Journal ArticleDOI
The functional equations of Frank and Alsina for uninorms and nullnorms
TLDR
The aim of this work is to study the functional equations of Frank and Alsina for two classes of commutative, associative and increasing binary operators, one of which is the class of uninorms introduced by Yager and Rybalov and the other is theclass of nullnorms arising from the study of the Frank equation for uninormS.About:
This article is published in Fuzzy Sets and Systems.The article was published on 2001-06-18. It has received 343 citations till now.read more
Citations
More filters
Book
Aggregation Functions: A Guide for Practitioners
TL;DR: A broad introduction into the topic of aggregation functions, and provides a concise account of the properties and the main classes of such functions, including classical means, medians, ordered weighted averaging functions, Choquet and Sugeno integrals, triangular norms, conorms and copulas, uninorms, nullnorms, and symmetric sums.
Book ChapterDOI
Aggregation operators: properties, classes and construction methods
TL;DR: In this article, the authors restrict their considerations regarding inputs as well as outputs to some fixed interval (scale) I = [a, b] ⊑ [-∞, ∞].
Journal ArticleDOI
On the use of aggregation operations in information fusion processes
Didier Dubois,Henri Prade +1 more
TL;DR: The role of the existing body of fuzzy set aggregation operations in various kinds of problems where the process of fusion of items coming from several sources is central is discussed.
Journal ArticleDOI
Aggregation functions: Construction methods, conjunctive, disjunctive and mixed classes
TL;DR: This second part of this state-of-the-art overview on aggregation theory focuses on several construction methods for aggregation functions and on special classes of aggregation functions, covering the well-known conjunctive, disjunctive, and mixed aggregation functions.
Journal ArticleDOI
Fuzzy neural networks and neuro-fuzzy networks: A review the main techniques and applications used in the literature
TL;DR: It is concluded that the fuzzy neural network models and their derivations are efficient in constructing a system with a high degree of accuracy and an appropriate level of interpretability working in a wide range of areas of economics and science.
References
More filters
Book
Fuzzy Preference Modelling and Multicriteria Decision Support
János Fodor,Marc Roubens +1 more
TL;DR: This dissertation aims to provide a history of web exceptionalism from 1989 to 2002, a period chosen in order to explore its roots as well as specific cases up to and including the year in which descriptions of “Web 2.0” began to circulate.
Journal ArticleDOI
Fuzzy sets and their applications to cognitive and decision processes
TL;DR: By providing a basis for a systematic approach to approximate reasoning, the theory of fuzzy sets may well have a substantial impact on scientific methodology in the years ahead, particularly in the realms of psychology, economics, law, medicine, decision analysis, information retrieval, and artificial intelligence.
Journal ArticleDOI
Uninorm aggregation operators
TL;DR: A generalization of the t-norm and t-conorm called the uni-norm is defined and a class of operators called RQ-star aggregation operators which are useful for aggregations guided by imperatives such as “if most of the scores are above the identity take the Max else use the Min” are introduced.