More Web Proxy on the site http://driver.im/

article

The quasi-arithmetic intuitionistic fuzzy OWA operators

Authors:

Zhiping ChenAuthors Info & Claims

Knowledge-Based Systems, Volume 27

Pages 219 - 233

https://doi.org/10.1016/j.knosys.2011.10.009

Published: 01 March 2012 Publication History

Abstract

By extending the quasi-arithmetic ordered weighted averaging operator to different intuitionistic fuzzy situations, we introduce three kinds of new operators: the quasi-intuitionistic fuzzy ordered weighted averaging operator, the quasi-intuitionistic fuzzy Choquet ordered averaging operator and the quasi-intuitionistic fuzzy ordered weighted averaging operator based on the Dempster-Shafer belief structure. The properties of the new aggregation operators are pointed out and their special cases are examined. New decision making methods based on the proposed operators have been presented, and they are applied to solve a financial decision making problem, which sufficiently show the flexibility and practical advantages of our new operators and decision making methods. All the above new aggregation operators and corresponding decision making methods are further extended to the interval-valued intuitionistic fuzzy environment.

References

[1]

Atanassov, K., Intuitionistic fuzzy sets. Fuzzy Sets and Systems. v20 i1. 87-96.

[2]

Atanassov, K. and Gargov, G., Interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems. v31 i3. 343-349.

[3]

Atanassov, K., Pasi, G. and Yager, R.R., Intuitionistic fuzzy interpretations of multi- criteria multi-person and multi-measurement tool decision making. International Journal of Systems Science. v36 i14. 859-868.

[4]

Castiñeira, E.E., Torres-Blanc, C. and Cubillo, S., Measuring contradiction on A-IFS defined in finite universes. Knowledge-Based Systems. v24. 1297-1309.

Digital Library

[5]

Chiclana, F., Herrera-Viedma, E., Herrera, F. and Alonso, S., Induced ordered weighted geometric operators and their use in the aggregation of multiplicative preference relations. International Journal of Intelligent Systems. v19. 233-255.

[6]

Chiclana, F., Herrera-Viedma, E., Herrera, F. and Alonso, S., 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. v182. 383-399.

[7]

Choquet, G., Theory of capacities. Annales del Institut Fourier. v5. 131-295.

[8]

Dempster, A.P., Upper and lower probabilities induced by a multi-valued mapping. Annual Mathematics Statistics. v28. 325-339.

[9]

Dempster, A.P., A generalized of Bayesian inference. Journal of the Royal Statistical Society. v30. 205-247.

[10]

Dymova, L. and Sevastjanov, P., An interpretation of intuitionistic fuzzy sets in terms of evidence theory: Decision making aspect. Knowledge-Based Systems. v23. 772-782.

Digital Library

[11]

Dong, Y.C., Li, H.Y. and Xu, Y.F., On reciprocity indexes in the aggregation of fuzzy preference relations using the OWA operator. Fuzzy Sets and Systems. v159. 185-192.

Digital Library

[12]

Engemann, K.J., Miller, H.E. and Yager, R.R., Decision making with belief structures: an application in risk management. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. v4 i1. 1-25.

[13]

Fodor, J., Marichal, J.L. and Roubens, M., Characterization of the ordered weighted averaging operators. IEEE Transactions on Fuzzy Systems. v3. 236-240.

Digital Library

[14]

Gao, C.Y. and Peng, D.H., Consolidating SWOT analysis with nonhomogeneous uncertain preference information. Knowledge-Based Systems. v24 i6. 796-808.

[15]

Herrera, F., Alonso, S., Chiclana, F. and Herrera-Viedma, E., Computing with words in decision making: foundations, trends and prospects. Fuzzy Optimization and Decision Making. v8. 337-364.

Digital Library

[16]

Herrera, F. and Herrera-Viedma, E., Linguistic decision analysis: steps for solving decision problems under linguistic information. Fuzzy Sets and Systems. v115. 67-82.

Digital Library

[17]

Herrera, F., Herrera-Viedma, E. and Chiclana, F., A study of the origin and uses of the ordered weighted geometric operator in multicriteria decision making. International Journal of Intelligent Systems. v18. 689-707.

[18]

Hong, D.H. and Choi, C.H., Multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets and Systems. v114 i1. 103-113.

