Compositions of invariant fuzzy implications
Abstract We examine sup-min compositions in a finite family of fuzzy implications. Since the composition of invariant fuzzy implications is an invariant function, then we get a kind of `multiplication table' for such implications. A multistage proof of such table is presented. As a result we ob...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Drewniak, J. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2005 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Berlin Heidelberg 2005 |
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| Übergeordnetes Werk: |
Enthalten in: Soft Computing - Springer-Verlag, 2003, 10(2005), 6 vom: 28. Juni, Seite 514-520 |
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| Übergeordnetes Werk: |
volume:10 ; year:2005 ; number:6 ; day:28 ; month:06 ; pages:514-520 |
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10.1007/s00500-005-0527-3 |
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| 520 | |a Abstract We examine sup-min compositions in a finite family of fuzzy implications. Since the composition of invariant fuzzy implications is an invariant function, then we get a kind of `multiplication table' for such implications. A multistage proof of such table is presented. As a result we obtain examples of finite semigroups of fuzzy implications. | ||
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10.1007/s00500-005-0527-3 doi (DE-627)SPR006472583 (SPR)s00500-005-0527-3-e DE-627 ger DE-627 rakwb eng Drewniak, J. verfasserin aut Compositions of invariant fuzzy implications 2005 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2005 Abstract We examine sup-min compositions in a finite family of fuzzy implications. Since the composition of invariant fuzzy implications is an invariant function, then we get a kind of `multiplication table' for such implications. A multistage proof of such table is presented. As a result we obtain examples of finite semigroups of fuzzy implications. Fuzzy implication (dpeaa)DE-He213 Invariant implication (dpeaa)DE-He213 Composition table (dpeaa)DE-He213 Idempotent implication (dpeaa)DE-He213 Sobera, J. aut Enthalten in Soft Computing Springer-Verlag, 2003 10(2005), 6 vom: 28. Juni, Seite 514-520 (DE-627)SPR006469531 nnns volume:10 year:2005 number:6 day:28 month:06 pages:514-520 https://dx.doi.org/10.1007/s00500-005-0527-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 10 2005 6 28 06 514-520 |
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Abstract We examine sup-min compositions in a finite family of fuzzy implications. Since the composition of invariant fuzzy implications is an invariant function, then we get a kind of `multiplication table' for such implications. A multistage proof of such table is presented. As a result we obtain examples of finite semigroups of fuzzy implications. © Springer-Verlag Berlin Heidelberg 2005 |
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Abstract We examine sup-min compositions in a finite family of fuzzy implications. Since the composition of invariant fuzzy implications is an invariant function, then we get a kind of `multiplication table' for such implications. A multistage proof of such table is presented. As a result we obtain examples of finite semigroups of fuzzy implications. © Springer-Verlag Berlin Heidelberg 2005 |
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Abstract We examine sup-min compositions in a finite family of fuzzy implications. Since the composition of invariant fuzzy implications is an invariant function, then we get a kind of `multiplication table' for such implications. A multistage proof of such table is presented. As a result we obtain examples of finite semigroups of fuzzy implications. © Springer-Verlag Berlin Heidelberg 2005 |
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