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A Mathematical Programming Model to Determine Objective Weights for the Interval Extension of TOPSIS
Joint Authors
Lai, Kin Keung
Shen, Hai
Hu, Lingyu
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-28
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Technique for Order Performance by Similarity to Ideal Solution (TOPSIS) method has been extended in previous literature to consider the situation with interval input data.
However, the weights associated with criteria are still subjectively assigned by decision makers.
This paper develops a mathematical programming model to determine objective weights for the implementation of interval extension of TOPSIS.
Our method not only takes into account the optimization of interval-valued Multiple Criteria Decision Making (MCDM) problems, but also determines the weights only based upon the data set itself.
An illustrative example is performed to compare our results with that of existing literature.
American Psychological Association (APA)
Shen, Hai& Hu, Lingyu& Lai, Kin Keung. 2018. A Mathematical Programming Model to Determine Objective Weights for the Interval Extension of TOPSIS. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1207126
Modern Language Association (MLA)
Shen, Hai…[et al.]. A Mathematical Programming Model to Determine Objective Weights for the Interval Extension of TOPSIS. Mathematical Problems in Engineering No. 2018 (2018), pp.1-6.
https://search.emarefa.net/detail/BIM-1207126
American Medical Association (AMA)
Shen, Hai& Hu, Lingyu& Lai, Kin Keung. A Mathematical Programming Model to Determine Objective Weights for the Interval Extension of TOPSIS. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1207126
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207126