Some Similarity Measures for Triangular Fuzzy Number and Their Applications in Multiple Criteria Group Decision-Making
Joint Authors
Zhang, Liyuan
Xu, Xuanhua
Tao, Li
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-28
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We propose some similarity measures between two triangular fuzzy numbers (TFNs) based on the vector similarity measures in vector space, which can be used to aggregate the decision information with TFNs.
A methodology for multiple criteria group decision-making (MCGDM) problems with triangular fuzzy information is proposed; the criteria values take the form of linguistic values, which can be converts to TFNs.
According to the weighted similarity measures between each alternative and ideal alternative, it is easy to rank alternatives and select the most desirable alternative.
Finally, we apply the proposed methods to an illustrative example of MCGDM; the numerical results show that our method is effective and practical.
For comparison, we also apply our similarity measures method to solve the fuzzy decision-making problem in Wei (2011); our method has simpler computation and gets the same results more rapidly than the FLOWHM method.
American Psychological Association (APA)
Zhang, Liyuan& Xu, Xuanhua& Tao, Li. 2013. Some Similarity Measures for Triangular Fuzzy Number and Their Applications in Multiple Criteria Group Decision-Making. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-479691
Modern Language Association (MLA)
Zhang, Liyuan…[et al.]. Some Similarity Measures for Triangular Fuzzy Number and Their Applications in Multiple Criteria Group Decision-Making. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-479691
American Medical Association (AMA)
Zhang, Liyuan& Xu, Xuanhua& Tao, Li. Some Similarity Measures for Triangular Fuzzy Number and Their Applications in Multiple Criteria Group Decision-Making. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-479691
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479691