The history of triangular norms started with the paper" Statistical metrics"[Menger 1942]. The
main idea of Karl Menger was to construct metric spaces where probability distributions …

Aggregation is the process of combining several numerical values into a single
representative value, and an aggregation function performs this operation. These functions …

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 …

An exhaustive study of uninorm operators is established. These operators are
generalizations of t-norms and t-conorms allowing the neutral element lying anywhere in the …

Information fusion techniques and aggregation operators produce the most comprehensive,
specific datum about an entity using data supplied from different sources, thus enabling us to …

Aggregation (fusion) of several input values into a single output value is an indispensable
tool not only of mathematics or physics, but of majority of engineering, economical, social …

We present the basic analytical and algebraic properties of triangular norms. We discuss
continuity as well as the important classes of Archimedean, strict and nilpotent t-norms …

A novel social network based group decision making (SN-GDM) model with experts' weights
not provided beforehand and with the following four tuple information: trust; distrust; …

Consistency of preferences is related to rationality, which is associated with the transitivity
property. Many properties suggested to model transitivity of preferences are inappropriate …