Document Type
Article
Publication Date
Winter 2012
Publication Title
Expert Systems with Applications
Volume
39
Issue
18
First Page
13509
Keywords
Multi-attribute group decision making (MAGDM), Interval-valued intuitionistic fuzzy numbers (IVIFNs), Linear programming, Group consistency and inconsistency
Last Page
13516
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.
DOI
10.1016/j.eswa.2012.07.007
Recommended Citation
Wang, Zhou-Jing and Li, Kevin W. Dr.. (2012). An interval-valued intuitionistic fuzzy multiattribute group decision making framework with incomplete preference over alternatives. Expert Systems with Applications, 39 (18), 13509-13516.
https://scholar.uwindsor.ca/odettepub/55
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.