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ON THE MEASURE OF FUZZINESS AND NEGATION Part I: Membership in the Unit Interval
Abstract
We investigate the meaning of the concept of fuzziness. It is suggested that fuzziness can be related to the lack of distinction between a set and its negation. Using fuzzy subsets with grades of membership in the unit interval, measures of fuzziness are suggested. First, a class of measures based on metric distances is used to derive numeric measures of fuzziness of a fuzzy set. Finally, the concept of compatibility is used to develop linguistic measures of fuzziness.
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Citations
Cited by
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Self-citationGeneralized Orthopair Fuzzy Sets
Yager, R. R. (2017) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2016.2604005 · Cited by 2,251
Self-citationExtension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets
Zhang, X., & Xu, Z. (2014) · International Journal of Intelligent Systems · doi:10.1002/int.21676 · Cited by 1,506
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Metadata
- Authors
- YAGER, R. R.
- Venue
- International Journal of General Systems
- Publisher
- Informa UK Limited
- Published
- 1979-01
- Volume
- 5
- Issue
- 4
- Pages
- 221-229
- ISSN
- 0308-1079 (ISSN-L)
- 1563-5104
- OpenAlex
- W2170853747
- Cited by
- 590
- References
- 0
- FWCI
- 2.24
- Type
- journal article
- Language
- en
- Open access
- closed
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- YAGER, R. R. (1979). ON THE MEASURE OF FUZZINESS AND NEGATION Part I: Membership in the Unit Interval. International Journal of General Systems. https://doi.org/10.1080/03081077908547452
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