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.
Highlights
In recent years, increasingly frequent red alerts of hazardous smog in China have created significant concerns for public health and the unsustainability of its current economic development modes [1]
The mean absolute deviation (MAD) between the original and rectified intuitionistic preference relations is adopted as an order inducing variable of the intuitionistic ordered weighted averaging (IIOWA) operator to aggregate the rectified consistent intuitionistic preference relations
( I IOWAω (< I1, α1 >, < I2, α2 >, ..., < Im, αm >))C, implying that the complement property will be maintained by using the IIOWA operator to aggregate m intuitionistic fuzzy numbers (IFNs) into an IFN
Summary
Increasingly frequent red alerts of hazardous smog in China have created significant concerns for public health and the unsustainability of its current economic development modes [1]. Introduces a new additive consistency definition by employing membership and non-membership of the DM’s intuitionistic judgments and establishes goal programming models to derive intuitionistic fuzzy weights. By employing the additive consistency definition introduced by Wang [19], this paper puts forward a consistency rectification framework to tackle GDM problems with intuitionistic preference relations. Averaging scheme is applied to both the membership and non-membership of IFNs. Subsequently, the mean absolute deviation (MAD) between the original and rectified intuitionistic preference relations is adopted as an order inducing variable of the IIOWA operator to aggregate the rectified consistent intuitionistic preference relations.
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call