Comparing and ranking fuzzy numbers using ideal solutions

This paper presents a new approach for comparing and ranking fuzzy numbers in a simple manner in decision making under uncertainty. The concept of ideal solutions is sensibly used, and a distance-based similarity measure between fuzzy numbers is appropriately adopted for effectively determining the...

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Bibliographic Details
Published inApplied mathematical modelling Vol. 38; no. 5-6; pp. 1638 - 1646
Main Author Deng, Hepu
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.03.2014
Subjects
Benchmarking
Comparative study
Fuzzy numbers
Fuzzy systems
Ideal solutions
Mathematical models
Ranking
Similarity
Sound
Uncertainty
Ranking
Ideal solutions
Fuzzy numbers
Comparative study
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Summary:This paper presents a new approach for comparing and ranking fuzzy numbers in a simple manner in decision making under uncertainty. The concept of ideal solutions is sensibly used, and a distance-based similarity measure between fuzzy numbers is appropriately adopted for effectively determining the overall performance of each fuzzy number in comparing and ranking fuzzy numbers. As a result, all the available information characterizing a fuzzy number is fully utilized, and both the absolute position and the relative position of fuzzy numbers are adequately considered, resulted in consistent rankings being produced in comparing and ranking fuzzy numbers. The approach is computationally simple and its underlying concepts are logically sound and comprehensible. A comparative study is conducted on the benchmark cases in the literature that shows the proposed approach compares favorably with other approaches examined.
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ISSN:0307-904X
DOI:10.1016/j.apm.2013.09.012