This paper has taken into advantage the relationship between Fuzzy Relation Equations
(FRE) and Concept Lattices in order to introduce a procedure to reduce a FRE, without …

Implications pairs, adjoint pairs and adjoint triples provide general residuated structures
considered in different mathematical theories. In this paper, we carry out a deep study on the …

Abstract Systems of fuzzy relational equations belong to key mathematical problems related
to the correct behavior of fuzzy systems, especially of fuzzy inference systems. Indeed, if we …

Fuzzy relation equations (FRE) are a useful formalism with a broad number of applications
in different computer science areas. Testing if a solution exists and, if so, computing the …

Information extraction from an L-fuzzy context becomes a hard problem when we work with a
large set of objects and/or attributes. The goal of this paper is to present two different and …

Rough set theory is an important tool to extract knowledge from relational databases. The
original definitions of approximation operators are based on an indiscernibility relation …

IMPACT ZADEH’S THEORY TO ALGEBRAIC STRUCTURES. MULTI-ADJOINT ALGEBRAS 1.
Introduction From the introduction of fuzzy sets by L Page 1 TWMS J. Pure Appl. Math., V.12 …

This paper studies the resolution of sup-inequalities and sup-equations with bounded
variables such that the sup-composition is defined by using different residuated operators of …

Negations operators have been developed and applied in many fields such as image
processing, decision making, mathematical morphology, fuzzy logic, etc. One of the most …

A multi-adjoint fuzzy relation equation is defined from a sup-composition operator, which
combines different conjunctions. The choice of such compositions has a direct impact on the …