Fuzzy dual numbers. Theory and applications
type: Item
instance of: scholarly article
title: Fuzzy dual numbers. Theory and applications
zbMATH Open document ID: 1462.03005
DOI: 10.1007/978-3-319-65418-8
author: Felix Mora-Camino
author: Carlos Alberto Nunes Cosenza
published in: Studies in Fuzziness and Soft Computing
publication date: 2018-01-31T00:00:00Z
review text: This book concentrates on a special class of fuzzy numbers, fuzzy dual numbers which are at the crossroad between classical fuzzy numbers and dual numbers in an attempt to take benefits from the properties of both of them. Besides offering a guide to their properties, operations, and applications, it discusses some of their advantages concerning 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 the necessary theoretical background to apply this particular subset of fuzzy numbers to decision-making problems involving uncertainty. Thus, fuzzy dual calculus has been developed in such a way that the interpretation of their dual part as an uncertainty level remains valid through the basic operations with these numbers. Further, it shows how to solve selected engineering and management problems and includes detailed numerical examples. May be deemed that the approach developed in this book provides a way to tackle a large class of analysis and optimization problems under uncertainty with possible respect between the accuracy of the representation of uncertainty and the resulting computer load.
reviewed by: Barbara Pekala
Mathematics Subject Classification ID: 03-02
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 26E50
Mathematics Subject Classification ID: 90C70
zbMATH DE Number: 6833068
zbMATH Keywords: fuzzy dual numbers
zbMATH Keywords: fuzzy dual calculus
zbMATH Keywords: fuzzy dual LMI
zbMATH Keywords: fuzzy dual probabilities
zbMATH Keywords: fuzzy dual entropy
zbMATH Keywords: fuzzy dual linear programming
zbMATH Keywords: fuzzy dual dynamic programming
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-319-65418-8
OpenAlex ID: W4237302450
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description: scientific article; zbMATH DE number 6833068