![](/images/graphics-bg.png)
A Consensus Reaching Model with Minimum Adjustments in Interval-Valued Intuitionistic MAGDM
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-01
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
This paper focuses on multiattribute group decision-making problems with interval-valued intuitionistic fuzzy values (IVIFVs) and develops a consensus reaching model with minimum adjustments to improve the consensus among decision-makers (DMs).
To check the consensus, a consensus index is introduced by measuring the distance between each decision matrix and the collective one.
For the group decision-making with unacceptable consensus, Consensus Rule 1 and Consensus Rule 2 are, respectively, proposed by minimizing adjustment amounts of individual decision matrices.
According to these two consensus rules, two algorithms are devised to help DMs reach acceptable consensus.
Moreover, the convergences of algorithms are proved.
To determine weights of attributes, an interval-valued intuitionistic fuzzy program is constructed by maximizing comprehensive values of alternatives.
Finally, alternatives are ranked based on their comprehensive values.
Thereby, a novel method is proposed to solve MAGDM with IVIFVs.
At length, a numerical example is examined to illustrate the effectiveness of the proposed method.
American Psychological Association (APA)
Xu, Gai-Li. 2018. A Consensus Reaching Model with Minimum Adjustments in Interval-Valued Intuitionistic MAGDM. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-22.
https://search.emarefa.net/detail/BIM-1209541
Modern Language Association (MLA)
Xu, Gai-Li. A Consensus Reaching Model with Minimum Adjustments in Interval-Valued Intuitionistic MAGDM. Mathematical Problems in Engineering No. 2018 (2018), pp.1-22.
https://search.emarefa.net/detail/BIM-1209541
American Medical Association (AMA)
Xu, Gai-Li. A Consensus Reaching Model with Minimum Adjustments in Interval-Valued Intuitionistic MAGDM. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-22.
https://search.emarefa.net/detail/BIM-1209541
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209541