Theory and Applications of Ordered Fuzzy Numbers

Offers a comprehensive introduction to ordered fuzzy numbers

Demonstrates how to use ordered fuzzy numbers in real-world applications

Presents methods for trend modeling when only imprecise data is available

Offers a comprehensive introduction to ordered fuzzy numbers Demonstrates how to use ordered fuzzy numbers in real-world applications Presents methods for trend modeling when only imprecise data is available Includes supplementary material: sn.pub/extras

Klappentext

This book is open access under a CC BY 4.0 license.

This open access book offers comprehensive coverage on Ordered Fuzzy Numbers, providing readers with both the basic information and the necessary expertise to use them in a variety of real-world applications. The respective chapters, written by leading researchers, discuss the main techniques and applications, together with the advantages and shortcomings of these tools in comparison to other fuzzy number representation models. Primarily intended for engineers and researchers in the field of fuzzy arithmetic, the book also offers a valuable source of basic information on fuzzy models and an easy-to-understand reference guide to their applications for advanced undergraduate students, operations researchers, modelers and managers alike.

Inhalt
Introduction to fuzzy sets.- Introduction to fuzzy systems.- Ordered fuzzy numbers: sources and intuitions.- Ordered fuzzy numbers: definitions and operations.- Processing the direction with ordered fuzzy numbers.- Some cases of comparing fuzzy numbers using defuzzificators on the catalog of OFN shapes.- Two approaches to fuzzy implication.- The approach to capital budgeting under uncertainty and risk based on Ordered Fuzzy Numbers.- Input-Output Model Based on Ordered Fuzzy Numbers.- Ordered Fuzzy Candlesticks - financial data representation and analysis using Ordered Fuzzy Numbers.- Application of Ordered Fuzzy Numbers to detect trends in the Nasdaq composite index.- The OFNAnt method based on Ant Colony Optimization used to solve the TSP.- A new OFNBee method as an example of fuzzy observance applied for ABC optimization.- Fuzzy observation of DDoS attack.- Fuzzy control for secure TCP transfer.- Fuzzy Numbers applied to a heat furnace control.- Traditional vs OFN-based analysis oftemporo-spatial gait parameters.- OFN-based brain function modeling.