An important research topic related to the theory and application of the interval-valued intuitionistic fuzzy weighted aggregation operators is how to determine their associated weights. In this paper, we propose a precise weight-determined (PWD) method of the monotonicity and scale-invariance, just based on the new score and accuracy functions of interval-valued intuitionistic fuzzy number (IIFN). Since the monotonicity and scale-invariance, the PWD method may be a precise and objective approach to calculate the weights of IIFN and interval-valued intuitionistic fuzzy aggregation operator, and a more suitable approach to distinguish different decision makers (DMs) and experts in group decision making. Based on the PWD method, we develop two new interval-valued intuitionistic fuzzy aggregation operators, i.e. interval-valued intuitionistic fuzzy ordered precise weighted averaging (IIFOPWA) operator and interval-valued intuitionistic fuzzy ordered precise weighted geometric (IIFOPWG) operator, and study their desirable properties in detail. Finally, we provide an illustrative example. First published online:24 Jan 2014
Interval-valued intuitionistic fuzzy ordered precise weighted aggregation operator and its application in group decision making
2014-12-16
doi:10.3846/20294913.2013.869516
Technological and Economic Development of Economy; Vol 20 No 4 (2014); 648-672 ; 2029-4921 ; 2029-4913
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
DDC: | 629 |
BASE | 2012
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