This book has been written to commemorate the 70th birthday of the Prof. Gaspar Mayor, a full Professor at the University of the Balearic Islands (UIB) and a prolific researcher in the areas of fuzzy sets and information aggregation. The book includes 14 chapters which deal with different topics on fuzzy logic, aggregation functions, multidistances, fuzzy consensus models, fuzzy decision models, and so on. Most of them are related to some publications of Prof. Gaspar Mayor or to his area of interest. Nowadays, there are several monographs and books related to the topics of this book, but in essence they are rather different. The book contains nice and original contributions or reviews, authored by some of the most outstanding researchers in the field, for this reason it will be very useful both for the novel researchers and the seniors. The book also contains some chapters focussed on different fields of application of the mentioned areas. In general, the target audience of this book are computer scientists, knowledge engineers and decision scientists, as well as mathematicians.

Preface vii

Gaspar Mayor: A Prolific Career on Fuzzy Sets and Aggregation Functions 1

Smooth Finite T-norms and Their Equational Axiomatization 11

Associative Copulas: A Survey 25

Powers with Respect to t-Norms and t-Conorms and Aggregation Functions 41

Modus Tollens on Fuzzy Implication Functions Derived from Uninorms 49

A Survey of Atanassov's Intuitionistic Fuzzy Relations 65

On Weighting Triangles Using Fuzzy Relations and Its Application to Aggregation Functions 79

New Advances in the Aggregation of Asymmetric Distances. The Bounded Case 101

Multidistances and Dispersion Measures 123

Soft Consensus Models in Group Decision Making 135

Relation Between AHP and Operators Based on Different Scales 155

Evolutionary Fuzzy Systems: A Case Study in Imbalanced Classification 169

Mayor-Torrens t-norms in the Fuzzy Mathematical Morphology and Their Applications 201

A Short Dialogue Concerning 'What Is' and 'What Is Not' with Imprecise Words 237

中科院文献情报中心 中国科学技术信息研究所