Full Description
This book offers a timely report on key
theories and applications of soft-computing. Written in honour of Professor
Gaspar Mayor on his 70th birthday, it primarily focuses on areas related to his
research, including fuzzy binary operators, aggregation functions,
multi-distances, and fuzzy consensus/decision models. It also discusses a
number of interesting applications such as the implementation of fuzzy
mathematical morphology based on Mayor-Torrens t-norms. Importantly, the
different chapters, authored by leading experts, present novel results and
offer new perspectives on different aspects of Mayor's research. The book also
includes an overview of evolutionary fuzzy systems, a topic that is not one of Mayor's main areas of interest, and a final chapter
written by the Spanish pioneer in fuzzy
logic, Professor E. Trillas. Computer and decision scientists, knowledge
engineers and mathematicians alike will find here an authoritative overview of
key soft-computing concepts and techniques.
Contents
Gaspar Mayor: A Prolific Career on Fuzzy Sets and Aggregation Functions.- Smooth Finite T-Norms and Their
Equational Axiomatization.- Associative Copulas: A Brief Survey.- Powers
with Respect to t-norms and t-conorms and Aggregation Functions.- Modus Tollens on Fuzzy Implication
Functions Derived from Uninorms.- A Survey of Atanassov's Intuitionistic
Fuzzy Relations.- On Weighting Triangles Using Fuzzy Relations and its
Application to Aggregation Functions.- New Advances in the
Aggregation of Asymmetric Distances.The Bounded Case.- Multidistances and Dispersion Measures.- Soft
Consensus Models in Group Decision Making.- Relation Between AHP and Operators
Based on Different Scales.- Evolutionary Fuzzy Systems: A Case Study in Imbalanced Classification.- Mayor-Torrens t-norms in the
Fuzzy Mathematical Morphology and their Applications.- A Short Dialogue
Concerning "what is" and "what is not" with Imprecise Words.