[19]

Li, D.F., Multiattribute decision making models and methods using intuitionistic fuzzy sets. Journal of Computer and System Sciences. v70. 73-85.

Digital Library

[20]

Li, D.F., Multiattribute decision making method based on generalized OWA operators with intuitionistic fuzzy sets. Expert Systems with Applications. v37. 8673-8678.

Digital Library

[21]

Merigó, J.M. and Casanovas, M., The fuzzy generalized OWA operator and its application in strategic decision making. Cybernetics and Systems. v41 i5. 359-370.

[22]

Merigó, J.M. and Casanovas, M., Induced aggregation operators in decision making with the Dempster-Shafer belief structure. International Journal of Intelligent Systems. v24. 934-954.

[23]

Merigó, J.M. and Casanovas, M., The uncertain induced quasi-arithmetic OWA operator. International Journal of Intelligent Systems. v26. 1-24.

[24]

Merigó, J.M., Casanovas, M. and Martı¿nez, L., Linguistic aggregation operators for linguistic decision making based on the Dempster-Shafer theory of evidence. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. v18 i3. 287-304.

[25]

Merigó, J.M. and Gil-Lafuente, A.M., The induced generalized OWA operator. Information Sciences. v179. 729-741.

Digital Library

[26]

Nayagam, V.L.G., Muralikrishnan, S. and Sivaraman, G., Multi-criteria decision-making method based on interval-valued intuitionistic fuzzy sets. Expert Systems with Applications. v38 i3. 1464-1467.

[27]

Nayagam, V.L.G. and Sivaraman, G., Ranking of interval-valued intuitionistic fuzzy sets. Applied Soft Computing. v11 i4. 3368-3372.

[28]

Shafer, G., Mathematical Theory of Evidence. 1976. Princeton University Press, Princeton, NJ.

[29]

M. Sugeno, Theory of Fuzzy Integral and Its Application, Doctoral dissertation, Tokyo Institute of Technology, 1974.

[30]

Szmidt, E. and Kacprzyk, J., Using intuitionistic fuzzy sets in group decision making. Control and Cybernetics. v31. 1037-1053.

[31]

Tan, C.Q. and Chen, X.H., Induced Choquet ordered averaging operator and its application to group decision making. International Journal of Intelligent Systems. v25. 59-82.

[32]

Tan, C.Q. and Chen, X.H., Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making. Expert Systems with Applications. v37. 149-157.

Digital Library

[33]

Torra, V., OWA operators in data modeling and reidentification. IEEE Transactions on Fuzzy Systems. v12 i5. 652-660.

[34]

Torra, V. and Narukawa, Y., Modeling Decisions: Information Fusion and Aggregation Operators. 2007. Springer-Verlag, Berlin Heidelberg.

[35]

Vanı¿ček, J., Vrana, I. and Aly, S., Fuzzy aggregation and averaging for group decision making: A generalization and survey. Knowledge-Based Systems. v22. 79-84.

Digital Library

[36]

Wang, J.H. and Hao, J., A new version of 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transaction on Fuzzy Systems. v14. 435-445.

Digital Library

[37]

Wang, Z.J., Li, K.W. and Wang, W.Z., An approach to multiattribute decision making with interval-valued intuitionistic fuzzy assessments and incomplete weights. Information Sciences. v179. 3026-3040.

Digital Library

[38]

Wang, Z. and Klir, G., Fuzzy Measure Theory. 1992. Plenum press, New York.

[39]

Wei, G.W., GRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting. Knowledge-Based Systems. v23 i3. 243-247.

[40]

Xu, Z.S., An overview of methods for determining OWA weights. International Journal of Intelligent Systems. v20. 843-865.

[41]

Xu, Z.S., Intuitionistic fuzzy aggregation operators. IEEE Transaction on Fuzzy Systems. v15. 1179-1187.

[42]

Xu, Z.S., Models for multiple attribute decision making with intuitionistic fuzzy information. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. v15 i3. 285-297.

[43]

Xu, Z.S., Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making. Control and Decision. v22. 215-219.

[44]

Xu, Z.S., Correlated linguistic information aggregation. International Journal of Uncertainty Fuzziness and Knowledge-Based Systems. v17 i5. 633-647.

