Some Similarity Measures for Triangular Fuzzy Number and Their Applications in Multiple Criteria Group Decision-Making
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/538261 |
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| Summary: | 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. |
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| ISSN: | 1110-757X 1687-0042 |