzzy linear system of equations, triangular numbers, pseudo-inverse matrix, pseudo-solution

Journal rubric: Numerical Methods

Article type: scientific article

DOI: https://doi.org/10.17759/mda.2020100108

For citation: Panteleev A.V., Saveleva V.S. Software for Solving Fully Fuzzy Linear Systems with Rectangular Matrix. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 2020. Vol. 10, no. 1, pp. 129–139. DOI: 10.17759/mda.2020100108. (In Russ., аbstr. in Engl.)

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Information About the Authors

Andrey V. Panteleev, Doctor of Physics and Matematics, Professor, Head of the Department of Mathematical Cybernetics, Institute of Information Technologies and Applied Mathematics, Moscow Aviation Institute (National Research University), Moscow, Russia, ORCID: https://orcid.org/0000-0003-2493-3617, e-mail: avpanteleev@inbox.ru

Vera S. Saveleva, Undergraduate Student of the Faculty of Information Technology and Applied Mathematics, Moscow Aviation Institute (National Research University), Moscow, Russia, e-mail: verassavel@mail.ru

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