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Big Data Analytics and Fuzzy Technology: Extracting Information from Social Data Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Rankings and Total Orderings on Sets of Generalized Fuzzy Numbers

Authors : Li Zhang, Zhenyuan Wang

Published in: Recent Developments and the New Direction in Soft-Computing Foundations and Applications

Publisher: Springer International Publishing

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Abstract

Ranking and ordering generalized fuzzy numbers are hot topics in decision making under uncertainty. By extension principle, addition and multiplication of generalized fuzzy numbers are presented for establishing goodness criteria. This paper initially proposes four criteria for judging the goodness of a given ranking or total ordering defined on a set of generalized fuzzy numbers and then discusses the methods of rankings and total orderings which satisfy these goodness criteria. Besides, the cardinality of the set of all generalized fuzzy numbers is, for the first time, determined.

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Metadata
Title
Rankings and Total Orderings on Sets of Generalized Fuzzy Numbers
Authors
Li Zhang
Zhenyuan Wang
Copyright Year
2018
Book
Recent Developments and the New Direction in Soft-Computing Foundations and Applications

Print ISBN: 978-3-319-75407-9

Electronic ISBN: 978-3-319-75408-6

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-75408-6_9

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