On Measuring the Solvability of a Fuzzy Relation Equation

  1. Lobo, David
  2. López-Marchante, Víctor
  3. Medina, Jesús
Book:
Studies in Computational Intelligence

ISSN: 1860-949X,  1860-9503

ISBN: 9783031469787,  9783031469794

Year of publication: 2024

Pages: 9-15

Type: Book chapter

DOI: 10.1007/978-3-031-46979-4_2 GOOGLE SCHOLAR lock_openOpen access editor

Abstract

Solvability of fuzzy relation equations is a problem that often arises when it comes to modelling databases. When a fuzzy relation equation is unsolvable, it can be due to multiple reasons, as lack or excess of information. In this paper, we present a first approach on measuring the solvability of a fuzzy relation equation. Specifically, based on a recently published method for computing approximated solvable equations, we introduce three ways to measure the solvability of a fuzzy relation equation.

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