Journal
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
Volume 48, Issue 1, Pages 246-262Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijar.2007.08.008
Keywords
dynamic intuitionistic fuzzy multi-attribute decision making (DIF-MADM); dynamic intuitionistic fuzzy weighted averaging (DIFWA) operator; uncertain dynamic intuitionistic fuzzy weighted averaging (UDIFWA) operator
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The dynamic multi-attribute decision making problems with intuitionistic fuzzy information are investigated. The notions of intuitionistic fuzzy variable and uncertain intuitionistic fuzzy variable are defined, and two new aggregation operators: dynamic intuitionistic fuzzy weighted averaging (DIFWA) operator and uncertain dynamic intuitionistic fuzzy weighted averaging (UDIFWA) operator are presented. Some methods, including the basic unit-interval monotonic (BUM) function based method, normal distribution based method, exponential distribution based method and average age method, are introduced to determine the weight vectors associated with these operators. A procedure based on the DIFWA operator is developed to solve the dynamic intuitionistic fuzzy multi-attribute decision making (DIF-MADM) problems where all the decision information about attribute values takes the form of intuitionistic fuzzy numbers collected at different periods, and a procedure based on the UDIFWA operator is developed for DIF-MADM under interval uncertainty in which all the decision information about attribute values takes the form of interval-valued intuitionistic fuzzy numbers collected at different periods. Finally, a practical case is used to illustrate the developed procedures. (C) 2007 Elsevier Inc. All rights reserved.
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