International Journal of Computational Intelligence Systems

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Volume 11, Issue 1, 2018, Pages 706 - 715

Consensus Modelling on Interval-Valued Fuzzy Preference Relations with Normal Distribution

Authors
Lihong Wang, Zaiwu Gong*, zwgong26@163.com, Ning Zhang
Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters, School of Management Science and Engineering, Nanjing University of Information Science and Technology, No.219 Ningliu Road, Nanjing, Jiangsu, 210044, China
*Corresponding author.
Corresponding Author
Received 19 February 2017, Accepted 5 February 2018, Available Online 20 February 2018.
DOI
10.2991/ijcis.11.1.54How to use a DOI?
Keywords
Group decision making (GDM); interval-valued fuzzy preference relation; normal distribution; genetic algorithm (GA); group consensus
Abstract

This paper investigates the consensus decision making problem of the interval-valued fuzzy preference relation with distribution characteristics. The proposed group consensus decision making model is constructed by considering the scenarios in which the DMs are respectively equally and non-equally weighted and the DM’s preferences are randomly distributed. The goal is to find the minimum deviation between an ideal DM and all individual DMs. Accordingly, the objective function is the maximum consensus with a certain probability. The interactive process simulates the DM’s uncertainty judgment information more effectively. The Pareto optimization solution derived using a genetic algorithm and Monte Carlo approach is closer to reality. In the process of solving the model in this study, the essence of the Monte Carlo simulation method is an interactive process involving decision information. Therefore, this study provides a reference for the framework and optimization algorithm of the interactive decision support system.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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<Previous Article In Issue
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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
11 - 1
Pages
706 - 715
Publication Date
2018/02/20
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.11.1.54How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Lihong Wang
AU  - Zaiwu Gong
AU  - Ning Zhang
PY  - 2018
DA  - 2018/02/20
TI  - Consensus Modelling on Interval-Valued Fuzzy Preference Relations with Normal Distribution
JO  - International Journal of Computational Intelligence Systems
SP  - 706
EP  - 715
VL  - 11
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.11.1.54
DO  - 10.2991/ijcis.11.1.54
ID  - Wang2018
ER  -