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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.
List of contents
Fuzzy Numbers.- Dual Numbers.- Fuzzy Dual Numbers.- Fuzzy Dual Linear Matrix Inequalities.- Fuzzy Estimation of Distribution Matrices.- Fuzzy Dual Entropy and Applications.- Fuzzy Dual Programming.
Summary
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.
Additional text
“The book provides the necessary theoretical background to apply this particular subset of fuzzy numbers to decision-making problems involving uncertainty. … it shows how to solve selected engineering and management problems and includes detailed numerical examples.” (Barbara Pekala, zbMATH 1462.03005, 2021)
Report
"The book provides the necessary theoretical background to apply this particular subset of fuzzy numbers to decision-making problems involving uncertainty. ... it shows how to solve selected engineering and management problems and includes detailed numerical examples." (Barbara Pekala, zbMATH 1462.03005, 2021)
