A group decision-making aggregation process
DOI:
https://doi.org/10.2298/YJOR0802205HKeywords:
group decision-making, fuzzy 2-tuples, aggregation process, non-homogeneous informationAbstract
Within the frame of decision aid literature, decision making problems with multiple sources of information have drawn the attention of researchers from a wide spectrum of disciplines. In decision situations with multiple individuals, each one has his own knowledge of the decision problem alternatives. The use of information assessed in different domains is not a seldom situation. This non-homogeneous information can be represented by values belonging to domains with different nature as linguistic, numerical and interval valued or can be values assessed in label sets with different granularity and multigranular linguistic information. Decision processes for solving these problems are composed by two steps: aggregation and exploitation. The main problem to deal with non-homogeneous contexts is the aggregation manner of the information assessed in these contexts. The purpose of this paper is to address this problem and establish a procedure to aggregate individual opinions into a common decision to deal with non-homogeneous contexts. This process combines at the same time numerical, interval valued and linguistic information. Since subjectivity, vagueness and imprecision enter into the assessments of experts, the 2-tuple fuzzy linguistic representation model is used to deal with the fuzziness of human judgment.References
Brans, J.P., Mareschal, B., and Vincke, P., “PROMETHEE: A new family of outranking methods in multicriteria analysis”, Operational Research, 84 (1984) 408-421.
Chiclana, F., Herrera, F., and Herrera-Viedma, E., “Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations”, Fuzzy Sets and Systems, 122 (2001) 277-291.
Chiclana, F., Herrera, F., and Herrera-Viedma, E., “A note on the internal consistency of various preference representations”, Fuzzy Sets and Systems, 131 (2002) 75-78.
Chiclana, F., Herrera, F., and Herrera-Viedma, E., “Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations”, Fuzzy Sets and Systems, 97 (1998) 33-48.
Chiclana, F., Herrera, F., Herrera-Viedma, E., and Poyatos, M.C., “A classification method of alternatives for multiple preference ordering criteria based on fuzzy majority”, Journal of Fuzzy Mathematics, 4 (1996) 801-813.
Degani, R., and Bortolan, G., “The problem of linguistic approximation in clinical decision making”, International Journal of Approximate Reasoning, 2 (1988) 143-162.
Delgado, M., Herrera, F., and Herrera-Viedma, E., “A communication model based on the 2-tuple fuzzy linguistic representation for a distributed intelligent agent system on internet”, Soft Computing, 6 (2002) 320–328.
Delgado, M., Verdegay, J.M., and Vila, M.A., “On aggregation operations of linguistic labels”, International Journal of Intelligent Systems, 8 (1993) 351-370.
Fan, Z.P., Ma, J., and Zhang, Q., “An approach to multiple attribute decision making based on fuzzy preference information alternatives”, Fuzzy Sets and Systems, 131 (2002) 101-106.
Fodor, F., and Roubens, M., Fuzzy Preference Modelling and Multicriteria Decision Support, Kluwer, Dordrecht, 1994.
Herrera, F., and Herrera-Viedma, E., “Linguistic decision analysis: Steps for solving decision problems under linguistic information”, Fuzzy Sets and Systems, 115 (2000) 67-82.
Herrera, F., Herrera-Viedma, E., and Chiclana, F., “Multiperson decision making based on multiplicative preference relations”, European Journal of Operational Research, 129 (2001) 372-385.
Herrera-Viedma, E., Herrera, F., and Chiclana, F., “A consensus model for multiperson decision making with different preference structures”, IEEE Transactions on Systems, Man and Cybernetics – Part A, 32 (2002) 394-402.
Herrera-Viedma, E., Herrera, F., Chiclana, F., and Luque, M., “Some issues on consistency of fuzzy preference relations”, European Journal of Operational Research, 154 (2004) 98-109.
Herrera-Viedma, E., Martinez, L., and Mata, F., “A consensus support system model for group decision-making problems with multigranular linguistic preference relations”, IEEE Transactions on Fuzzy Systems, 13 (5) (2005) 644-658.
Herrera, F., Herrera-Viedma, E., and Martinez, L., “A fusion approach for managing multi-granularity linguistic term sets in decision making”, Fuzzy Sets and Systems, 114 (2000) 43-58.
Herrera, F., and Martinez, L., “A 2-tuple fuzzy linguistic representation model for computing with words”, IEEE Transactions on Fuzzy Systems, 8 (6) (2000) 746–752.
Herrera, F., and Martinez, L., “An approach for combining linguistic and numerical information based on 2-tuple fuzzy representation model in decision-making”, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 8 (5) (2000) 539-562.
