IJISA Vol. 9, No. 8, 8 Aug. 2017
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Weight update, TOPSIS, SAW, group decision-making
The weight updates are required for group decision-making which has similar parameters used by the decision maker (DM). Each DM as the stakeholder may have similar or different parameters in selecting parameters. Therefore, we have to accommodate the interests of all decision makers (DMs) to obtain alternative decisions. DM who has selected the parameters inputs the initial weight (W_Pi) based on the classical methods, and then recalculates to obtain the updated weights (W_j) until the final weight (W_j^i) is obtained for the alternative of group decision-making (GDM). The initial weight uses a weighting directly or multi criteria decision-making (MCDM). This method aims to provide the fairness for all DMs who have different knowledge in determining the value of the weights and the selection parameters. In order to obtain alternative decisions, we used technique for order preference by similarity to ideal solution (TOPSIS) method to update weight. In this paper, the alternative output of the decisions is applied in two stages: the decisions of each DM and the group, where this output consists of four types of alternatives. Based on the proposed method, the result of GDM shows that the third alternative is recommended in decision-making. This method is effectively performed in decision-making which has different parameters and weights of each DM to support group decision.
Hamdani Hamdani, Retantyo Wardoyo, Khabib Mustofa, "A Method of Weight Update in Group Decision-Making to Accommodate the Interests of All the Decision Makers", International Journal of Intelligent Systems and Applications(IJISA), Vol.9, No.8, pp.1-10, 2017. DOI:10.5815/ijisa.2017.08.01
[1]R. R. Yager, “Uncertainty modeling and decision support,” Reliab. Eng. Syst. Saf., vol. 85, no. 1–3, pp. 341–354, Jul. 2004.
[2]C. Kahraman, “Fuzzy Multi-Criteria Decision Making,” vol. 16, pp. 1–18, 2008.
[3]C. L. Hwang and K. Yoon, Multiple Attribute Decision Making: Methods and Applications. New York: Springer-Verlag, 1981.
[4]D. L. Olson, “Comparison of Weights in TOPSIS Models,” Math. Comput. Model., vol. 40, pp. 721–727, 2004.
[5]T. L. Saaty and L. G. Vargas, “Comparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios,” Math. Model., vol. 5, no. 5, pp. 309–324, 1984.
[6]T. Saaty and I. Basak, “Group Decision Making Using The Analytic Hierarchy Process,” Math. Comput. Model., vol. 17, no. 4–5, pp. 101–109, 1993.
[7]T. L. Saaty and M. Ozdemir, “Negative Priorities in the Analytic Hierarchy Process,” Math. Comput. Model., vol. 37, no. 9–10, pp. 1063–1075, 2003.
[8]S.-Y. Chou, Y.-H. Chang, and C.-Y. Shen, “A fuzzy simple additive weighting system under group decision-making for facility location selection with objective/subjective attributes,” Eur. J. Oper. Res., vol. 189, no. 1, pp. 132–145, Aug. 2008.
[9]L. Abdullah and A. Otheman, “A New Entropy Weight for Sub-Criteria in Interval Type-2 Fuzzy TOPSIS and Its Application,” Int. J. Intell. Syst. Appl. (IJISA), vol. 5, no. 2, pp. 25–33, Jan. 2013.
[10]L. Garc, “Weighting Individual Opinions in Group Decision Making,” in Modeling Decisions for Artificial Intelligence, 2007, pp. 92–103.
[11]R. R. Yager, “Multiple objective decision - making using fuzzy sets,” Int. J. Man. Mach. Stud., vol. 9, no. 4, p. 1977, 1977.
[12]M. Alemi-Ardakani, A. S. Milani, S. Yannacopoulos, and G. Shokouhi, “On the effect of subjective, objective and combinative weighting in multiple criteria decision making: A case study on impact optimization of composites,” Expert Syst. Appl., vol. 46, pp. 426–438, Mar. 2016.
[13]A. Davey and D. Olson, “Multiple Criteria Decision Making Models in Group Decision Support,” Gr. Decis. Negot., vol. 7, pp. 55–75, 1998.
[14]G. DeSanctis and R. B. Gallupe, “A Foundation for the Study of Group Decision Support Systems,” Manage. Sci., vol. 33, no. 5, pp. 589–609, May 1987.
[15]Z. Wang, “An Adjustment Method of Experts ’ Weights in Group Decision,” in International Conference on E-Product E-Service and E-Entertainment (ICEEE), 2010, pp. 1–5.
