International Conference on Construction and Real Estate Management 2016
An Approach about Group Decision Making Based on the Geometric Consistency Degree with Incomplete Corresponding Interval Fuzzy Preference Relations
Publication: ICCREM 2016: BIM Application and Off-Site Construction
ABSTRACT
In this article, we transform intuitionsitic multiplicative preference relation into interval fuzzy preference relation and propose the concept of geometric index based on multiplicative and fuzzy aspects. In order to deal with the incomplete group decision making problems, we give a simple method to calculate the missing values and weight values with respect to the geometric consistency degree. Depending on these studies, we introduce a novel approach to group decision making with incomplete information. An illustrative numerical example is followed to demonstrate.
Get full access to this chapter
View all available purchase options and get full access to this chapter.
REFERENCES
Alonso, S., Chiclana, F., Herrera, F. and Herrera-Viedma, E. (2008). “A learning procedure to estimate missing values in fuzzy preference relations based on assitive consistency.” Proceedings from Modeling Decisions for Artificial Intelligence, Barcelona, Spain, 227–238.
Chen, S.M., Cheng, S.H. and Lin, T.E. (2015). “Group decision making systems using group recommendations based on interval fuzzy preference relations and consistency matrices.” Information Sciences, 298(2015), 555–567.
Fan, Z.P., Xiao, S.H. and Hu, G.F. (2004). “An optimization method for integrating two kinds of preference information in group decision-making.” Computers & Industrial Engineering, 46(2), 329–335.
Jiang, Y., Xu, Z.S. and Yu, X.H. (2015). “Group decision making based on incomplete intuitionistic multiplicative preference relations.” Information Sciences, 295(20), 33–52.
Lee, L.W. (2012). “Group decision making with incomplete fuzzy preference relations based on the additive consistency and the order consistency.” Expert Systems with Applications, 39(14), 11666–11676.
Orlovsky, S.A. (1978). “Decision-making with a fuzzy preference relation.” Fuzzy sets and Systems, 1(3), 155–167.
Saaty, T.L. (1977). “A scaling method for priorities in hierarchical structures.” Journal of Mathematical Psychology, 15(3), 234–281.
Saaty, T.L. and Vargas, L.G. (1987). “Uncertainty and rank order in the analytic hierarchy process.” European Journal of Operational Research, 32(1), 107–117.
Urena, R., Chiclana, F., Morente-Molinera, J.A. and Herrera-Viedma, E. (2015). “Managing incomplete preference relations in decision making: a review and future trends.” Information Sciences, 302(2015), 14–32.
Wang, T.C. and Chen, Y.H. (2010). “Incomplete fuzzy linguistic preference relations under uncertain environments.” Information Fusion, 11(2), 201–207.
Xia, M.M. and Xu, Z.S. (2013). “Group decision making based on intuitionistic multiplicative aggregation operators.” Applied Mathematical Modelling, 37(7), 5120–5133.
Xia, M.M., Xu, Z.S. and Liao, H.C. (2013). “Preference relations based on intuitionistic multiplicative information.” IEEE Transactions on Fuzzy Systems, 22(1), 113–133.
Xu, G.L. and Liu, F. (2013). “An approach to group decision making based on interval multiplicative and fuzzy preference relations by using projection.” Applied Mathematical Modeling, 37(6), 3929–3943.
Xu, Z.S. (2004). “Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation.” International Journal of Approximate Reasoning, 36(3), 261–270.
Xu, Z.S. (2006). “A practical procedure for group decision making under incomplete multipllicative linguistic preference relations.” Group Decision and Negotiation, 15(2006), 581–591.
Xu, Z.S. and Cai, X.Q. (2015). “Group decision making with incomplete interval-valued intuitionistic preference relations.” Group Decision and Negotiation, 24(2), 193–215.
Zadeh, L. (1975). “The concept of a linguistic variable and its applications in approximate reasoning.” Information Sciences, 8(3), 199–249.
Information & Authors
Information
Published In
ICCREM 2016: BIM Application and Off-Site Construction
Pages: 1457 - 1464
Editors: Yaowu Wang, Ph.D., Professor, Harbin Institute of Technology, Mohamed Al-Hussein, Ph.D., Professor, University of Alberta, Geoffrey Q. P. Shen, Ph.D., Professor, The Hong Kong Polytechnic University, and Yimin Zhu, Ph.D., Professor, Louisiana State University
ISBN (Online): 978-0-7844-8027-4
Copyright
© 2017 American Society of Civil Engineers.
History
Published online: Aug 14, 2017
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.