期刊
EXPERT SYSTEMS WITH APPLICATIONS
卷 39, 期 2, 页码 1902-1910出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.eswa.2011.08.057
关键词
Intuitionistic fuzzy numbers; Operational laws; Induced generalized intuitionistic fuzzy ordered weighted averaging (IG-IFOWA) operator; Multi-attribute group decision making (MAGDM)
类别
资金
- National Natural Science Foundation of China [70971005, 90924020]
- Key Projects in the National Science & Technology Specific Program of China [2006BAK04A23]
- State Scholarship Fund
With respect to multi-attribute group decision making (MAGDM) problems in which both the attribute weights and the decision makers (DMs) weights take the form of real numbers, attribute values provided by the DMs take the form of intuitionistic fuzzy numbers, a new group decision making method is developed. Some operational laws, score function and accuracy function of intuitionistic fuzzy numbers are introduced at first. Then a new aggregation operator called induced generalized intuitionistic fuzzy ordered weighted averaging (IG-IFOWA) operator is proposed, which extend the induced generalized ordered weighted averaging (IGOWA) operator introduced by Merigo and Gil-Lafuente [Merigo, J. M., & Gil-Lafuente, A. M. (2009). The induced generalized OWA operator. Information Sciences, 179, 729-741] to accommodate the environment in which the given arguments are intuitionistic fuzzy sets that are characterized by a membership function and a non-membership function. Some desirable properties of the IG-IFOWA operator are studied, such as commutativity, idempotency, monotonicity and boundary. And then, an approach based on the IG-IFOWA and IFVVA (intuitionistic fuzzy weighted averaging) operators is developed to solve MAGDM problems with intuitionistic fuzzy information. Finally, a numerical example is used to illustrate the developed approach. (C) 2011 Elsevier Ltd. All rights reserved.
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