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Interval number comparison and decision making based on priority degree. (English) Zbl 1368.03055

Cao, Bing-Yuan (ed.) et al., International conference on oriental thinking and fuzzy logic. Celebration of the 50th anniversary in the era of complex systems and big data, Dalian, China, August 17–20, 2015. Cham: Springer (ISBN 978-3-319-30873-9/pbk; 978-3-319-30874-6/ebook). Advances in Intelligent Systems and Computing 443, 197-205 (2016).
Summary: Interval number ranking and the operation reduction are studied in this paper. Firstly, the priority relation of interval numbers is redefined by introducing a new priority-degree. We prove that the new priority-degree can avoid the unreasonable phenomenon that the denominator is zero when interval numbers degrade into real numbers. Then, some important comparison related concepts of the interval numbers such as totally greater than, greater than, exactly equal and equal to etc., are redefined based on the new priority-degree. We also prove that interval numbers are reducible for addition and subtraction according to the redefined equal to relation. Finally, a priority-degree based multi-criteria decision making method for uncertain problems with interval data is given and its validation is shown by an example.
For the entire collection see [Zbl 1369.03020].

MSC:

03E72 Theory of fuzzy sets, etc.
91B06 Decision theory
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