The DOI matches its Crossref record; 32 of the 32 references it cites were found in a registry or an index.
Group Decision Making Based on Heronian Aggregation Operators of Intuitionistic Fuzzy Numbers
Abstract
Archimedean t -conorm and t -norm provide the general operational rules for intuitionistic fuzzy numbers (IFNs). The aggregation operators based on them can generalize most of the existing aggregation operators. At the same time, the Heronian mean (HM) has a significant advantage of considering interrelationships between the attributes. Therefore, it is very necessary to extend the HM based on IFNs and to construct intuitionistic fuzzy HM operators based on the Archimedean t -conorm and t -norm. In this paper, we first discuss intuitionistic fuzzy operational rules based on the Archimedean t -conorm and t -norm. Then, we propose the intuitionistic fuzzy Archimedean Heronian aggregation (IFAHA) operator and the intuitionistic fuzzy weight Archimedean Heronian aggregation (IFWAHA) operator. We also further discuss some properties and some special cases of these new operators. Moreover, we also propose a new multiple attribute group decision making (MAGDM) method based on the proposed IFAHA operator and the proposed IFWAHA operator. Finally, we use an illustrative example to show the MAGDM processes and to illustrate the effectiveness of the developed method.
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Cites
Zadeh, L. A. (1965) · Information and Control · doi:10.1016/s0019-9958(65)90241-x · Cited by 67,855
Atanassov, K. T. (1986) · Fuzzy Sets and Systems · doi:10.1016/s0165-0114(86)80034-3 · Cited by 16,465
Intuitionistic Fuzzy Aggregation Operators
Xu, Z. (2007) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2006.890678 · Cited by 2,678
Some geometric aggregation operators based on intuitionistic fuzzy sets
Xu, Z., & Yager, R. R. (2006) · International Journal of General Systems · doi:10.1080/03081070600574353 · Cited by 2,356
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More on intuitionistic fuzzy sets
Atanassov, K. T. (1989) · Fuzzy Sets and Systems · doi:10.1016/0165-0114(89)90215-7 · Cited by 1,490
Handling multicriteria fuzzy decision-making problems based on vague set theory
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Self-citationMulticriteria fuzzy decision-making problems based on vague set theory
Hong, D. H., & Choi, C.-H. (2000) · Fuzzy Sets and Systems · doi:10.1016/s0165-0114(98)00271-1 · Cited by 1,010
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Cited by
Senapati, T., & Yager, R. R. (2019) · Engineering Applications of Artificial Intelligence · doi:10.1016/j.engappai.2019.05.012 · Cited by 451
Spherical fuzzy sets and their applications in multi-attribute decision making problems
Ashraf, S., Abdullah, S., Mahmood, T., Ghani, F., & Mahmood, T. (2019) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-172009 · Cited by 407
Liu, P., Chen, S.-M., & Wang, P. (2019) · IEEE Transactions on Systems, Man, and Cybernetics: Systems · doi:10.1109/tsmc.2018.2852948 · Cited by 265
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Metadata
- Authors
- Liu, P., & Chen, S.-M.
- Venue
- IEEE Transactions on Cybernetics
- Published
- 2017-09
- Volume
- 47
- Issue
- 9
- Pages
- 2514-2530
- ISSN
- 2168-2267 (ISSN-L)
- 2168-2275
- OpenAlex
- W2563128797
- Cited by
- 287
- References
- 32
- FWCI
- 46.71
- Type
- journal article
- Language
- en
- Open access
- closed
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- Liu, P., & Chen, S.-M. (2017). Group Decision Making Based on Heronian Aggregation Operators of Intuitionistic Fuzzy Numbers. IEEE Transactions on Cybernetics. https://doi.org/10.1109/tcyb.2016.2634599
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