Ranking Method of Interval Numbers Based on Quantity Property

Fa Chao Li; Jing Li; Bing Wu

doi:10.4028/www.scientific.net/AMM.63-64.25

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 63-64Ranking Method of Interval Numbers Based on...

Ranking Method of Interval Numbers Based on Quantity Property

Abstract:

The uncertainty of objective environment and subjective recognition often leads to practical problems appeared in the form of interval numbers. Therefore, studying on the ranking of interval numbers has great worth in theory and practice. In this paper, firstly, we put forward a compound quantification description of interval numbers; furthermore, provide a ranking method based on quantity property and the basic principle this method must followed; after that, combining with the compound quantification description, we get an axiomatic system for the synthesizing problem of each index; finally, study on the structural method of synthesizing effect function, give two types of specific building criteria(i.e. additive and multiplicative model) and discuss the order-preserving property of this order structure.

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Periodical:

Applied Mechanics and Materials (Volumes 63-64)

Pages:

25-28

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.63-64.25

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Online since:

June 2011

Authors:

Fa Chao Li, Jing Li, Bing Wu

Keywords:

Compound Quantification Strategy, Interval Number, Order Structure, Quantity Property, Synthesizing Effect Function

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References

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