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2016 | OriginalPaper | Buchkapitel

Multi-distance and Fuzzy Similarity Based Fuzzy TOPSIS

verfasst von : Mikael Collan, Mario Fedrizzi, Pasi Luukka

Erschienen in: Computational Intelligence

Verlag: Springer International Publishing

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Abstract

This article introduces a new extension to fuzzy TOPSIS. In the extension we have used as a basis a fuzzy similarity based fuzzy TOPSIS that uses an additional component of multi-distance in forming a closeness coefficient. Ordered weighted averaging is also used in the aggregation process over fuzzy similarity values. For the ordered weighted averaging operator weight generation we use the O’Hagan’s method, to find optimal weights. Several different, predefined orness values are tested and an overall ranking is computed, based on the rankings resulting from multiple different orness values. The presented method is numerically applied to a research and development project selection problem.

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Literatur
1.
Zurück zum Zitat Chen, C.T.: Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets Syst. 114, 1–9 (2000)CrossRef Chen, C.T.: Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets Syst. 114, 1–9 (2000)CrossRef
2.
Zurück zum Zitat Chen, C.-T., Lin, C.-T., Huang, S.-F.: A fuzzy approach for supplier evaluation and selection in supply chain management. Int. J. Prod. Econ. 102(2), 289–301 (2006)CrossRef Chen, C.-T., Lin, C.-T., Huang, S.-F.: A fuzzy approach for supplier evaluation and selection in supply chain management. Int. J. Prod. Econ. 102(2), 289–301 (2006)CrossRef
3.
Zurück zum Zitat Luukka, P.: Fuzzy similarity in multicriteria decision-making problem applied to supplier evaluation and selection in supply chain management. Advances in Artificial Intelligence, pp. 1–9. Hindawi Publishing Corporation (2011) Luukka, P.: Fuzzy similarity in multicriteria decision-making problem applied to supplier evaluation and selection in supply chain management. Advances in Artificial Intelligence, pp. 1–9. Hindawi Publishing Corporation (2011)
4.
Zurück zum Zitat Niyigena, L., Luukka, P., Collan, M.: Supplier evaluation with fuzzy similarity based fuzzy TOPSIS with new fuzzy similarity measure. In: 13th IEEE International Symposium on Computational Intelligence and Informatics. Budapest, November, 2012 (2013) Niyigena, L., Luukka, P., Collan, M.: Supplier evaluation with fuzzy similarity based fuzzy TOPSIS with new fuzzy similarity measure. In: 13th IEEE International Symposium on Computational Intelligence and Informatics. Budapest, November, 2012 (2013)
5.
Zurück zum Zitat Collan, M., Luukka, P.: Evaluating R&D projects as investments by using an overall ranking from four new fuzzy similarity measure based TOPSIS variants. IEEE Trans. Fuzzy Syst. 26(6), 1–11 (2013) Collan, M., Luukka, P.: Evaluating R&D projects as investments by using an overall ranking from four new fuzzy similarity measure based TOPSIS variants. IEEE Trans. Fuzzy Syst. 26(6), 1–11 (2013)
6.
Zurück zum Zitat Hejazi, S.R., Doostparast, A., Hosseini, S.M.: An improved fuzzy risk analysis based on a new similarity measures of generalized fuzzy numbers. Expert Syst. Appl. 38(8), 1–7 (2011)CrossRef Hejazi, S.R., Doostparast, A., Hosseini, S.M.: An improved fuzzy risk analysis based on a new similarity measures of generalized fuzzy numbers. Expert Syst. Appl. 38(8), 1–7 (2011)CrossRef
7.
Zurück zum Zitat Martin, J., Mayor, G.: Some properties of multi-argument distances and Fermat multidistance. In: Proceedings of IPMU 2010, pp. 703-711 (2010) Martin, J., Mayor, G.: Some properties of multi-argument distances and Fermat multidistance. In: Proceedings of IPMU 2010, pp. 703-711 (2010)
9.
