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

Area of Science:

• Decision Sciences
• Fuzzy Logic
• Operations Research

Background:

• Group decision-making often faces challenges with inconsistent individual preferences.
• Intuitionistic preference relations offer a robust way to represent uncertainty and vagueness in judgments.
• Existing aggregation methods may not adequately account for the consistency of individual inputs.

Purpose of the Study:

• To develop a group decision framework that handles intuitionistic preference relations.
• To propose a method for rectifying inconsistent intuitionistic preference relations.
• To introduce a novel aggregation operator that weights decisions based on input consistency.

Main Methods:

• Developing an approach to transform inconsistent intuitionistic preference relations into consistent ones.
• Proposing the induced intuitionistic ordered weighted averaging (IIOWA) operator for aggregating judgments.
• Utilizing mean absolute deviation to determine the order-inducing variable for weighting decision-makers.

Main Results:

• A method to derive additive consistent intuitionistic preference relations from inconsistent ones.
• The IIOWA operator effectively aggregates individual intuitionistic fuzzy judgments.
• A group decision framework that assigns weights based on the consistency of decision-makers' initial judgments.

Conclusions:

• The proposed framework provides a systematic approach to group decision-making with intuitionistic preference relations.
• The IIOWA operator and consistency-based weighting enhance the reliability of collective decisions.
• The framework is applicable to practical problems, such as low-carbon supplier selection.