Herrera, F., and Martinez, L., “A model based on linguistic 2-tuples for dealing with multigranularity hierarchical linguistic contexts in multiexpert decision-making”, IEEE Transactions on Systems, Man and Cybernetics. Part B: Cybernetics, 31 (2) (2001) 227-234.
Herrera, F., and Martinez, L., “The 2-tuple linguistic computational model. Advantages of its linguistic description, accuracy and consistency”, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 9 (2001) 33-48.
Herrera, F., Martinez, L., and Sanchez, P.J., “Managing non-homogeneous information in group decision making”, European Journal of Operational Research, 166 (2005) 115-132.
Hogarth, R.M., Judgement and Choice, Wiley, Chichester (1980).
Kacprzyk, J., “Group decision making with a fuzzy linguistic majority”, Fuzzy Sets and Systems, 18 (1986) 105-118.
Keeney, R.L., and Raiffa, H., Decisions with Multiple Objectives, Wiley, New York (1976).
Kim, S.H., and Ahn, B.S., “Interactive group decision making procedure under incomplete information”, European Journal of Operational Research, 116 (1999) 498-507.
Kim, S.H., Choi, S.H., and Kim, J.K., “An interactive procedure for multiple attribute group decision making with incomplete information: range-based approach”, European Journal of Operational Research, 118 (1999) 139-152.
Kuchta, D., “Fuzzy capital budgeting”, Fuzzy Sets and Systems, 111 (2000) 367-385.
Kundu, S., “Min-transitivity of fuzzy leftness relationship and its application to decision making”, Fuzzy Sets and Systems, 86 (1997) 357-367.
Le Téno, J.F., and Mareschal, B., “An interval version of PROMETHEE for the comparison of building products’ design with ill-defined data on environmental quality”, European Journal of Operational Research, 109 (1998) 522-529.
Luce, R.D., and Suppes, P., “Preferences, utility and subject probability”, in: R.D. Luce et al. (eds.), Handbook of Mathematical Psychology, vol. III, Wiley, New York, 1965, 249-410.
Park, K.S., and Kim, S.H., Yoon, Y.C., “Establishing strict dominance between alternatives with special type of incomplete information”, European Journal of Operational Research, 96 (1996) 398-406.
Ramanathan, R., and Ganesh, L.S., “Group preference aggregation methods employed in AHP: an evaluation and an intrinsic process for deriving members’ weightages”, European Journal of Operational Research, 79 (1994) 249-265.
Roubens, M., “Some properties of choice functions based on valued binary relations”, European Journal of Operational Research, 40 (1989) 309-321.
Roubens, M., “Fuzzy sets and decision analysis”, Fuzzy Sets and Systems, 90 (1997) 199-206.
Saaty, T.L., The Analytic Hierarchy Process, McGraw-Hill, New York, 1980.
Seo, F., and Sakawa, M., “Fuzzy multiattribute utility analysis for collective choice”, IEEE Transactions on Systems, Man and Cybernetics, 15 (1985) 45-53.
Spronk, J., Zionts, S., (eds.), “Special issue on multiple criteria decision making”, Management Science, 30 (11) (1984) 1265-1387.
Tanino, T., “On group decision-making under fuzzy preferences”, in: J. Kacprzyk, M. Fedrizzi (eds.), Multiperson Decision-Making Using Fuzzy Sets and Possibility Theory, Kluwer Academic Publishers, Dordrecht, 1990, 172-185.
Tian, Q., Ma, J., and Liu, O., “A hybrid knowledge and model system for R&D project selection”, Expert Systems with Applications, 23 (3) (2002) 121-152.
Von Winterfeldt, D., and Edwards, W., Decision analysis and behavioural research, Cambridge University Press, Cambridge, 1986.
Ward, S., and Chapman, C., “Transforming project risk management into project uncertainty management”, International Journal of Project Management, 21 (2003) 97-105.
Weber, M., “Decision making with incomplete information”, European Journal of Operational Research, 28 (1987) 44-57.
Xu, Z.S., Uncertain Multiple Attribute Decision Making: Methods and Applications, Tsinghua University Press, Beijing, 2004.
Yager, R.R., “On ordered weighted averaging aggregation operators in multicriteria decision making”, IEEE Transactions on Systems, Man, and Cybernetics, 18 (1988) 183-190.
Yager, R.R., “An approach to ordinal decision making”, International Journal of Approximate Reasoning, 12 (1995) 237-261.
Yager, R.R., and Kacprzyk, J., (eds.), The Ordered Weighted Averaging Operators. Theory and Applications, Kluwer Academic, Boston, 1997.
Zeleny, M., Multiple Criteria Decision Making, McGraw-Hill, New York, 1982.
Downloads
Published
Issue
Section
License
Copyright (c) 2008 YUJOR
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
