Journal
APPLIED MATHEMATICAL MODELLING
Volume 38, Issue 7-8, Pages 2190-2205Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2013.10.036
Keywords
OWA operator; Continuous interval-valued intuitionistic fuzzy ordered weighted averaging (C-IVIFOWA) operator; Aggregation operator; Group decision making
Funding
- National Natural Science Foundation of China [71071002, 71371011, 71301001]
- Higher School Specialized Research Fund for the Doctoral Program [20123401110001]
- Scientific Research Foundation of the Returned Overseas Chinese Scholars
- Anhui Provincial Natural Science Foundation [1308085QG127]
- Provincial Natural Science Research Project of Anhui Colleges [KJ2012A026, KJ2012Z055]
- Humanity and Social Science Youth Foundation of Ministry of Education [13YJC630092]
- Humanities and social science Research Project of Department of Education of Anhui Province [SK2013B041]
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In this paper, we introduce a new operator called the continuous interval-valued intuitionistic fuzzy ordered weighted averaging (C-IVIFOWA) operator for aggregating the interval-valued intuitionistic fuzzy values. It combines the intuitionistic fuzzy ordered weighted averaging (IFOWA) operator and the continuous ordered weighted averaging (C-OWA) operator by a controlling parameter, which can be employed to diminish fuzziness and improve the accuracy of decision making. We further apply the C-IVIFOWA operator to the aggregation of multiple interval-valued intuitionistic fuzzy values and obtain a wide range of aggregation operators including the weighted C-IVIFOWA (WC-IVIFOWA) operator, the ordered weighted (OWC-IVIFOWA) operator and the combined C-IVIFOWA (CC-IVIFOWA) operator. Some desirable properties of these operators are investigated. And finally, we give a numerical example to illustrate the applications of these operators to group decision making under interval-valued intuitionistic fuzzy environment. (C) 2013 Elsevier Inc. All rights reserved.
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