The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
Some Hamacher Aggregation Operators Based on the Interval-Valued Intuitionistic Fuzzy Numbers and Their Application to Group Decision Making
Abstract
With respect to multiple attribute group decision-making problems in which attribute values take the form of the interval-valued intuitionistic fuzzy numbers, the group decision-making methods based on some Hamacher aggregation operators, which extended the algebraic aggregation operators and Einstein aggregation operators, are developed. First, an interval-valued intuitionistic fuzzy Hamacher weighted averaging operator, interval-valued intuitionistic fuzzy Hamacher-ordered weighted averaging operator, interval-valued intuitionistic fuzzy Hamacher hybrid weighted averaging operator, interval-valued intuitionistic fuzzy Hamacher geometric weighted averaging operator, interval-valued intuitionistic fuzzy Hamacher geometric-ordered weighted averaging operator, and interval-valued intuitionistic fuzzy Hamacher geometric hybrid weighted averaging operator are proposed. Some desirable properties of these operators, such as commutativity, idempotency, monotonicity, and boundedness, are studied, and some special cases in these operators are analyzed. Furthermore, two methods to multicriteria decision group making based on these operators are developed. Finally, an illustrative example is given to verify the proposed methods and to demonstrate their practicality and effectiveness.
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Cites
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On ordered weighted averaging aggregation operators in multicriteria decisionmaking
Yager, R. R. (1988) · IEEE Transactions on Systems, Man, and Cybernetics · doi:10.1109/21.87068 · Cited by 7,289
Interval valued intuitionistic fuzzy sets
Atanassov, K., & Gargov, G. (1989) · Fuzzy Sets and Systems · doi:10.1016/0165-0114(89)90205-4 · Cited by 2,916
Interval-Valued Intuitionistic Fuzzy Sets
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Aggregation Functions: A Guide for Practitioners
(2007) · Studies in Fuzziness and Soft Computing · doi:10.1007/978-3-540-73721-6 · Cited by 1,639
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
An overview of methods for determining OWA weights
Xu, Z. (2005) · International Journal of Intelligent Systems · doi:10.1002/int.20097 · Cited by 786
Operators over interval valued intuitionistic fuzzy sets
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Cited by
Zhang, X. (2016) · Information Sciences · doi:10.1016/j.ins.2015.10.012 · Cited by 459
Senapati, T., & Yager, R. R. (2019) · Engineering Applications of Artificial Intelligence · doi:10.1016/j.engappai.2019.05.012 · Cited by 451
Liu, P., & Wang, Y. (2014) · Neural Computing and Applications · doi:10.1007/s00521-014-1688-8 · Cited by 306
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Metadata
- Authors
- Liu, P.
- Venue
- IEEE Transactions on Fuzzy Systems
- Published
- 2014-02
- Volume
- 22
- Issue
- 1
- Pages
- 83-97
- ISSN
- 1063-6706 (ISSN-L)
- 1941-0034
- OpenAlex
- W2080986991
- Cited by
- 403
- References
- 26
- FWCI
- 40.80
- Type
- journal article
- Language
- en
- Open access
- closed
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