Ranking of fuzzy numbers by fuzzy mapping

In this work, the concepts of interval function, the mean value and α lower percentile of a fuzzy number are presented. Also, we defined a large family of fuzzy numbers. Then, we obtained a method to rank them. Herein, the approach proposed is relatively simple in terms of computational efforts and...

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Bibliographic Details
Published inInternational journal of computer mathematics Vol. 88; no. 8; pp. 1603 - 1618
Main Authors Asady, B., Akbari, M., Keramati, M. A.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 01.05.2011
Taylor & Francis Ltd
Subjects
Comparative analysis
Computational mathematics
Computer simulation
defuzzification
Fuzzy
Fuzzy logic
fuzzy mapping
fuzzy metric
fuzzy number
Fuzzy set theory
Fuzzy sets
Fuzzy systems
Mathematical analysis
Mathematical functions
Mathematical models
Numerical analysis
Ranking
Ratings & rankings
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Summary:In this work, the concepts of interval function, the mean value and α lower percentile of a fuzzy number are presented. Also, we defined a large family of fuzzy numbers. Then, we obtained a method to rank them. Herein, the approach proposed is relatively simple in terms of computational efforts and is efficient for ranking fuzzy numbers. Finally, the method is illustrated by numerical examples and compared with other methods.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160.2010.518757