Journal
APPLIED SOFT COMPUTING
Volume 12, Issue 3, Pages 1168-1179Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.asoc.2011.11.003
Keywords
Intuitionistic fuzzy numbers; Interval-valued intuitionistic fuzzy numbers; Induced generalized intuitionistic fuzzy ordered weighted averaging (I-GIFOWA) operator; Induced generalized interval-valued intuitionistic fuzzy ordered weighted averaging (I-GIIFOWA) operator
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Funding
- National Natural Science Foundation of China [71101043, 50979024, 90924027]
- College Philosophy and Social Science Research Project of Jiangsu Province [2011SJD630007]
- International Academic Cooperation Team Development Foundation of Business School, Hohai University
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In this paper, we present the induced generalized intuitionistic fuzzy ordered weighted averaging (I-GIFOWA) operator. It is a new aggregation operator that generalized the IFOWA operator, including all the characteristics of both the generalized IFOWA and the induced IFOWA operators. It provides a very general formulation that includes as special cases a wide range of aggregation operators for intuitionistic fuzzy information, including all the particular cases of the I-IFOWA operator, GIFOWA operator and the induced intuitionistic fuzzy ordered geometric (I-IFOWG) operator. We also present the induced generalized interval-valued intuitionistic fuzzy ordered weighted averaging (I-GIIFOWA) operator to accommodate the environment in which the given arguments are interval-valued intuitionistic fuzzy sets. Further, we develop procedures to apply them to solve group multiple attribute decision making problems with intuitionistic fuzzy or interval-valued intuitionistic fuzzy information. Finally, we present their application to show the effectiveness of the developed methods. (C) 2011 Elsevier B.V. All rights reserved.
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