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CREDIBILITY THEORY ORIENTED PREFERENCE INDEX FOR RANKING FUZZY NUMBERS | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 7، دوره 14، شماره 6، اسفند 2017، صفحه 103-117 اصل مقاله (573.45 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2017.3500 | ||
نویسندگان | ||
Gholamreza Hesamian ![]() | ||
1Department of Statistics, Payame Noor University,, Tehran 19395-3697, Iran | ||
2Department of Mathematical Sciences,, Isfahan University of Technology,, Isfahan 84156-83111, Iran | ||
چکیده | ||
This paper suggests a novel approach for ranking the most applicable fuzzy numbers, i.e. $LR$-fuzzy numbers. Applying the $\alpha$-optimistic values of a fuzzy number, a preference criterion is proposed for ranking fuzzy numbers using the Credibility index. The main properties of the proposed preference criterion are also studied. Moreover, the proposed method is applied for ranking fuzzy numbers using target-rank-based methods. Some numerical examples are used to illustrate the proposed ranking procedure. The proposed preference criterion is also examined in order to compare with some common methods and the feasibility and effectiveness of the proposed ranking method is cleared via some numerical comparisons. | ||
کلیدواژهها | ||
Credibility index؛ $alpha$-optimistic values؛ Robustness؛ Reciprocity؛ Fuzzy target | ||
مراجع | ||
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