[16]X. Delgado-Galván, J. Izquierdo, J. Benítez, and R. Pérez-García, “Joint stakeholder decision-making on the management of the Silao–Romita aquifer using AHP,” Environ. Model. Softw., vol. 51, pp. 310–322, Jan. 2014.
[17]A. Zerger, G. Warren, P. Hill, D. Robertson, A. Weidemann, and K. Lawton, “Multi-criteria assessment for linking regional conservation planning and farm-scale actions,” Environ. Model. Softw., vol. 26, no. 1, pp. 103–110, Jan. 2011.
[18]M. D. Chavez, P. B. M. Berentsen, and A. G. J. M. O. Lansink, “Assessment of criteria and farming activities for tobacco diversification using the Analytical Hierarchical Process (AHP) technique,” Agric. Syst., vol. 111, pp. 53–62, 2012.
[19]B. Srdjevic and Z. Srdjevic, “Synthesis of individual best local priority vectors in AHP-group decision making,” Appl. Soft Comput., vol. 13, no. 4, pp. 2045–2056, Apr. 2013.
[20]B. Liu, Y. Shen, Y. Chen, X. Chen, and Y. Wang, “A two-layer weight determination method for complex multi-attribute large-group decision-making experts in a linguistic environment,” Inf. Fusion, vol. 23, pp. 156–165, May 2015.
[21]S. A. Hajkowicz, “Supporting multi-stakeholder environmental decisions.,” J. Environ. Manage., vol. 88, no. 4, pp. 607–14, Sep. 2008.
[22]P. C. Campo, F. Bousquet, and T. R. Villanueva, “Modelling with stakeholders within a development project,” Environ. Model. Softw., vol. 25, no. 11, pp. 1302–1321, Nov. 2010.
[23]H. Mianabadi, A. Afshar, and M. Zarghami, “Intelligent multi-stakeholder environmental management,” Expert Syst. Appl., vol. 38, no. 1, pp. 862–866, Jan. 2011.
[24]W. Lu, C. Liang, and Y. Ding, “Experts Based on Evidence Similarity in Group Decision-making,” in 4th International Conference on Wireless Communications, Networking and Mobile Computing, 2008, pp. 1–4.
[25]X. Zhai and R. Xu, “A Weighting Multicriteria Group Decision-Making Model in Fuzzy Environment,” in 2010 Second WRI Global Congress on Intelligent Systems (GCIS), 2010, pp. 187–190.
[26]S. Sener, E. Sener, B. Nas, and R. Karagüzel, “Combining AHP with GIS for landfill site selection: a case study in the Lake Beyşehir catchment area (Konya, Turkey).,” Waste Manag., vol. 30, no. 11, pp. 2037–46, Nov. 2010.
[27]H. Hamdani and S. Hartati, “Geographics Visualization for Decision Support System of Culinary Tourism Use Rule Of Thumb Methode,” in Seminar Teknik Informatika, 2011, no. January.
[28]D. Liang, D. Liu, and A. Kobina, “Three-way group decisions with decision-theoretic rough sets,” Inf. Sci. (Ny)., vol. 345, pp. 46–64, Jun. 2016.
[29]Y. Liu, Z.-P. Fan, and X. Zhang, “A method for large group decision-making based on evaluation information provided by participators from multiple groups,” Inf. Fusion, vol. 29, pp. 132–141, May 2016.
[30]C. Kao, “Weight determination for consistently ranking alternatives in multiple criteria decision analysis,” Appl. Math. Model., vol. 34, no. 7, pp. 1779–1787, Jul. 2010.
[31]K. H. Oh, H. K. Kang, J. C. Park, and H. Y. Youn, “WAGE: Weighting with AHP, Grey Numbers, and Entropy for Multiple-Criteria Group Decision Making Problem,” 2013 IEEE 16th Int. Conf. Comput. Sci. Eng., pp. 360–367, Dec. 2013.
[32]B. Oztaysi, “A decision model for information technology selection using AHP integrated TOPSIS-Grey: The case of content management systems,” Knowledge-Based Syst., vol. 70, pp. 44–54, Nov. 2014.
[33]Y. Ju, “A new method for multiple criteria group decision making with incomplete weight information under linguistic environment,” Appl. Math. Model., vol. 38, no. 21–22, pp. 5256–5268, Nov. 2014.
[34]P. Wang, Z. Zhu, and Y. Wang, “A novel hybrid MCDM model combining the SAW, TOPSIS and GRA methods based on experimental design,” Inf. Sci. (Ny)., vol. 345, pp. 27–45, Jun. 2016.
