A note on fuzzy subgroups and fuzzy homomorphism (Q1106946)
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scientific article; zbMATH DE number 4063370
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on fuzzy subgroups and fuzzy homomorphism |
scientific article; zbMATH DE number 4063370 |
Statements
A note on fuzzy subgroups and fuzzy homomorphism (English)
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1988
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The notion of fuzzy mapping (in the meaning of a fuzzy relation) is applied as a transformation of fuzzy groups (fuzzy groups with respect to product in [0,1] are considered; [cf. \textit{J. M. Anthony}, \textit{H. Sherwood}, J. Math. Anal. Appl. 69, 124-130 (1979; Zbl 0413.20041)]). The authors introduce t-level images and preimages of fuzzy groups and prove their properties. The notion of t-level f-fuzzy group proposed in the paper is rather singular as it is strictly connected with the given homomorphism f.
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fuzzy preimage
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fuzzy mapping
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fuzzy groups
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t-level images
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t-level f- fuzzy group
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homomorphism
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0.9499781
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0.9362038
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0.9348031
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0.9331387
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0.92411554
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