Ranking methods for fuzzy numbers: The solution to Brunelli and Mezei's conjecture

In this study, a solution to the conjecture presented by M. Brunelli and J. Mezei is proposed. As per the subject solution, it is demonstrated that two ranking methods proposed by Yager and Nakamura induce the same ranking for all fuzzy numbers.

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Bibliographic Details
Published inFuzzy sets and systems Vol. 315; pp. 109 - 113
Main Authors Kim, Jae Duck, Moon, Eunho L., Jeong, Eunjin, Hong, Dug Hun
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.05.2017
Subjects
Fuzzy numbers
Ordering of fuzzy quantities
Ranking methods
Ranking methods
Fuzzy numbers
Ordering of fuzzy quantities
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Summary:In this study, a solution to the conjecture presented by M. Brunelli and J. Mezei is proposed. As per the subject solution, it is demonstrated that two ranking methods proposed by Yager and Nakamura induce the same ranking for all fuzzy numbers.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2016.03.002