The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems
Open accessAbstract
The concept of an intuitionistic fuzzy number (IFN) is of importance for quantifying an ill-known quantity, and the ranking of IFNs is a very difficult problem. The aim of this paper is to introduce the concept of a triangular IFN (TIFN) as a special case of the IFN and develop a new methodology for ranking TIFNs. Firstly the concepts of TIFNs and cut sets as well as arithmetical operations are introduced. Then the values and ambiguities of the membership function and the non-membership function for a TIFN are defined. A new ranking method is developed on the basis of the concept of a ratio of the value index to the ambiguity index and applied to multiattribute decision making problems in which the ratings of alternatives on attributes are expressed with TIFNs. The validity and applicability of the proposed method, as well as analysis of the comparison with other methods, are illustrated with a real example.
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Cites
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Multiple Attribute Decision Making: Methods and Applications
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Fuzzy Multiple Attribute Decision Making
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Using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly
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Metadata
- Authors
- Li, D.-F.
- Venue
- Computers & Mathematics with Applications
- Publisher
- Elsevier BV
- Published
- 2010-09
- Volume
- 60
- Issue
- 6
- Pages
- 1557-1570
- ISSN
- 0898-1221 (ISSN-L)
- OpenAlex
- W2050878123
- Cited by
- 366
- References
- 15
- FWCI
- 20.06
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Li, D.-F. (2010). A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems. Computers & Mathematics with Applications. https://doi.org/10.1016/j.camwa.2010.06.039
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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