Ye, Jun Fuzzy decision-making method based on the weighted correlation coefficient under intuitionistic fuzzy environment. (English) Zbl 1187.90171 Eur. J. Oper. Res. 205, No. 1, 202-204 (2010). Summary: A multicriteria fuzzy decision-making method based on weighted correlation coefficients using entropy weights is proposed under intuitionistic fuzzy environment for some situations where the information about criteria weights for alternatives is completely unknown. To determine the entropy weights with respect to a set of criteria represented by intuitionistic fuzzy sets (IFSs), we establish an entropy weight model, which can be used to get the criteria weights, and then propose an evaluation formula of weighted correlation coefficient between an alternative and the ideal alternative. The alternatives can be ranked and the most desirable one(s) can be selected according to the weighted correlation coefficients. Finally, two illustrative examples demonstrate the practicality and effectiveness of the proposed method. Cited in 1 ReviewCited in 44 Documents MSC: 90B50 Management decision making, including multiple objectives 90C70 Fuzzy and other nonstochastic uncertainty mathematical programming Keywords:entropy weight PDF BibTeX XML Cite \textit{J. Ye}, Eur. J. Oper. Res. 205, No. 1, 202--204 (2010; Zbl 1187.90171) Full Text: DOI References: [1] Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87-96 (1986) · Zbl 0631.03040 [2] Bustince, H.; Burillo, P., Vague sets are intuitionistic fuzzy sets, Fuzzy Sets and Systems, 79, 403-405 (1996) · Zbl 0871.04006 [3] Burillo, P.; Bustince, H., Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy sets and Systems, 19, 305-316 (1996) · Zbl 0872.94061 [4] Chou, S. Y.; Chang, Y. H.; Shen, C. Y., A fuzzy simple additive weighting system under group decision-making for facility location selection with objective/subjective attributes, European Journal of Operational Research, 189, 132-145 (2008) · Zbl 1147.90350 [5] Chen, S. M.; Tan, J. M., Handling multicriteria fuzzy decision-making problems based on vague set theory, Fuzzy Sets and Systems, 67, 163-172 (1994) · Zbl 0845.90078 [6] Gau, W. L.; Buehrer, D. J., Vague sets, IEEE Transactions on Systems Man and Cybernetics, 23, 610-614 (1993) · Zbl 0782.04008 [7] Gerstenkorn, T.; Manko, J., Correlation of intuitionistic fuzzy sets, Fuzzy Sets and Systems, 44, 39-43 (1991) · Zbl 0742.04008 [8] Hong, D. H.; Choi, C. H., Multicriteria fuzzy decision-making problems based on vague set theory, Fuzzy Sets and Systems, 114, 103-113 (2000) · Zbl 0963.91031 [9] Herrera, F.; Herrera-Viedma, E., Linguistic decision analysis: steps for solving decision problems under linguistic information, Fuzzy Sets and Systems, 115, 67-82 (2000) · Zbl 1073.91528 [10] Liu, H. W.; Wang, G. J., Multi-criteria decision-making methods based on intuitionistic fuzzy sets, European Journal of Operational Research, 179, 220-233 (2007) · Zbl 1163.90558 [11] Yeh, C. H.; Chang, Y. H., Modeling subjective evaluation for fuzzy group multicriteria decision making, European Journal of Operational Research, 194, 464-473 (2009) · Zbl 1154.90641 [12] Ye, J., Improved method of multicriteria fuzzy decision-making based on vague sets, Computer-Aided Design, 39, 164-169 (2007) [13] Ye, J., Multicriteria fuzzy decision-making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment, Expert Systems with Applications, 36, 6899-6902 (2009) [14] Zadeh, L. A., Fuzzy sets, Information and Control, 8, 338-353 (1965) · Zbl 0139.24606 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.