[45]

Xu, Z.S., Choquet integrals of weighted intuitionistic fuzzy information. Information Sciences. v180. 726-736.

Digital Library

[46]

Xu, Z.S., Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators. Knowledge-Based Systems. v24. 749-760.

Digital Library

[47]

Xu, Z.S. and Da, Q.L., The ordered weighted geometric averaging operators. International Journal of Intelligent Systems. v17. 709-716.

[48]

Xu, Z.S. and Xia, M.M., Induced generalized intuitionistic fuzzy operators. Knowledge-Based Systems. v24 i2. 197-209.

[49]

Xu, Z.S. and Yager, R.R., Some geometric aggregation operators based on intuitionistic fuzzy sets. International Journal of General Systems. v35 i4. 417-433.

[50]

Yager, R.R., On ordered weighted averaging operators in multi-criteria decision making. IEEE Transactions on Systems, Man and Cybernetics. v18. 183-190.

Digital Library

[51]

Yager, R.R., Decision making under Dempster-Shafer uncertainties. International Journal of General Systems. v20. 233-245.

[52]

Yager, R.R., Families of OWA operators. Fuzzy Sets and Systems. v59. 125-148.

[53]

Yager, R.R., Quantifier guided aggregation using OWA operators. International Journal of Intelligent Systems. v11. 49-73.

[54]

Yager, R.R., Induced aggregation operators. Fuzzy Sets and Systems. v137. 59-69.

Digital Library

[55]

Yager, R.R., Choquet aggregation using order inducing variables. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. v12. 69-88.

[56]

Yager, R.R., Generalized OWA aggregation operators. Fuzzy Optimization and Decision Making. v3. 93-107.

[57]

Yager, R.R. and Filev, D.P., Parameterized "andlike" and "orlike" OWA operators. International Journal of General Systems. v22. 297-316.

[58]

Yager, R.R. and Kelman, A., Decision making under various types of uncertainties. Journal of Intelligent & Fuzzy Systems. v3 i4. 317-323.

[59]

Zadeh, L.A., Fuzzy sets. Information Control. v8. 338-353.

[60]

Zeng, S.S. and Su, W.H., Intuitionistic fuzzy ordered weighted distance operator. Knowledge-Based Systems. v24. 1224-1232.

Digital Library

[61]

Zhang, H.Y., Zhang, W.X. and Mei, C.L., Entropy of interval-valued fuzzy sets based on distance and its relationship with similarity measure. Knowledge-Based Systems. v22. 449-454.

Digital Library

[62]

Zhao, H., Xu, Z.S., Ni, M.F. and Liu, S.S., Generalized aggregation operators for intuitionistic fuzzy sets. International Journal of Intelligent Systems. v25. 1-30.

Cited By

Tian YMa Z(2022)Covering-based compound mean operators arising from Heronian and Bonferroni mean operators in fuzzy and intuitionistic fuzzy environmentsJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-21145742:3(2115-2126)Online publication date: 1-Jan-2022
https://dl.acm.org/doi/10.3233/JIFS-211457
Yahya MNaeem MAbdullah SQiyas MAamir M(2021)A Novel Approach on the Intuitionistic Fuzzy Rough Frank Aggregation Operator-Based EDAS Method for Multicriteria Group Decision-MakingComplexity10.1155/2021/55343812021Online publication date: 1-Jan-2021
https://dl.acm.org/doi/10.1155/2021/5534381
Ma ZYang W(2020)Symmetric Intuitionistic Fuzzy Weighted Mean Operators Based on Weighted Archimedean t-Norms and t-Conorms for Multi-Criteria Decision MakingInformatica10.15388/20-INFOR39031:1(89-112)Online publication date: 1-Jan-2020
https://dl.acm.org/doi/10.15388/20-INFOR390
Show More Cited By

The quasi-arithmetic intuitionistic fuzzy OWA operators
1. Computing methodologies
  1. Artificial intelligence
    1. Knowledge representation and reasoning

Recommendations

Induced generalized intuitionistic fuzzy operators

We study the induced generalized aggregation operators under intuitionistic fuzzy environments. Choquet integral and Dempster-Shafer theory of evidence are applied to aggregate inuitionistic fuzzy information and some new types of aggregation operators ...
Constructing Choquet integral-based operators that generalize weighted means and OWA operators

A new class of aggregation operators is proposed to generalize weighted means and OWA operators.SUOWA operators are defined by using Choquet integral.These operators are continuous, monotonic, idempotent, compensative and homogeneous of degree 1 ...
The quasi-arithmetic triangular fuzzy OWA operator based on Dempster-Shafer theory

The belief structure quasi-arithmetic triangular fuzzy ordered weighted averaging BS-QTFOWA operator is developed by extending the quasi-arithmetic ordered weighted averaging operator to accommodate triangular fuzzy values by using Dempster-Shafer ...

