OWA aggregation over a continuous fuzzy argument with applications in fuzzy multi-criteria decision-making
Authors: 
Juan-juan Peng, Jian-qiang Wang, Hong-yu Zhang, Teng Sun, Xiao-hong ChenAuthors Info & Claims
Juan-juan Peng, Jian-qiang Wang, Hong-yu Zhang, Teng Sun, Xiao-hong ChenAuthors Info & ClaimsPages 1407 - 1417
Abstract
This paper proposes three types of aggregation operators for fuzzy numbers as an extension of the traditional ordered weighted averaging (OWA) operator; namely the fuzzy ordered weighted averaging (F-OWA) operator, the weighted fuzzy ordered weighted averaging (WF-OWA) operator and the ordered weighted fuzzy ordered weighted averaging (OWF-OWA) operator. Moreover, some corresponding properties of the three operators are investigated in detail. Furthermore, two fuzzy multi-criteria decision-making (MCDM) approaches, respectively based on the WF-OWA operator and the OWF-OWA operator, are developed. Finally, an example is given to show their feasibility and validity, together with a comparison analysis.
References
[1]
R.R. Yager, On ordered weighted averaging aggregation operators in multi-criteria decision making, IEEE Transactions on Systems, Man and Cybernetics 18 (1988), 183-190.
[2]
R.R. Yager, Applications and extensions of OWA aggregations, International Journal of Man-Machine Studies 37 (1992), 103-132.
[3]
R.R. Yager, Families of OWA operators, Fuzzy Sets and Systems 59 (1993), 125-148.
[4]
D. Filev and R.R. Yager, On the issue of obtaining OWA operators weights, Fuzzy Sets and Systems 94 (1998), 157-169.
[5]
Z.S. Xu and Q.L. Da, The uncertain OWA operator, International Journal of Intelligent Systems 17 (2002), 569-575.
[6]
Z.S. Xu and Q.L. Da, The ordered weighted geometric averaging operators, International Journal of Intelligent Systems 17 (2002), 953-969.
[7]
F. Chinclana, E. Herrera-Viedma, F. Herrera and S. Alonso, Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations, European Journal of Operational Research 182 (2007), 383-399.
[8]
J.I. Pelaez, J.M. Dona and J.A. Gomez-Ruiz, Analysis of OWA operators in decision making for modeling the majority concept, Applied Mathematics and Computation 186 (2007), 1263-1275.
[9]
R.R. Yager and J. Kacprayk, The ordered weighted averaging operators: Theory and application, Kluwer Academic Publishers, Boston, MA, 1997.
[10]
M. O'Hagan, Aggregating template rule antecedents in realtime expert systems with fuzzy set logic, In: Proc 22nd Annual IEEE Asilomar Conference on Signals, Systems and Computers. IEEE and Maple Press, Pacific Grove, CA, (1988), 681-189.
[11]
R. Fuller and P. Majlender, An analytic approach for obtaining maximal entropy OWA operator weights, Fuzzy Sets and Systems 124 (2001), 53-57.
[12]
R.R. Yager and D. Filev, Induced ordered weighted averaging operators, IEEE Transactions on Systems, Man and Cybernetics, Part B 29 (1999), 141-150.
[13]
G. Bordogna, M. Fedrizzi and G. Pasi, Alinguistic modeling of consensus in group decision making based on OWA operators, IEEE Transactions on Systems, Man and Cybernetics, Part A 27 (1997), 126-132.
[14]
Z.S. Xu and Q.L. Da, An overviewof operators for aggregating information, International Journal of Intelligent Systems 18 (2003), 953-969.
[15]
H. Bustince, et al. Aclass of aggregation functions encompassing two-dimensional OWA operators, Information Sciences 180 (2010), 1977-1989.
[16]
B.S. Ahn, A priori identification of preferred alternatives of OWA operators by relational analysis of arguments, Information Sciences 180 (2010), 4572-4581.
[17]
X. Sang and X. Liu, An analytic approach to obtain the least square deviation OWA operator weights, Fuzzy Sets and Systems (2013).
[18]
Y. Chen, K.W. Li and S.F. Liu, An OWA-TOPSIS method for multiple criteria decision analysis, Expert Systems with Applications 38 (2011), 5205-5211.
