Solution of Fuzzy System of Linear Equation Under Different Fuzzy Difference Ideology
Payel Sing, Mostafijur Rahaman, Sankar Prasad Mondal Sankar
Abstract
Fuzzy arithmetic includes distinctive notions regarding differences between fuzzy numbers, which impact the defining characteristics of fuzzy-valued calculus. In this article, we consider the Hukuhara and generalized Hukuhara differences of fuzzy numbers for solving systems of linear equations under fuzzy-rule uncertainty within an analytical framework. Moreover, the discussion of solutions in parametric form includes existence and uniqueness criteria. Numerical examples and graphical representations are provided to illustrate the proposed theory.
Topics & Concepts
MathematicsUniquenessFuzzy logicParametric statisticsApplied mathematicsMathematical analysisComputer scienceArtificial intelligenceStatisticsFuzzy Systems and OptimizationNonlinear Differential Equations AnalysisFractional Differential Equations Solutions