Fuzzy Dual Numbers: Theory and Applications

Description

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. Front Matter ....Pages i-xiii Fuzzy Numbers (Felix Mora-Camino, Carlos Alberto Nunes Cosenza)....Pages 1-3 Dual Numbers (Felix Mora-Camino, Carlos Alberto Nunes Cosenza)....Pages 5-9 Fuzzy Dual Numbers (Felix Mora-Camino, Carlos Alberto Nunes Cosenza)....Pages 11-16 Fuzzy Dual Linear Matrix Inequalities (Felix Mora-Camino, Carlos Alberto Nunes Cosenza)....Pages 17-23 Fuzzy Estimation of Distribution Matrices (Felix Mora-Camino, Carlos Alberto Nunes Cosenza)....Pages 25-38 Fuzzy Dual Entropy and Applications (Felix Mora-Camino, Carlos Alberto Nunes Cosenza)....Pages 39-47 Fuzzy Dual Programming (Felix Mora-Camino, Carlos Alberto Nunes Cosenza)....Pages 49-57 Back Matter ....Pages 59-62