Title
Hierarchical semi-numeric method for pairwise fuzzy group decision making.
Abstract
Gradual improvements to a single-level semi-numeric method, i.e., linguistic labels preference representation by fuzzy sets computation for pairwise fuzzy group decision making are summarized. The method is extended to solve multiple criteria hierarchical structure pairwise fuzzy group decision-making problems. The problems are hierarchically structured into focus, criteria, and alternatives. Decision makers express their evaluations of criteria and alternatives based on each criterion by using linguistic labels. The labels are converted into and processed in triangular fuzzy numbers (TFNs). Evaluations of criteria yield relative criteria weights. Evaluations of the alternatives, based on each criterion, yield a degree of preference for each alternative or a degree of satisfaction for each preference value. By using a neat ordered weighted average (OWA) or a fuzzy weighted average operator, solutions obtained based on each criterion are aggregated into final solutions. The hierarchical semi-numeric method is suitable for solving a larger and more complex pairwise fuzzy group decision-making problem. The proposed method has been verified and applied to solve some real cases and is compared to Saaty's (1996) analytic hierarchy process (AHP) method.
Year
DOI
Venue
2002
10.1109/TSMCB.2002.1033190
IEEE Transactions on Systems, Man, and Cybernetics, Part B
Keywords
Field
DocType
alternatives,fuzzy set theory,pairwise fuzzy group decision,criteria,preference,triangular fuzzy number,triangular fuzzy numbers,analytic hierarchy process method,fuzzy weighted average operator,group decision support systems,focus,complex pairwise fuzzy group,single-level semi-numeric method,relative criteria weights,fuzzy sets computation,hierarchical semi-numeric method,relative criteria weight,fuzzy group decision-making problem,linguistic labels,pairwise fuzzy group decision making,fuzzy set,decision maker,art,group decision making,numerical method,analytic hierarchy process,mathematics,fuzzy sets,computational modeling
Pairwise comparison,Mathematical optimization,Fuzzy classification,Computer science,Fuzzy set operations,Fuzzy set,Operator (computer programming),Artificial intelligence,Potentially all pairwise rankings of all possible alternatives,Fuzzy number,Machine learning,Analytic hierarchy process
Journal
Volume
Issue
ISSN
32
5
1083-4419
Citations 
PageRank 
References 
15
0.91
9
Authors
4
Name
Order
Citations
PageRank
M. Marimin1858.72
Motohide Umano218328.91
I. Hatono3343.09
H Tamura4150.91