| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4943813 | Fuzzy Sets and Systems | 2017 | 20 Pages |
Abstract
In this paper we study several types of systems of fuzzy relation equations and inequalities composed of a given family of fuzzy relations between two sets and two unknown fuzzy relations on these sets. Solutions to these systems are pairs of fuzzy relations on the underlying sets and can be ordered coordinatewise. We show that solutions to each of these systems form a complete lattice, and provide procedures for computing the greatest solution which is less than or equal to a given pair of fuzzy relations. We also demonstrate the application of solutions to these systems in data reduction.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Ivan StankoviÄ, Miroslav ÄiriÄ, Jelena IgnjatoviÄ,