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Int. J. Environ. Res. Public Health 2016, 13(9), 923; doi:10.3390/ijerph13090923

A Group Decision Framework with Intuitionistic Preference Relations and Its Application to Low Carbon Supplier Selection

1
School of Management, Zhejiang University of Finance & Economics, Hangzhou 310018, China
2
School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China
*
Author to whom correspondence should be addressed.
Academic Editors: Jason K. Levy and Peiyong Yu
Received: 29 July 2016 / Revised: 11 September 2016 / Accepted: 13 September 2016 / Published: 19 September 2016
(This article belongs to the Special Issue Ecological Economics, Environmental Health Policy and Climate Change)
View Full-Text   |   Download PDF [348 KB, uploaded 19 September 2016]

Abstract

This article develops a group decision framework with intuitionistic preference relations. An approach is first devised to rectify an inconsistent intuitionistic preference relation to derive an additive consistent one. A new aggregation operator, the so-called induced intuitionistic ordered weighted averaging (IIOWA) operator, is proposed to aggregate individual intuitionistic fuzzy judgments. By using the mean absolute deviation between the original and rectified intuitionistic preference relations as an order inducing variable, the rectified consistent intuitionistic preference relations are aggregated into a collective preference relation. This treatment is presumably able to assign different weights to different decision-makers’ judgments based on the quality of their inputs (in terms of consistency of their original judgments). A solution procedure is then developed for tackling group decision problems with intuitionistic preference relations. A low carbon supplier selection case study is developed to illustrate how to apply the proposed decision model in practice. View Full-Text
Keywords: intuitionistic preference relation; consistency; induced intuitionistic ordered weighted averaging operator; group decision making; low carbon supplier selection intuitionistic preference relation; consistency; induced intuitionistic ordered weighted averaging operator; group decision making; low carbon supplier selection
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Tong, X.; Wang, Z.-J. A Group Decision Framework with Intuitionistic Preference Relations and Its Application to Low Carbon Supplier Selection. Int. J. Environ. Res. Public Health 2016, 13, 923.

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