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., Vincke, Ph. (1984) PROMETHEE: A new family of outranking methods in multi-criteria analysis. u: Brans J.P. [ur.] Operational Research '84, Amsterdam: North-Holland, str. 477-490
Chiclana, F., Herrera, F., Herrera-Viedma, E. (2001) Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations. Fuzzy Sets and Systems, 122(2): 277
Chiclana, F., Herrera, F., Herrera-Viedma, E. (2002) A note on the internal consistency of various preference representations. Fuzzy Sets and Systems, 131(1): 75
Chiclana, F., Herrera, F., Herrera-Viedma, E. (1998) Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations. Fuzzy Sets and Systems, 97(1): 33
Chiclana, F., Herrera, F., Herrera-Viedma, E., Poyatos, M.C. (1996) A classification method of alternatives for multiple preference ordering criteria based on fuzzy majority. Journal of Fuzzy Mathematics, 4, 801-813
Degani, R., Bortolan, G. (1988) The problem of linguistic approximation in clinical decision making. International Journal of Approximate Reasoning, 2(2): 143
Delgado, M., Herrera, F., Herrera-Viedma, E. (2002) A communication model based on the 2- tuple fuzzy linguistic representation for a distributed intelligent agent system on internet. Soft Comput, 6, 320-328
Delgado, M., Verdegay, J.M., Vila, M.A. (1993) On aggregation operations of linguistic labels. International Journal of Intelligent Systems, 8(3): 351
Fan, Z.P., Ma, J., Zhang, Q. (2002) An approach to multiple attribute decision making based on fuzzy preference information on alternatives. Fuzzy Sets and Systems, 131(1): 101
Fodor, J.C., Roubens, M. (1994) Fuzzy preference modeling and multicriteria decision support. Dordrecht, itd: Kluwer Academic
Herrera, F., Herrera-Viedma, E. (2000) Linguistic decision analysis: Steps for solving decision problems under linguistic information. Fuzzy Sets and Systems, 115(1): 67
Herrera, F., Herrera-Viedma, E., Chiclana, F. (2001) Multiperson decision-making based on multiplicative preference relations. European Journal of Operational Research, 129(2): 372
Herrera, F., Herrera-Viedma, E., Martinez, L. (2000) A fusion approach for managing multi-granularity linguistic term sets in decision making. Fuzzy Sets and Systems, 114(1): 43
Herrera, F., Martinez, L. (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Fuzzy Systems, 8(6): 746
Herrera, F., Martinez, L. (2000) 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): 539
Herrera, F., Martinez, L. (2001) 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) 227-234
Herrera, F., Martinez, L. (2001) The 2-tuple linguistic computational model: Advantages of its linguistic description, accuracy and consistency. International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 9(supp): 33
Herrera, F., Martinez, L., Sanchez, P.J. (2005) Managing non-homogeneous information in group decision making. European Journal of Operational Research, 166(1): 115
Herrera-Viedma, E., Herrera, F., Chiclana, F. (2002) A consensus model for multiperson decision making with different preference structures. IEEE Transactions on Systems Man and Cybernetics - Part A Systems and Humans, 32(3): 394
Herrera-Viedma, E., Herrera, F., Chiclana, F., i dr. (2004) Some issues on consistency of fuzzy preference relations. European Journal of Operational Research, 154(1): 98
Herrera-Viedma, E., Martinez, L., Mata, F. (2005) A consensus support system model for group decision-making problems with multigranular linguistic preference relations. IEEE Transactions on Fuzzy Systems, 13(5): 644
Hogarth, R.M. (1980) Judgement and choice. Chichester: Wiley
Kacprzyk, J. (1986) Group decision making with a fuzzy linguistic majority. Fuzzy Sets and Systems, 18(2): 105
Keeney, R., Raiffa, H. (1976) Decisions with multiple objectives: Preferences and value tradeoffs. New York, itd: Wiley
Kim, S.H., Ahn, B.S. (1999) Interactive group decision making procedure under incomplete information. European Journal of Operational Research, 116(3): 498
Kim, S.H., Choi, S.H., Kim, J.K. (1999) An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach. European Journal of Operational Research, 118(1): 139
Kuchta, D. Fuzzy capital budgeting. Fuzzy Sets and Systems, 111, (200), 367-385
Kundu, S. (1997) Min-transitivity of fuzzy leftness relationship and its application to decision making. Fuzzy Sets and Systems, 86(3): 357
le Téno, J.F., Mareschal, B. (1998) 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(2): 522
Luce, R.D., Suppes, P. (1965) Preferences, utility and subject probability. u: Luce R.D.i dr. [ur.] Handbook of mathematical psychology, New York: Wiley, vol. III, str. 249-410
Park, K.S., Kim, S.H., Yoon, Y.C. (1997) Establishing strict dominance between alternatives with special type of incomplete information. European Journal of Operational Research, 96(2): 398
Ramanathan, R., Ganesh, L.S. (1994) Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages. European Journal of Operational Research, 79(2): 249
Roubens, M. (1989) Some properties of choice functions based on valued binary relations. European Journal of Operational Research, 40 309-321
Roubens, M. (1997) Fuzzy sets and decision analysis. Fuzzy Sets and Systems, 90(2): 199
Saaty, T.L. (1980) The analytic hierarchy process. New York, itd: McGraw-Hill
Seo, F., Sakawa, M. (1985) Fuzzy multiattribute utility analysis for collective choice. IEEE Transactions on Systems, Man and Cybernetics, 15, 45-53
Spronk, J., Zionts, S., ur. (1984) Management Science, 30 (11) 1265-1387
Tanino, T. (1990) On group decision-making under fuzzy preferences. u: Kacprzyk J., Fedrizzi M. [ur.] Multiperson decision making models using fuzzy sets and possibility theory, Dordrecht: Kluwer Academic Publishers, str. 172-185
Tian, Q., Ma, J., Liu, O. (2002) A hybrid knowledge and model system for R&D project selection. Expert Systems with Application, 23 (3) 121-152
von Winterfeldt, D., Edwards, W. (1986) Decision analysis and behavioral research. Cambridge: Cambridge University Press
Ward, S.C., Chapman, C.B. (2003) Transforming project risk management into project uncertainty management. International Journal of Project Management, 21(2): 97-105
Weber, M. (1987) Decision making with incomplete information. European Journal of Operational Research, 28(1): 44
Xu, Z.S. (2004) Uncertain multiple attribute decision making: Methods and applications. Beijing: Tsinghua University Press
Yager, R.R. (1995) An approach to ordinal decision making. International Journal of Approximate Reasoning, 12(3-4): 237
Yager, R.R., Kacprzyk, J. (1997) The ordered weighted averaging operation: Theory, methodology and applications. Norwell, MA: Kluwer
Yager, R.R. (1988) On ordered weighted averaging aggregation operators in multicriteria decisionmaking. IEEE Transactions on Systems Man and Cybernetics, 18, 1, 183-190
Zeleny, M. (1982) Multiple criteria decision making. New York, itd: McGraw-Hill
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