[19]
J. Belles-Sampera, J.M. Merigó, M. Guillén and M. Santolino, The connection between distortion risk measures and ordered weighted averaging operators, Insurance: Mathematics and Economics 52 (2013), 411-420.
[20]
R.R. Yager, OWA aggregation over a continuous interval argument with applications to decision making, IEEE Transaction on Systems, Man, and Cybernetics, Part B 34 (2004), 1952-1963.
[21]
R.R. Yager and Z.S. Xu, The continuous ordered weighted geometric operator and its application to decision making, Fuzzy Sets and Systems 157 (2006), 1393-1402.
[22]
Z.S. Xu, Extended C-OWAoperators and their use in uncertain multi-attribute decision making, System Engineering-Theory & Practice 25 (2005), 7-13 (In Chinese).
[23]
H.M. Zhang and Z.S. Xu, Uncertain linguistic information based C-OWA and C-OWG operators and their applications, Journal of PLA University of Science and Technology (Natural Science Edition) 25 (2005), 604-608 (In Chinese).
[24]
L.G. Zhou and H.Y. Chen, Continuous generalized OWA operator and its application to decision making, Fuzzy Sets and Systems 168 (2011), 18-34.
[25]
J.P. Liu, S. Lin, H.Y. Chen and Q. Xu, Penalty-based continuous aggregation operators and their application to group decision making, Knowledge-Based Systems 37 (2013), 490-501.
[26]
H. Liu, J. Cai and L. Martínez, The importance weighted continuous generalized ordered weighted averaging operator and its application to group decision making, Knowledge-Based Systems 48 (2013), 24-36.
[27]
Z.S. Xu, A priority method for triangular fuzzy number complementary judgment matrix, System Engineering-Theory & Practice 23 (2003), 86-89 (In Chinese).
[28]
X.R. Wang and Z.P. Fan, Fuzzy ordered weighted averaging (FOWA) operator and its application, Fuzzy Systems and Mathematics 17(4) (2003), 67-72.
[29]
Y.J. Xu and Q.L. Da, Trapezoidal fuzzy ordered weighted averaging operator and its application to decision making, Journal of Southeast University (Natural Science Edition) 36 (2006), 1034-1038 (In Chinese).
[30]
R.J. Li, Fuzzy Multi-criteria decision-making: Theory and application, Science Press, Beijing, 2002.
[31]
C.C. Sun and G.T.R. Lin, Using fuzzy TOPSIS method for evaluating the competitive advantages of shopping websites, Expert Systems with Applications 36 (2009), 11764-11771.
[32]
J. Geldermann, T. Spengler and O. Rentz, Fuzzy outranking for environmental assessment: Case study: Iron and steel making industry, Fuzzy Sets and Systems 115 (2000), 45-65.
- OWA aggregation over a continuous fuzzy argument with applications in fuzzy multi-criteria decision-making
Recommendations
Fuzzy induced generalized aggregation operators and its application in multi-person decision making
We present a wide range of fuzzy induced generalized aggregation operators such as the fuzzy induced generalized ordered weighted averaging (FIGOWA) and the fuzzy induced quasi-arithmetic OWA (Quasi-FIOWA) operator. They are aggregation operators that ...
Fuzzy decision making with induced heavy aggregation operators and distance measures
In this paper, we introduce a new fuzzy decision making technique called the fuzzy induced heavy ordered weighted averaging distance FIHOWAD operator. It is an extension of the ordered weighted averaging OWA operator that uses the main characteristics ...
Multiple attribute group decision making based on interval-valued intuitionistic fuzzy aggregation operators and transformation techniques of interval-valued intuitionistic fuzzy values
In this paper, we propose a new method for multiple attribute group decision making (MAGDM) based on the proposed interval-valued intuitionistic fuzzy aggregation (IVIFA) operators (including the interval-valued intuitionistic fuzzy weighted averaging (...
Comments
Information & Contributors
Information
Published In
Publisher
IOS Press
Netherlands
Publication History
Published: 01 May 2014
Author Tags
Qualifiers
- Article
Contributors
Other Metrics
Bibliometrics & Citations
Bibliometrics
Article Metrics
- 0Total Citations
- 0Total Downloads
- Downloads (Last 12 months)0
- Downloads (Last 6 weeks)0
Reflects downloads up to 10 Nov 2024
Other Metrics
Citations
View Options
View options
Get Access
Login options
Check if you have access through your login credentials or your institution to get full access on this article.
Sign in