# Solving Fuzzy Equations

• James J. Buckley
• Esfandiar Eslami
• Thomas Feuring
Chapter
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 91)

## Abstract

In this chapter we first look at different types of solutions to the simple fuzzy linear equation $$\bar A \cdot \bar X + \bar B = \bar C$$ and then systems of fuzzy linear equations. Solving fuzzy differential equations, fuzzy difference equations and fuzzy integral equations, come later on in the book. In the applications section we also look at solving $$\bar A{\bar X^2} + \bar B\bar X = \bar C,$$, the fuzzy quadratic. At the end of the chapter we discuss fuzzy input-output analysis. Solutions to more complicated fuzzy equations are discussed in ([2], [3], [6]). Throughout this chapter, except in Section 3.5, we use triangular, and triangular shaped, fuzzy numbers. In Section 3.5 we use trapezoidal (shaped) fuzzy numbers.

## Keywords

Fuzzy Number Classical Solution Triangular Fuzzy Number Interval Arithmetic Final Demand
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Authors and Affiliations

• James J. Buckley
• 1
• Esfandiar Eslami
• 2
• Thomas Feuring
• 3
1. 1.Mathematics DepartmentUniversity of Alabama at BirminghamBirminghamUSA
2. 2.Department of MathematicsShahid Bahonar UniversityKermanIran
3. 3.Electrical Engineering and Computer ScienceUniversity of SiegenSiegenGermany