Despite the popularity and practical importance of fuzzy inference system (FIS), use an FIS model as n -ary aggregation function, which is characterized by both monotonicity boundary properties, yet to be established. This because research on ensuring that models satisfy property, i.e., monoton...

Reaching a high level of consensus among experts is critical in group decision making problems. Usually, it is the moderator task to assure that the consensus process is carried out properly and, if possible, to offer recommendations to the expert in order to change their opinions and narrow their differences. In this paper we present an implemented web based consensus support system that is ab...

Methodology for Designing a Fuzzy Resolver for a Radial Distribution System Fault Locator. (December 2005) Jun Li, B.Eng.; M.Eng., Xi’an Jiaotong University Chair of Advisory Committee: Dr. Karen L. Butler-Purry Dr. B. Don Russell The Power System Automation Lab at Texas A&M University developed a fault location scheme that can be used for radial distribution systems. When a fault occurs, the s...

Recently the distributive equations involving various classes of aggregation operators have aroused widespread attention because of their importance in the theoretic and applied communities of fuzzy set theory. 2-uninorms and semi-t-operators are two special classes of aggregation operators and have been proved to be useful in many areas such as fuzzy decision making, approximate reasoning and ...

We introduce a new way to visualize the behavior of aggregation operators based on the analogy with a balance. The use of an analogy permits an intuitive representation of the operator. This metaphor is enough general to include operators of the most common aggregation families. So we obtain a general framework, that allows us to compare the different existing operators. In this paper we will s...

The power of different intelligent techniques, such as Artificial Neural Networks (ANNs), have been demonstrated over the years by their successful use in many types of problems with different degrees of complexity and in different fields of application. However, the use of a machine learning solution involves choosing a particular model and properly tuning a set of parameters that, together, c...

Mathematical Fuzzy Logic (MFL) started as the study of logics based on left-continuous t-norms,1 most prominently Łukasiewicz logic Ł, Gödel–Dummett logic G, Product logic Π, Hájek logic BL, and the system MTL introduced by Esteva and Godo. In the last years, the scope of MFL has been progressively expanded by considering weaker logical systems characterized by their completeness with respect t...

Erhard Aichinger (Johannes Kepler University Linz) A remark on the composition of polynomial functions over algebraically closed fields In 1969, M. D. Fried and R. E. MacRae proved that for univariate polynomials p, q, f, g ∈ K[t] (K a field) with p, q nonconstant, p(x)− q(y) divides f(x)− g(y) in K[x, y] if and only if there is h ∈ K[t] such that f = h(p(t)) and g = h(q(t)). In 1995, F. Binder...