Hong-Ren Jiang
College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, 330013, Jiangxi, China
ABSTRACT
Type 2 fuzzy sets involve more uncertainties than type 1 fuzzy sets. Interval type 2 fuzzy set are quite useful to deal with fuzziness inherent in decision data and decision making process. For Multi-Attribute Group Decision Making (MAGDM) problems in which the attribute values and attribute weights are trapezoidal interval type 2 fuzzy sets (TIT2FSs), a new decision making method is proposed. A new ranking approach for TIT2FSs is given based on barycenter. The TIT2FSs weighted arithmetic average operator, TIT2FSs ordered weighted arithmetic average operator, TIT2FSs hybrid weighted arithmetic average operator and extended TIT2FSs hybrid weighted arithmetic average operator are developed. The individual comprehensive values of alternatives are derived through the extended TIT2FSs weighted arithmetic average operators. Combining the TIT2FSs hybrid weighted arithmetic average operator and the expert weights, the collective overall attribute values of alternatives are integrated. Then, the decision making results are given according to the collective comprehensive values of alternatives. Feasibility and effectiveness of the developed method are verified and demonstrated with a teaching quality assessment example.
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Received: September 18, 2013;
Accepted: December 23, 2013;
Published: March 04, 2014
How to cite this article
Hong-Ren Jiang, 2013. Method for Multi-Attribute Group Decision Making Method Using Interval Type 2 Fuzzy Sets and Application to Teaching Quality Assessment. Information Technology Journal, 12: 8669-8679.
DOI: 10.3923/itj.2013.8669.8679
URL: https://scialert.net/abstract/?doi=itj.2013.8669.8679
DOI: 10.3923/itj.2013.8669.8679
URL: https://scialert.net/abstract/?doi=itj.2013.8669.8679
REFERENCES
- Wan, S.P. and D.F. Li, 2013. Fuzzy LINMAP approach to heterogeneous MADM considering comparisons of alternatives with hesitation degrees. Omega, 41: 925-940.
CrossRefDirect Link - Wan, S.P., 2013. Power average operators of trapezoidal intuitionistic fuzzy numbers and application to multi-attribute group decision making. Applied Math. Modell., 37: 4112-4126.
CrossRefDirect Link - Wan, S.P., 2013. 2-tuple linguistic hybrid arithmetic aggregation operators and application to multi-attribute group decision making. Knowl. Based Syst., 45: 31-40.
CrossRefDirect Link - He, X.W. and H.P. Deng, 2011. An area-based approach to ranking fuzzy numbers in fuzzy decision making. J. Comput. Inform. Syst., 7: 3333-3342.
Direct Link - Chen, L., L.C. Zhang, S.T. Wu and Y.H. Yang, 2013. Services selection method based on multiple attribute decision making theory for group user. J. Comput. Inform. Syst., 9: 2149-2156.
Direct Link - Sun, H.C. and M. Sun, 2012. Induced fuzzy number intuitionistic fuzzy aggregating operators by means of Choquet integrals and their application in multiple attribute group decision making. J. Comput. Inform. Syst., 8: 2851-2858.
Direct Link - Yu, D.J., Y.Y. Wu and W. Zhou, 2011. Multi-Criteria decision making based on Choquet integral under hesitant fuzzy environment. J. Comput. Inform. Syst., 7: 4506-4513.
Direct Link - Zadeh, L.A., 1975. The concept of a linguistic variable and its application to approximate reasoning-I. Inform. Sci., 8: 199-249.
CrossRefDirect Link - Karnik, N.N. and J.M. Mendel, 2001. Centroid of a type-2 fuzzy set. Inform. Sci., 132: 195-220.
CrossRefDirect Link - Mendel, J.M. and F. Liu, 2007. Super-exponential convergence of the Karnik-Mendel algorithms for computing the Centroid of an interval type-2 fuzzy set. IEEE Trans. Fuzzy Syst., 15: 309-320.
CrossRefDirect Link - Wu, D. and J.M. Mendel, 2007. Aggregation using the linguistic weighted average and interval type-2 fuzzy sets. IEEE Trans. Fuzzy Syst., 15: 1145-1161.
CrossRefDirect Link - Liu, F. and J.M. Mendel, 2008. Aggregation using the fuzzy weighted average as computed by the Karnik-Mendel algorithms. IEEE Trans. Fuzzy Syst., 16: 1-12.
CrossRefDirect Link - Lee, L.W. and S.M. Chen, 2008. A new method for fuzzy multiple attribute group decision-making based on the arithmetic operations of interval type-2 fuzzy sets. Proceedings of the International Conference on Machine Learning and Cybernetics, July 12-15, 2008, Kunming, China, pp: 3260-3265.
CrossRef - Lee, L.W. and S.M. Chen, 2008. Fuzzy multiple attributes group decision-making based on the extension of TOPSIS method and interval type-2 fuzzy sets. Proceedings of the International Conference on Machine Learning and Cybernetic, July 12-15, 2008, Kunming, pp: 3260-3265.
CrossRefDirect Link - Chen, S.M. and L.W. Lee, 2010. Fuzzy multiple attributes group decision-making based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets. Expert Syst. Appl., 37: 824-833.
CrossRef - Chen, S.M. and L.W. Lee, 2010. Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method. J. Expert Syst. Appl., 37: 2790-2798.
CrossRefDirect Link - Xu, Z., 2005. An overview of methods for determining OWA weights. Int. J. Intell. Syst., 20: 843-865.
CrossRefDirect Link