The DOI matches its Crossref record; 61 of the 61 references it cites were found in a registry or an index.
Intuitionistic Fuzzy Information Aggregation Using Einstein Operations
Abstract
Aggregation of fuzzy information is a new branch of Atanassov's intuitionistic fuzzy set (AIFS) theory, which has attracted significant interest from researchers in recent years. In this paper, we treat the intuitionistic fuzzy aggregation operators with the help of Einstein operations. We first introduce some new operations of AIFSs, such as Einstein sum, Einstein product, and Einstein scalar multiplication. Then, we develop some intuitionistic fuzzy aggregation operators, such as the intuitionistic fuzzy Einstein weighted averaging operator and the intuitionistic fuzzy Einstein ordered weighted averaging operator, which extend the weighted averaging operator and the ordered weighted averaging operator to aggregate Atanassov's intuitionistic fuzzy values, respectively. We further establish various properties of these operators and analyze the relations between these operators and the existing intuitionistic fuzzy aggregation operators. Moreover, we give some numerical examples to illustrate the developed aggregation operators. Finally, we apply the intuitionistic fuzzy Einstein weighted averaging operator to multiple attribute decision making with intuitionistic fuzzy information.
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On ordered weighted averaging aggregation operators in multicriteria decisionmaking
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Cited by
Liu, P. (2014) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2013.2248736 · Cited by 403
Some Picture Fuzzy Aggregation Operators and Their Applications to Multicriteria Decision-Making
Garg, H. (2017) · Arabian Journal for Science and Engineering · doi:10.1007/s13369-017-2625-9 · Cited by 401
Metadata
- Authors
- Wang, W., & Liu, X.
- Venue
- IEEE Transactions on Fuzzy Systems
- Published
- 2012-10
- Volume
- 20
- Issue
- 5
- Pages
- 923-938
- ISSN
- 1063-6706 (ISSN-L)
- 1941-0034
- OpenAlex
- W2008103229
- Cited by
- 416
- References
- 61
- FWCI
- 19.90
- Type
- journal article
- Language
- en
- Open access
- closed
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