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Published in: International Journal of Machine Learning and Cybernetics 6/2013

01-12-2013 | Original Article

An intuitionistic fuzzy weighted OWA operator and its application

Authors: Xia Liang, Cuiping Wei, Zhimin Chen

Published in: International Journal of Machine Learning and Cybernetics | Issue 6/2013

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Abstract

In this paper, we define a new operator, an intuitionistic fuzzy weighted OWA (IFWOWA) operator, to aggregate intuitionistic fuzzy information. The proposed operator combines the advantages of the intuitionistic fuzzy weighted averaging (IFWA) operator and the intuitionistic fuzzy ordered weighted averaging (IFOWA) operator. We then study its properties, compare it with the intuitionistic fuzzy hybrid averaging (IFHA) operator, and use it to solve multi-attribute group decision making problem with intuitionistic fuzzy information.

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Literature
2.
go back to reference Atanassov K (1999) Intuitionistic fuzzy sets: theory and applications. Physica, Heidelberg Atanassov K (1999) Intuitionistic fuzzy sets: theory and applications. Physica, Heidelberg
4.
go back to reference Chan FTS, Kumar N (2007) Global supplier development considering risk factors using fuzzy extended AHP-base approach. Omega 35:417–431CrossRef Chan FTS, Kumar N (2007) Global supplier development considering risk factors using fuzzy extended AHP-base approach. Omega 35:417–431CrossRef
5.
go back to reference Chen SM, Tan JM (1994) Handling multi-criteria fuzzy decision making problems based on vague set theory. Fuzzy Sets Syst 67(2):163–172MathSciNetCrossRefMATH Chen SM, Tan JM (1994) Handling multi-criteria fuzzy decision making problems based on vague set theory. Fuzzy Sets Syst 67(2):163–172MathSciNetCrossRefMATH
6.
7.
8.
go back to reference Hong DH, Choi CH (2000) Multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst 114:103–11CrossRefMATH Hong DH, Choi CH (2000) Multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst 114:103–11CrossRefMATH
9.
go back to reference Liu HW, Wang GJ (2007) Multi-criteria decision-making methods based on intuitionistic fuzzy sets. Eur J Oper Res 197:220–233CrossRef Liu HW, Wang GJ (2007) Multi-criteria decision-making methods based on intuitionistic fuzzy sets. Eur J Oper Res 197:220–233CrossRef
10.
go back to reference Park DG et al (2009) Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems. Math Comput Model 50:1279–1293CrossRefMATH Park DG et al (2009) Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems. Math Comput Model 50:1279–1293CrossRefMATH
11.
go back to reference Szmidt E, Kacprzyk J (2008) A new approach to ranking alternatives expressed via intuitionistic fuzzy sets. In: Ruan D et al. (eds) Computational intelligence in decision and control, World Scientic, Singapore pp 265–270 Szmidt E, Kacprzyk J (2008) A new approach to ranking alternatives expressed via intuitionistic fuzzy sets. In: Ruan D et al. (eds) Computational intelligence in decision and control, World Scientic, Singapore pp 265–270
12.
go back to reference Szmidt E, Kacprzyk J (2009) Amount of information and its reliability in the ranking of Atanassovs intuitionistic fuzzy alternatives. In: Rakus-Andersson E, et al. (eds), Recent advances in decision making, SCI, vol 222, Springer, Berlin, pp 7–19 Szmidt E, Kacprzyk J (2009) Amount of information and its reliability in the ranking of Atanassovs intuitionistic fuzzy alternatives. In: Rakus-Andersson E, et al. (eds), Recent advances in decision making, SCI, vol 222, Springer, Berlin, pp 7–19
13.
go back to reference Szmidt E, Kacprzyk J (2010) On an enhanced method for a more meaningful ranking of intuitionistic fuzzy alternatives. In: Rutkowski L, et al. (eds), ICAISC 2010 Part I, LNAI, vol 6113, Springer, Berlin, pp 232–239 Szmidt E, Kacprzyk J (2010) On an enhanced method for a more meaningful ranking of intuitionistic fuzzy alternatives. In: Rutkowski L, et al. (eds), ICAISC 2010 Part I, LNAI, vol 6113, Springer, Berlin, pp 232–239
16.
go back to reference Vlachos IK, Sergiadis GD (2007) Intuitionistic fuzzy information—applications to pattern recognition. Pattern Recognit Lett 28:197–206CrossRef Vlachos IK, Sergiadis GD (2007) Intuitionistic fuzzy information—applications to pattern recognition. Pattern Recognit Lett 28:197–206CrossRef
17.
go back to reference Xu ZS (2007) On similarity measures of interval-valued intuitionistic fuzzy sets and their application to pattern recognitions. J Southeast Univ (English Edition) 23(1):139–143MATH Xu ZS (2007) On similarity measures of interval-valued intuitionistic fuzzy sets and their application to pattern recognitions. J Southeast Univ (English Edition) 23(1):139–143MATH
18.
go back to reference Xu ZS (2007) Multi-person multi-attribute decision making models under intuitionistic fuzzy environment. Fuzzy Optim Decis Mak 6(3):221–236MathSciNetCrossRefMATH Xu ZS (2007) Multi-person multi-attribute decision making models under intuitionistic fuzzy environment. Fuzzy Optim Decis Mak 6(3):221–236MathSciNetCrossRefMATH
19.
go back to reference Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Transact Fuzzy Syst 15:1179–1187CrossRef Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Transact Fuzzy Syst 15:1179–1187CrossRef
20.
21.
go back to reference Xu ZS (2010) A deviation-based approach to intuitionistic fuzzy multiple attribute group decision making. Group Dec Negot 19:57–76CrossRef Xu ZS (2010) A deviation-based approach to intuitionistic fuzzy multiple attribute group decision making. Group Dec Negot 19:57–76CrossRef
22.
go back to reference Xu ZS (2011) Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators. Knowl Based Syst 24:749–760CrossRef Xu ZS (2011) Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators. Knowl Based Syst 24:749–760CrossRef
24.
go back to reference Yager RR (1996) Quantifier Guided Aggregation Using OWA Operators. Int J Intell Syst 11:49–73CrossRef Yager RR (1996) Quantifier Guided Aggregation Using OWA Operators. Int J Intell Syst 11:49–73CrossRef
Metadata
Title
An intuitionistic fuzzy weighted OWA operator and its application
Authors
Xia Liang
Cuiping Wei
Zhimin Chen
Publication date
01-12-2013
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 6/2013
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-012-0147-z

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