Complex fuzzy systems exist in many applications and effective visualisation is required to gain insights into the nature and working of these systems, especially in the implication of imprecision, its propagation and impacts on the quality and reliability of the outcomes. This paper presents a holistic approach towards the design of a visualisation system for fuzzy systems. We firstly analyse ...

The aim of this work is to analyze the interval canonical representation for fuzzy QL-implications and automorphisms. Intervals have been used to model the uncertainty of a specialist’s information related to truth values in the fuzzy propositional calculus: the basic systems are based on interval fuzzy connectives. Thus, using subsets of the real unit interval as the standard sets of truth deg...

An issue in extending databases is to increase the expressiveness of query languages. Based on fuzzy set theory, flexible querying enables users to express preferences inside requirements. Quantifications and preferences on data have led us to define the notion of gradual integers (Nf). This framework has been extended to Zf and Qf, in order to dealing with queries based on difference or divisi...

This paper investigates, from an experimental point of view, the use of graded inclusions, from fuzzy sets theory, to model an information retrieval system (IRS) as theoretically proposed by (Bosc et al., 2008b). Documents and queries are represented by fuzzy sets, which are paired with fuzzy operators. It is shown that the fuzzy logic settings are crucial in order to obtain a system suited for...

In this article, a fuzzy rule based model is developed for the operation of a single purpose reservoir. The model operates on an ‘if – then’ principle, where the ‘if’ is a vector of fuzzy premises and the ‘then’ is a vector of fuzzy consequences. The steps involved in the development of the model include, construction of membership functions for the inflow, storage, demand and the release, form...

Classical ontologies are not suitable to represent imprecise nor uncertain pieces of information. Fuzzy Description Logics were born to represent the former type of knowledge, but they require an appropriate fuzzy language to be agreed and an important number of available resources to be adapted. This paper faces these problems by presenting a reasoning preserving procedure to obtain a crisp re...

I. The need for comparative evaluation of performance of different systems of fuzzy connectives in soft computing applications This paper continues our work on developing new methods and tools for comparative assessment of the adequacy of diierent many-valued implication operators and other fuzzy connectives. To deal with the problem of selecting the optimal fuzzy logic connectives, new methods...