General fuzzy linear systems

DOI10.1016/j.amc.2006.02.027zbMath1122.15005OpenAlexW2094537731MaRDI QIDQ856120

Bing Zheng, Ke Wang

Publication date: 7 December 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.02.027

zbMATH Keywords

linear systemapproximate solutionfuzzy numbergeneralized inverseleast squares methodMoore-Penrose inversefuzzy solutionpositive matrixweak and strong solutionsfuzzy coefficientinconsistent system

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Positive matrices and their generalizations; cones of matrices (15B48) Linear equations (linear algebraic aspects) (15A06) Fuzzy algebraic structures (08A72)

Related Items (22)

Approximate solution of dual fuzzy matrix equations ⋮ Fuzzy approximate solution of positive fully fuzzy linear matrix equations ⋮ Approximate solution of LR fuzzy Sylvester matrix equations ⋮ Inconsistent fuzzy linear systems ⋮ Fuzzy LR linear systems: quadratic and least squares models to characterize exact solutions and an algorithm to compute approximate solutions ⋮ Solving fuzzy Fredholm linear integral equations using sinc method and double exponential transformation ⋮ General solutions of fully fuzzy linear systems ⋮ Solution to general fuzzy linear system and its necessary and sufficient condition ⋮ Solving fuzzy linear systems by a block representation of generalized inverse: the core inverse ⋮ Analyzing the solution of a system of fuzzy linear equations by a fuzzy distance ⋮ Fuzzy symmetric solutions of fuzzy matrix equations ⋮ Inconsistent LR fuzzy matrix equation ⋮ Finding the fuzzy solutions of a general fully fuzzy linear equation system ⋮ Inconsistent fuzzy matrix equations and its fuzzy least squares solutions ⋮ Fuzzy symmetric solutions of fuzzy linear systems ⋮ Maximal- and minimal symmetric solutions of fully fuzzy linear systems ⋮ Minimal solution of complex fuzzy linear systems ⋮ A method for solving fuzzy matrix equations ⋮ Fuzzy linear matrix equation ⋮ A new method for solving interval and fuzzy equations: linear case ⋮ Perturbation analysis for a class of fuzzy linear systems ⋮ Unnamed Item

Cites Work

• Unnamed Item
• The law of large numbers for fuzzy processes and the estimation problem
• Fuzzy eigenvalues and input-output analysis
• A comment on fuzzy linear systems.
• Successive over relaxation iterative method for fuzzy system of linear equations
• Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method
• The Adomian decomposition method for fuzzy system of linear equations
• Generalized inverses. Theory and applications.
• Numerical methods for fuzzy system of linear equations
• Fuzzy general linear systems
• Linear Regression Analysis with Fuzzy Model
• Regular Nonnegative Matrices
• Fuzzy linear systems

This page was built for publication: General fuzzy linear systems