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Erschienen in:
)-Fuzzy Weak Ideal of Complemented Semirings Kapitel lesen Erstes Kapitel lesen

2016 | OriginalPaper | Buchkapitel

Interval Number Comparison and Decision Making Based on Priority Degree

verfasst von : Yun-dong Gu, Su-jie Zhang, Meng-meng Zhang

Erschienen in: International Conference on Oriental Thinking and Fuzzy Logic

Verlag: Springer International Publishing

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Abstract

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 proved 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, priority-degree based multi-criteria decision making method for uncertain problems with interval data is given and its validation is shown by an example.

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Vorheriges Kapitel Fuzzy Formulation of the Lee-Carter Model for the Mortality Forecasting with Age-Specific Enhancement
Nächstes Kapitel T-Absolute Truth Degree Theory of Formulas in Three-Valued Łukasiewicz Propositional Logic System
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Metadaten
Titel
Interval Number Comparison and Decision Making Based on Priority Degree
verfasst von
Yun-dong Gu
Su-jie Zhang
Meng-meng Zhang
Copyright-Jahr
2016
Buch
International Conference on Oriental Thinking and Fuzzy Logic

Print ISBN: 978-3-319-30873-9

Electronic ISBN: 978-3-319-30874-6

Copyright-Jahr: 2016

DOI
https://doi.org/10.1007/978-3-319-30874-6_19