Document Type

Article

Publication Date

Winter 2012

Publication Title

Expert Systems with Applications

Volume

39

Issue

18

First Page

13509

Last Page

13516

DOI

10.1016/j.eswa.2012.07.007

Keywords

Multi-attribute group decision making (MAGDM), Interval-valued intuitionistic fuzzy numbers (IVIFNs), Linear programming, Group consistency and inconsistency

Abstract

This article proposes a framework to handle multiattribute group decision making problems with incomplete pairwise comparison preference over decision alternatives where qualitative and quantitative attribute values are furnished as linguistic variables and crisp numbers, respectively. Attribute assessments are then converted to interval-valued intuitionistic fuzzy numbers (IVIFNs) to characterize fuzziness and uncertainty in the evaluation process. Group consistency and inconsistency indices are introduced for incomplete pairwise comparison preference relations on alternatives provided by the decision-makers (DMs). By minimizing the group inconsistency index under certain constraints, an auxiliary linear programming model is developed to obtain unified attribute weights and an interval-valued intuitionistic fuzzy positive ideal solution (IVIFPIS). Attribute weights are subsequently employed to calculate distances between alternatives and the IVIFPIS for ranking alternatives. An illustrative example is provided to demonstrate the applicability and effectiveness of this method.

Comments

NOTICE: this is the author’s version of a work that was accepted for publication in Expert Systems with Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Expert Systems with Applications, 39, 18, (2012) http://dx.doi.org/10.1016/j.eswa.2012.07.007.

Included in

Business Commons

Share

COinS