The target audience of this book are computer scientists, system architects, knowledge
engineers and programmers, who face a problem of combining various inputs into a single …

In this first chapter of Part I, we discuss families of fuzzy implications obtained from binary
operations on the unit interval [0, 1], ie, from basic fuzzy logic connectives, viz., t-norms, t …

One of the key operations in fuzzy logic and approximate reasoning is the fuzzy implication,
which is usually performed by a binary operator, called an implication function or, simply, an …

This paper aims to compile the main results published in the literature on the study of logical
connectives defined on finite chains, as well as to establish relationships between different …

Indistinguishability operators are essential tools in fuzzy logic since they fuzzify the concepts
of equivalence relation and crisp equality. This book collects all the main aspects of these …

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 …

Ordinal sums have been introduced in many different contexts, eg, for posets, semigroups, t-
norms, copulas, aggregation operators, or quite recently for hoops. In this contribution, we …

This paper wants to be a compilation of the different existing classes of uninorms. From their
introduction, uninorms have been extensively studied not only as aggregation operators but …

In this paper the characterization of idempotent uninorms given in [21] is revisited and some
technical aspects are corrected. Examples clarifying the situation are given and the same …

The management of hesitant fuzzy information is a topic of special interest in fuzzy decision
making. In this paper, we focus on the use and properties of the fuzzy linguistic modelling …