Abstract
In the group decision of this paper, it is assumed that the practice is entrusted to each decision maker. In such a decision problem, it is not necessary for a decision maker to obey the group decision completely, but necessary to consider it into his/her final decision. In this paper, when a group of decision makers give the comparisons of alternatives, their individual decisions are obtained as the interval weights of alternatives so as to have a common weight. The problem is formulated based on Interval AHP. By relaxing two conditions of the individual decisions for a consensus, a decision maker has to admit the modification of his/her initial judgments and/or the enlargement of his/her individual decision.
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References
Saaty, T.L.: The Analytic Hierarchy Process. McGraw-Hill, New York (1980)
French, S., Maule, J., Papamichail, N.: Decision Behaviour, Analysis and Support. Cambridge University Press (2009)
Wenger, E.: Communities of Practice: Learning, Meaning, and Identity. Cambridge University Press (1999)
Dyer, R.F., Forman, E.H.: Group decision support with the Analytic Hierarchy Process. Decision Support Systems 8, 94–124 (1992)
Basak, I., Saaty, T.: Group decision making using Analytic Hierarchy Process. Mathematical and Computer Modelling 17(4/5), 101–109 (1993)
Aczel, J., Saaty, T.L.: Procedure for synthesizing ratio judgements. Journal of Mathematical Psychology 27, 93–102 (1983)
Altuzarra, A., Moreno-Jimenez, J.M., Salvador, M.: A Bayesian priorization procedure for AHP-group decision making. European Journal of Operational Research 182(1), 364–382 (2007)
Yeh, C.H., Chang, Y.H.: Modeling subjective evaluation for fuzzy group multicriteria decision making. European Journal of Operational Research 194(2), 464–473 (2009)
Forman, E., Peniwati, K.: Aggregating individual judgments and priorities with the Analytic Hierarchy Process. European Journal of Operational Research 108(1), 165–169 (1998)
Sugihara, K., Tanaka, H.: Interval evaluations in the Analytic Hierarchy Process by possibilistic analysis. Computational Intelligence 17(3), 567–579 (2001)
Sugihara, K., Ishii, H., Tanaka, H.: Interval priorities in AHP by interval regression analysis. European Journal of Operational Research 158(3), 745–754 (2004)
de Campos, L.M., Huete, J.F., Moral, S.: Probability intervals: a tool for uncertain reasoning. International Journal of Uncertainty 2(2), 167–196 (1994)
Tanaka, H., Sugihara, K., Maeda, Y.: Non-additive measures by interval probability functions. Information Sciences 164, 209–227 (2004)
Saaty, T.L., Ozdemir, M.S.: Why the magic number seven plus or minus two. Mathematical and Computer Modelling 38(3-4), 233–244 (2003)
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Entani, T. (2014). Individual Decisions under Group Consensus. In: Cornelis, C., Kryszkiewicz, M., Ślȩzak, D., Ruiz, E.M., Bello, R., Shang, L. (eds) Rough Sets and Current Trends in Computing. RSCTC 2014. Lecture Notes in Computer Science(), vol 8536. Springer, Cham. https://doi.org/10.1007/978-3-319-08644-6_34
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DOI: https://doi.org/10.1007/978-3-319-08644-6_34
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08643-9
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