Journal
EXPERT SYSTEMS WITH APPLICATIONS
Volume 38, Issue 10, Pages 13432-13440Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.eswa.2011.04.175
Keywords
Group decision making; Aggregation operator; IGCOWA operator; C-IGCOWA operator; Interval fuzzy preference relation
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Funding
- National Natural Science Foundation of China [71071002]
- Academic Innovation Team of Anhui University [KJTD001B, SKTD007B]
- Natural Science Foundation of Anhui Provincial Higher School [KJ2010B094]
- Foundation for the Young Scholar of Anhui University [2009QN022B]
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The aim of this paper is to develop a new class of operator called the induced generalized continuous ordered weighted averaging (IGCOWA) operator, which extends the GOWA operator, the IGOWA operator and the ICOWG operator. We study the desirable properties of the IGCOWA operator and describe families of IGCOWA operator according to the special weighting vector and generalized mean parameter. Particularly, we present the consistency induced generalized continuous ordered weighted averaging (C-IGCOWA) operator, in which the consistency indicator is the induced ordering variable to reflect the importance of interval fuzzy preference relation. Finally, the C-IGCOWA operator is applied to group decision making with interval fuzzy preference relations in a numerical example. (C) 2011 Elsevier Ltd. All rights reserved.
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