New Closeness Coefficients for Fuzzy Similarity Based Fuzzy TOPSIS: An Approach Combining Fuzzy Entropy and Multidistance
This paper introduces new closeness coefficients for fuzzy similarity based TOPSIS. The new closeness coefficients are based on multidistance or fuzzy entropy, are able to take into consideration the level of similarity between analysed criteria, and can be used to account for the consistency or hom...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2015/251646 |
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| _version_ | 1849685886708482048 |
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| author | Mikael Collan Mario Fedrizzi Pasi Luukka |
| author_facet | Mikael Collan Mario Fedrizzi Pasi Luukka |
| author_sort | Mikael Collan |
| collection | DOAJ |
| description | This paper introduces new closeness coefficients for fuzzy similarity based TOPSIS. The new closeness coefficients are based on multidistance or fuzzy entropy, are able to take into consideration the level of similarity between analysed criteria, and can be used to account for the consistency or homogeneity of, for example, performance measuring criteria. The commonly known OWA operator is used in the aggregation process over the fuzzy similarity values. A range of orness values is considered in creating a fuzzy overall ranking for each object, after which the fuzzy rankings are ordered to find a final linear ranking. The presented method is numerically applied to a research and development project selection problem and the effect of using two new closeness coefficients based on multidistance and fuzzy entropy is numerically illustrated. |
| format | Article |
| id | doaj-art-bbdf225a5fd14af4858734781193ba64 |
| institution | DOAJ |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-bbdf225a5fd14af4858734781193ba642025-08-20T03:22:54ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2015-01-01201510.1155/2015/251646251646New Closeness Coefficients for Fuzzy Similarity Based Fuzzy TOPSIS: An Approach Combining Fuzzy Entropy and MultidistanceMikael Collan0Mario Fedrizzi1Pasi Luukka2School of Business and Management, Lappeenranta University of Technology, P.O. Box 20, 53851 Lappeenranta, FinlandDepartment of Industrial Engineering, University of Trento, Via Mesiano 77, 38123 Trento, ItalySchool of Business and Management, Lappeenranta University of Technology, P.O. Box 20, 53851 Lappeenranta, FinlandThis paper introduces new closeness coefficients for fuzzy similarity based TOPSIS. The new closeness coefficients are based on multidistance or fuzzy entropy, are able to take into consideration the level of similarity between analysed criteria, and can be used to account for the consistency or homogeneity of, for example, performance measuring criteria. The commonly known OWA operator is used in the aggregation process over the fuzzy similarity values. A range of orness values is considered in creating a fuzzy overall ranking for each object, after which the fuzzy rankings are ordered to find a final linear ranking. The presented method is numerically applied to a research and development project selection problem and the effect of using two new closeness coefficients based on multidistance and fuzzy entropy is numerically illustrated.http://dx.doi.org/10.1155/2015/251646 |
| spellingShingle | Mikael Collan Mario Fedrizzi Pasi Luukka New Closeness Coefficients for Fuzzy Similarity Based Fuzzy TOPSIS: An Approach Combining Fuzzy Entropy and Multidistance Advances in Fuzzy Systems |
| title | New Closeness Coefficients for Fuzzy Similarity Based Fuzzy TOPSIS: An Approach Combining Fuzzy Entropy and Multidistance |
| title_full | New Closeness Coefficients for Fuzzy Similarity Based Fuzzy TOPSIS: An Approach Combining Fuzzy Entropy and Multidistance |
| title_fullStr | New Closeness Coefficients for Fuzzy Similarity Based Fuzzy TOPSIS: An Approach Combining Fuzzy Entropy and Multidistance |
| title_full_unstemmed | New Closeness Coefficients for Fuzzy Similarity Based Fuzzy TOPSIS: An Approach Combining Fuzzy Entropy and Multidistance |
| title_short | New Closeness Coefficients for Fuzzy Similarity Based Fuzzy TOPSIS: An Approach Combining Fuzzy Entropy and Multidistance |
| title_sort | new closeness coefficients for fuzzy similarity based fuzzy topsis an approach combining fuzzy entropy and multidistance |
| url | http://dx.doi.org/10.1155/2015/251646 |
| work_keys_str_mv | AT mikaelcollan newclosenesscoefficientsforfuzzysimilaritybasedfuzzytopsisanapproachcombiningfuzzyentropyandmultidistance AT mariofedrizzi newclosenesscoefficientsforfuzzysimilaritybasedfuzzytopsisanapproachcombiningfuzzyentropyandmultidistance AT pasiluukka newclosenesscoefficientsforfuzzysimilaritybasedfuzzytopsisanapproachcombiningfuzzyentropyandmultidistance |