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Soft Computing
Erschienen in: Soft Computing 8/2018

14.02.2017 | Methodologies and Application

On possibility-degree formulae for ranking interval numbers

verfasst von: Fang Liu, Li-Hua Pan, Zu-Lin Liu, Ya-Nan Peng

Erschienen in: Soft Computing | Ausgabe 8/2018

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Abstract

Since interval numbers are used to evaluate the opinions of decision makers and express the weights of alternatives in various decision making problems, it is requisite to give a feasible method to rank them. In the present paper, the two existing possibility degree formulae for ranking interval numbers are proved to be equivalent. A generalized possibility degree formula is proposed by considering the attitude of decision makers with a prescribed function. Some known possibility degree formulae for ranking interval numbers can be recovered by choosing a special function. The proposed method is applied to uniformly define the weak transitivity of interval multiplicative and additive reciprocal preference relations. Numerical examples are carried out to illustrate the new formula.
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Nächster Artikel Multidimensional knapsack problem optimization using a binary particle swarm model with genetic operations

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Metadaten
Titel
On possibility-degree formulae for ranking interval numbers
verfasst von
Fang Liu
Li-Hua Pan
Zu-Lin Liu
Ya-Nan Peng
Publikationsdatum
14.02.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 8/2018
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-017-2509-7

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