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image Knowledge-Based Systems

Knowledge-Based Systems Volume 27, Issue

March, 2012

498 pages

ISSN:0950-7051

Issue’s Table of Contents

Copyright © Elsevier B.V. © 2011.

Publisher

Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 01 March 2012

Author Tags

Qualifiers

Article

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

22
Total Citations
View Citations
0
Total Downloads

Downloads (Last 12 months)0
Downloads (Last 6 weeks)0

Reflects downloads up to 14 Jan 2025

Other Metrics

View Author Metrics

Citations

Cited By

Tian YMa Z(2022)Covering-based compound mean operators arising from Heronian and Bonferroni mean operators in fuzzy and intuitionistic fuzzy environmentsJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-21145742:3(2115-2126)Online publication date: 1-Jan-2022
https://dl.acm.org/doi/10.3233/JIFS-211457
Yahya MNaeem MAbdullah SQiyas MAamir M(2021)A Novel Approach on the Intuitionistic Fuzzy Rough Frank Aggregation Operator-Based EDAS Method for Multicriteria Group Decision-MakingComplexity10.1155/2021/55343812021Online publication date: 1-Jan-2021
https://dl.acm.org/doi/10.1155/2021/5534381
Ma ZYang W(2020)Symmetric Intuitionistic Fuzzy Weighted Mean Operators Based on Weighted Archimedean t-Norms and t-Conorms for Multi-Criteria Decision MakingInformatica10.15388/20-INFOR39031:1(89-112)Online publication date: 1-Jan-2020
https://dl.acm.org/doi/10.15388/20-INFOR390
Fu QSong YFan CLei LWang X(2020)Evidential model for intuitionistic fuzzy multi-attribute group decision makingSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-019-04389-224:10(7615-7635)Online publication date: 1-May-2020
https://dl.acm.org/doi/10.1007/s00500-019-04389-2
Akram MDudek WDar J(2019)Pythagorean Dombi fuzzy aggregation operators with application in multicriteria decision‐makingInternational Journal of Intelligent Systems10.1002/int.2218334:11(3000-3019)Online publication date: 24-Sep-2019
https://dl.acm.org/doi/10.1002/int.22183
Yang WShi JLiu YPang YLin R(2018)Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Operators and Their Application in Multiple-Attribute Decision-MakingComplexity10.1155/2018/36062452018Online publication date: 1-Nov-2018
https://dl.acm.org/doi/10.1155/2018/3606245
Zeng SMerigó JPalacios-Marqués DJin HGu F(2017)Intuitionistic fuzzy induced ordered weighted averaging distance operator and its application to decision makingJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-14121932:1(11-22)Online publication date: 1-Jan-2017
https://dl.acm.org/doi/10.3233/JIFS-141219
Xu ZZhao N(2016)Information fusion for intuitionistic fuzzy decision makingInformation Fusion10.1016/j.inffus.2015.07.00128:C(10-23)Online publication date: 1-Mar-2016
https://dl.acm.org/doi/10.1016/j.inffus.2015.07.001
Tan CJiang ZChen XIp W(2015)Atanassov's intuitionistic fuzzy Quasi-Choquet geometric operators and their applications to multicriteria decision makingFuzzy Optimization and Decision Making10.1007/s10700-014-9196-y14:2(139-172)Online publication date: 1-Jun-2015
https://dl.acm.org/doi/10.1007/s10700-014-9196-y
Yu DLi D(2014)Dual hesitant fuzzy multi-criteria decision making and its application to teaching quality assessmentJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.5555/2684890.268489827:4(1679-1688)Online publication date: 1-Jul-2014
https://dl.acm.org/doi/10.5555/2684890.2684898
Show More Cited By

View Options

View options

Media

Figures

Other

Tables

View Issue’s Table of Contents