Fuzzy Dual Numbers

Felix Mora-Camino (1) , Carlos Alberto Nunes Cosenza (2)

1 ENAC - Ecole Nationale de l'Aviation Civile
2 COPPE-UFRJ - Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia

This is the first book focusing exclusively on fuzzy dual numbers. In addition to offering a concise guide to their properties, operations and applications, it discusses some of their advantages with regard to classical fuzzy numbers, and describes the most important operations together with a set of interesting applications in e.g. optimization, decision-making and system design. The book provides students, researchers and professionals the necessary theoretical background to apply this particular subset of fuzzy numbers to decision-making problems involving uncertainty. Further, it shows how to solve selected engineering and management problems and includes detailed numerical examples.

Mots clés: Fuzzy Dual Numbers; Fuzzy Dual Calculus; Fuzzy Dual LMI; Fuzzy Dual Probabilities; Fuzzy Dual Entropy; Fuzzy Dual Linear Programming; Fuzzy Dual Dynamic Programming

Domaines: Automatique / Robotique

Felix Mora-Camino, Carlos Alberto Nunes Cosenza (Dir.). Fuzzy Dual Numbers : Theory and Applications. Springer, 359, 2018, Studies in Fuzziness and Soft Computing 978-3-319-65417-1. ⟨hal-01617534⟩