A New Approach to Derive Priority Weights from Additive Interval Fuzzy Preference Relations Based on Logarithms
Joint Authors
Zhang, Hongjun
Hao, Wenning
Yin, Chengxiang
Qi, Xiuli
Kang, Xingdang
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-23
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper investigates the consistency definition and the weight-deriving method for additive interval fuzzy preference relations (IFPRs) using a particular characterization based on logarithms.
In a recently published paper, a new approach with a parameter is developed to obtain priority weights from fuzzy preference relations (FPRs), then a new consistency definition for the additive IFPRs is defined, and finally linear programming models for deriving interval weights from consistent and inconsistent IFPRs are proposed.
However, the discussion of the parameter value is not adequate and the weights obtained by the linear models for inconsistent IFPRs are dependent on alternative labels and not robust to permutations of the decision makers’ judgments.
In this paper, we first investigate the value of the parameter more thoroughly and give the closed form solution for the parameter.
Then, we design a numerical example to illustrate the drawback of the linear models.
Finally, we construct a linear model to derive interval weights from IFPRs based on the additive transitivity based consistency definition.
To demonstrate the effectiveness of our proposed method, we compare our method to the existing method on three numerical examples.
The results show that our method performs better on both consistent and inconsistent IFPRs.
American Psychological Association (APA)
Kang, Xingdang& Hao, Wenning& Zhang, Hongjun& Qi, Xiuli& Yin, Chengxiang. 2018. A New Approach to Derive Priority Weights from Additive Interval Fuzzy Preference Relations Based on Logarithms. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1207064
Modern Language Association (MLA)
Kang, Xingdang…[et al.]. A New Approach to Derive Priority Weights from Additive Interval Fuzzy Preference Relations Based on Logarithms. Mathematical Problems in Engineering No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1207064
American Medical Association (AMA)
Kang, Xingdang& Hao, Wenning& Zhang, Hongjun& Qi, Xiuli& Yin, Chengxiang. A New Approach to Derive Priority Weights from Additive Interval Fuzzy Preference Relations Based on Logarithms. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1207064
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207064