35 Years of Fuzzy Set Theory - Celebratory Volume Dedicated to the Retirement of Etienne E. Kerre

Special issue dedicated to the 60 th birthday of Etienne E .

The year 2005 is marked by the 40th anniversary of fuzzy set theory, as it was in 1965 that Lotfi Zadeh published his famous seminal paper that fostered the rise of a whole new community, researching theory and applications of fuzzy sets and systems. Throughout the years, fuzzy logic was frequently met with skepticism, not in the least because of its often misunderstood name. Nevertheless, our ...

On the Benefits of Representing Music Objects as Fuzzy Sets

Over the past few years, fuzzy set theory has become a well-established mathematical theory that has been applied in many practical applications. In this paper, we elaborate on the use of fuzzy sets in the context of music information retrieval. First, we demonstrate that music objects like artists and songs can straightforwardly be represented as fuzzy sets, and then we explain why it is benef...

Intuitionistic fuzzy sets and interval-valued fuzzy sets: a critical comparison

Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application

With the demand for knowledge-handling systems capable of dealing with and distinguishing between various facets of imprecision ever increasing, a clear and formal characterization of the mathematical models implementing such services is quintessential. In this paper, this task is undertaken simultaneously for the definition of implication within two settings: first, within intuitionistic fuzzy...

On dependencies and independencies of fuzzy implication axioms

A fuzzy implication, commonly defined as a two-place operation on the unit interval, is an extension of the classical binary implication. It plays important roles in both mathematical and applied sides of fuzzy set theory. Besides the basic axioms, there are many potential fuzzy implication axioms, among which eight are widely used in the literature. Different fuzzy implications satisfying diff...