Journal
EXPERT SYSTEMS WITH APPLICATIONS
Volume 36, Issue 3, Pages 6309-6317Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.eswa.2008.08.017
Keywords
Fuzzy risk analysis; Interval-valued fuzzy numbers; Similarity measures; Upper fuzzy numbers; Lower fuzzy numbers; Interval-valued fuzzy numbers arithmetic operators
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Funding
- National Science Council, Republic of China [NSC 95-2221-E-01 1-117MY2]
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In this paper, we present a new method for fuzzy risk analysis based on a new similarity measure between interval-valued fuzzy numbers and new interval-valued fuzzy number arithmetic operators. First, we present a new similarity measure between interval-valued fuzzy numbers. The proposed similarity measure considers the similarity of the gravities on the X-axis between upper fuzzy numbers, the difference of the spreads between upper fuzzy numbers, the heights of the upper fuzzy numbers, the degree of similarity on the X-axis between interval-valued fuzzy numbers, and the gravities on the Y-axis between interval-valued fuzzy numbers. We also present three properties of the proposed similarity measure between interval-valued fuzzy numbers. Then, we present new interval-valued fuzzy number arithmetic operators. Finally, we apply the proposed similarity measure between interval-valued fuzzy numbers and the proposed interval-valued fuzzy number arithmetic operators to propose a fuzzy risk analysis algorithm to deal with fuzzy risk analysis problems. The proposed method provides a useful way for handling fuzzy risk analysis problems based on interval-valued fuzzy numbers. (C) 2008 Elsevier Ltd. All rights reserved.
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