Fuzzy implications are a generalization of the classical two-valued implication to the multi-
valued setting. They play a very important role both in the theory and applications, as can be …

The Bandler–Kohout subproduct (BKS) method is one of the two widely acknowledged fuzzy
relational inference (FRI) schemes. The previous works related to its stability and robustness …

The problem of solving max-min fuzzy relational equations is investigated. First, we show
that if there is a solution, then there is a corresponding solution within the set of parameters …

Motivated by several problems on constructions, algebraic properties, in particular the law of
importation (LI) and the flexible ordering property (FOP), and applications in approximate …

This paper presents an R package that supports the use of fuzzy relational calculus and
linguistic fuzzy logic in data processing applications. The lfl package enables computing …

In many modelling problems, there is some inherent monotone relationship between one or
more of the input variables and the output variable. We consider the prototypical case of an …

The study of fuzzy relations forms an important fundamental of fuzzy reasoning. Among all,
the research on compositional fuzzy relations by Bandler and Kohout, or the Bandler …

Abstract Fuzzy Modus Ponens (FMP) and Fuzzy Modus Tollens (FMT) are two fundamental
patterns of approximate reasoning. Suppose A and B are fuzzy predicates and “IF A THEN …

In the field of fuzzy inference, the universal triple I algorithm integrated the CRI
(Compositional Rule of Inference) algorithm with the triple I algorithm. Later the triple I …

The aim of this paper is to extend the fuzzy relational compositions motivated by their
applications to medical diagnosis problem by Bandler and Kohout. These compositions …