Zurück zum Zitat Brunelli, M., Fedrizzi, M., Fedrizzi, M., Molinari, F.: On some connections between multidistances and valued m-ary adjancency relations, Advances on computational intelligence. In: Proceedings of the 14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, vol. 297, Part I, pp. 201–207. Catania, Italy, 9–13 July 2012 Brunelli, M., Fedrizzi, M., Fedrizzi, M., Molinari, F.: On some connections between multidistances and valued m-ary adjancency relations, Advances on computational intelligence. In: Proceedings of the 14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, vol. 297, Part I, pp. 201–207. Catania, Italy, 9–13 July 2012
11.
Zurück zum Zitat Shepard, R.N.: Toward a universal law of generalization for psychological science. Science 237, 1317–1323 (1987)MathSciNetCrossRef Shepard, R.N.: Toward a universal law of generalization for psychological science. Science 237, 1317–1323 (1987)MathSciNetCrossRef
12.
Zurück zum Zitat Chen, S.H.: Operations on fuzzy numbers with function principal. Tamkang J. Manag. Sci. 6(1), 13–25 (1985) Chen, S.H.: Operations on fuzzy numbers with function principal. Tamkang J. Manag. Sci. 6(1), 13–25 (1985)
13.
Zurück zum Zitat Yager, R.R.: On ordered weighted averaging operators in multicriteria decision making. IEEE Trans. Syst. Man Cybern. 18, 183–190 (1988)CrossRef Yager, R.R.: On ordered weighted averaging operators in multicriteria decision making. IEEE Trans. Syst. Man Cybern. 18, 183–190 (1988)CrossRef
14.
Zurück zum Zitat O’Hagan, M.: Aggregating template or rule antecedents in real time expert systems with fuzzy set logic. In: Proceedings of 22nd Annual IEEE Asilomar Conference on Signals, Systems, Computers, pp. 681–689. Pacific Grove, California (1988) O’Hagan, M.: Aggregating template or rule antecedents in real time expert systems with fuzzy set logic. In: Proceedings of 22nd Annual IEEE Asilomar Conference on Signals, Systems, Computers, pp. 681–689. Pacific Grove, California (1988)
15.
Zurück zum Zitat Fullér, R., Majlander, P.: An analytical approach for obtaining maximal entropy OWA operator weights. Fuzzy Sets Syst. 124, 53–57 (2001)CrossRef Fullér, R., Majlander, P.: An analytical approach for obtaining maximal entropy OWA operator weights. Fuzzy Sets Syst. 124, 53–57 (2001)CrossRef
16.
Zurück zum Zitat Kaufmann, M., Gupta, M.: Fuzzy Mathematical Models in Engineering and Management Science. Elsevier, New York (1988) Kaufmann, M., Gupta, M.: Fuzzy Mathematical Models in Engineering and Management Science. Elsevier, New York (1988)
17.
Zurück zum Zitat Socorro, M., García-Cascales, M., Lamata, T.: Solving a decision problem with linguistic information. Pattern Recognit. Lett. 28(16), 2284–2294 (2007). Elsevier Socorro, M., García-Cascales, M., Lamata, T.: Solving a decision problem with linguistic information. Pattern Recognit. Lett. 28(16), 2284–2294 (2007). Elsevier
18.
Zurück zum Zitat Cui, Z.X., Yoo, H.K., Choi, J.Y., Youn, H.Y., Multi-criteria group decision making with fuzzy logic and entropy based weighting. In: Proceedings of the 5th ICUIMC’11, pp. 1–7. Feb 2011 Cui, Z.X., Yoo, H.K., Choi, J.Y., Youn, H.Y., Multi-criteria group decision making with fuzzy logic and entropy based weighting. In: Proceedings of the 5th ICUIMC’11, pp. 1–7. Feb 2011
19.
Zurück zum Zitat Hassanzadeh, F., Collan, M., Modarres, M.: A practical approach to R&D portfolio selection using fuzzy set theory. IEEE Trans. Fuzzy Syst. 20, 615–622 (2012)CrossRef Hassanzadeh, F., Collan, M., Modarres, M.: A practical approach to R&D portfolio selection using fuzzy set theory. IEEE Trans. Fuzzy Syst. 20, 615–622 (2012)CrossRef
Metadaten
Titel
Multi-distance and Fuzzy Similarity Based Fuzzy TOPSIS
verfasst von
Mikael Collan
Mario Fedrizzi
Pasi Luukka
Copyright-Jahr
2016
Verlag
Springer International Publishing
DOI
https://doi.org/10.1007/978-3-319-23392-5_13