Journal
EXPERT SYSTEMS WITH APPLICATIONS
Volume 39, Issue 12, Pages 10343-10351Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.eswa.2012.01.027
Keywords
Multiattribute decision making; Interval-valued intuitionistic fuzzy sets; Interval-valued intuitionistic fuzzy values; Karnik-Mendel algorithms; Intuitionistic fuzzy weighted average operator; Interval-valued intuitionistic fuzzy weighted average operator; Likelihood-based comparison relations
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Funding
- National Science Council, Republic of China [NSC 100-2221-E-011-108-MY2]
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In this paper, we present a new multiattribute decision making method based on the proposed interval-valued intuitionistic fuzzy weighted average operator and the proposed fuzzy ranking method for intuitionistic fuzzy values. First, we briefly review the concepts of interval-valued intuitionistic fuzzy sets and the Karnik-Mendel algorithms. Then, we propose the intuitionistic fuzzy weighted average operator and interval-valued intuitionistic fuzzy weighted average operator, based on the traditional weighted average method and the Karnik-Mendel algorithms. Then, we propose a fuzzy ranking method for intuitionistic fuzzy values based on likelihood-based comparison relations between intervals. Finally, we present a new multiattribute decision making method based on the proposed interval-valued intuitionistic fuzzy weighted average operator and the proposed fuzzy ranking method for intuitionistic fuzzy values. The proposed method provides us with a useful way for multiattribute decision making based on interval-valued intuitionistic fuzzy values. (C) 2012 Elsevier Ltd. All rights reserved.
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