This book offers a timely report on keytheories and applications of soft-computing. Written in honour of ProfessorGaspar Mayor on his 70th birthday, it primarily focuses on areas related to hisresearch, including fuzzy binary operators, aggregation functions,multi-distances, and fuzzy consensus/decision models. It also discusses anumber of interesting applications such as the implementation of fuzzymathematical morphology based on Mayor-Torrens t-norms. Importantly, thedifferent chapters, authored by leading experts, present novel results andoffer new perspectives on different aspects of Mayor’s research. The book alsoincludes an overview of evolutionary fuzzy systems, a topic that is not one of Mayor’s main areas of interest, and a final chapterwritten by the Spanish pioneer in fuzzylogic, Professor E. Trillas. Computer and decision scientists, knowledgeengineers and mathematicians alike will find here an authoritative overview ofkey soft-computing concepts and techniques.