International Journal of Computational Intelligence Systems

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Volume 11, Issue 1, 2018, Pages 1030 - 1040

Group Decision Making with Incomplete Reciprocal Preference Relations Based on Multiplicative Consistency*

Authors
Etienne E. Kerre1, †, etienne.kerre@ugent.be, Atiq-ur-Rehman2, atiq.math@gmail.com, Samina Ashraf3, saminaa561@gmail.com
1Department of Applied Mathematics, Computer Science and Statistics, Ghent university, Belgium‡
2Department of Mathematics, COMSATS Institute of Information Technology, Lahore, Punjab, Pakistan
3Director, Quality Enhancement cell, Lahore College for Women University, Lahore, Punjab, Pakistan
†

Etienne E. Kerre, Fuzziness and Uncertainty Modeling Research Unit B-9000 Gent, Belgium.

Received 12 January 2018, Accepted 8 May 2018, Available Online 23 May 2018.
DOI
10.2991/ijcis.11.1.78How to use a DOI?
Keywords
Fuzzy set; Group decision making; Reciprocal preference relation; Incomplete preference relation; Multiplicative consistency
Abstract

This paper comprises a new iterative method for multi-person decision making based on multiplicative consistency with incomplete reciprocal preference relations (IRPRs). Additionally, multiplicative transitivity property of reciprocal preference relation (RPR) is used at the first level to estimate the unknown preference values and get the complete preference relation, then it is confirmed to be multiplicative consistent by using transitive closure formula. Following this, expert’s weights are evaluated by merging consistency and trust weights. The consistency weights against the experts are evaluated through multiplicative consistency investigation of the preferences given by each expert, while trust weights play the role to measure the level of trust for an expert. The consensus process determines whether the selection procedure should start or not. If it results in negative, the feedback mechanism is used to enhance the consensus degree. At the end, a numerical example is given to demonstrate the efficiency and practicality of the proposed method.

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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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
11 - 1
Pages
1030 - 1040
Publication Date
2018/05/23
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.11.1.78How 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

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TY  - JOUR
AU  - Etienne E. Kerre
AU  - Atiq-ur-Rehman
AU  - Samina Ashraf
PY  - 2018
DA  - 2018/05/23
TI  - Group Decision Making with Incomplete Reciprocal Preference Relations Based on Multiplicative Consistency*
JO  - International Journal of Computational Intelligence Systems
SP  - 1030
EP  - 1040
VL  - 11
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.11.1.78
DO  - 10.2991/ijcis.11.1.78
ID  - Kerre2018
ER  -