[35]A. K. Kar, “A hybrid group decision support system for supplier selection using analytic hierarchy process, fuzzy set theory and neural network,” J. Comput. Sci., vol. 6, pp. 23–33, Jan. 2015.
[36] W. S. Goodridge, “Sensitivity Analysis Using Simple Additive Weighting Method,” Int. J. Intell. Syst. Appl.(IJISA), vol. 8, no. 5, pp. 27–33, May. 2016.
[37]H. Hai-feng and S. Yi, “Adaptive Algorithm for Adjusting Weights in Multiple Attributes Group Decision Making,” 2013 Sixth Int. Symp. Comput. Intell. Des., pp. 390–394, Oct. 2013.
[38]M. Kabak, S. Burmaoğlu, and Y. Kazançoğlu, “A fuzzy hybrid MCDM approach for professional selection,” Expert Syst. Appl., vol. 39, no. 3, pp. 3516–3525, Feb. 2012.
[39]M. Dong, S. Li, and H. Zhang, “Approaches to group decision making with incomplete information based on power geometric operators and triangular fuzzy AHP,” Expert Syst. Appl., vol. 42, no. 21, pp. 7846–7857, Nov. 2015.
[40]H. Fanghua and C. Guanchun, “A Fuzzy Multi-Criteria Group Decision-Making Model Based on Weighted Borda Scoring Method for Watershed Ecological Risk Management: a Case Study of Three Gorges Reservoir Area of China,” Water Resour. Manag., vol. 24, no. 10, pp. 2139–2165, Dec. 2009.
[41]H. Gitinavard, S. M. Mousavi, and B. Vahdani, “A new multi-criteria weighting and ranking model for group decision-making analysis based on interval-valued hesitant fuzzy sets to selection problems,” Neural Comput. Appl., vol. 27, pp. 1593–1605, Jun. 2016.
[42]F. Jin, L. Pei, H. Chen, and L. Zhou, “Knowledge-Based Systems Interval-valued intuitionistic fuzzy continuous weighted entropy and its application to multi-criteria fuzzy group decision making,” Knowledge-Based Syst., vol. 59, pp. 132–141, 2014.
[43]Y. Xu, L. Chen, R. M. Rodríguez, F. Herrera, and H. Wang, “Deriving the priority weights from incomplete hesitant fuzzy preference relations in group decision making,” Knowledge-Based Syst., vol. 99, pp. 71–78, May 2016.
[44]M. A. Abo-Sinna and T. H. M. Abou-El-Enien, “An interactive algorithm for large scale multiple objective programming problems with fuzzy parameters through TOPSIS approach,” Appl. Math. Comput., vol. 177, no. 2, pp. 515–527, Jun. 2006.
[45]T. L. Saaty, “Rank from comparisons and from ratings in the analytic hierarchy/network processes I,” vol. 168, pp. 557–570, 2006.
[46]J. A. Recio-García, L. Quijano, and B. Díaz-Agudo, “Including social factors in an argumentative model for Group Decision Support Systems,” Decis. Support Syst., vol. 56, pp. 48–55, Dec. 2013.
[47]I. Ting, “Analyzing and Mining Social Networks for Decision Support,” J. Univers. Comput. Sci., vol. 22, no. 3, pp. 298–301, 2016.
[48]B. Zhu, S. Watts, and H. Chen, “Visualizing social network concepts,” Decis. Support Syst., vol. 49, no. 2, pp. 151–161, May 2010.
[49]F. Antunes and J. P. Costa, “Integrating Decision Support and Social Networks,” Adv. Human-Computer Interact., vol. 2012, pp. 1–10, 2012.
[50]F. Antunes and J. P. Costa, “Decision Support Social Network,” in 2011 6th Iberian Conference on Information Systems and Technologies (CISTI), 2011.
[51]G. R. Jahanshahloo, F. H. Lotfi, and M. Izadikhah, “An algorithmic method to extend TOPSIS for decision-making problems with interval data,” Appl. Math. Comput., vol. 175, no. 2, pp. 1375–1384, Apr. 2006.
[52]A. Sepehr and C. Zucca, “Ranking desertification indicators using TOPSIS algorithm,” Nat. Hazards, vol. 62, no. 3, pp. 1137–1153, Mar. 2012.
[53]X. Zhu, J. Li, D. Wu, H. Wang, and C. Liang, “Balancing accuracy, complexity and interpretability in consumer credit decision making: A C-TOPSIS classification approach,” Knowledge-Based Syst., vol. 52, pp. 258–267, Nov. 2013.