Dritte Normalform - ein Nicht-Schlüssel-Attribut darf nicht von einem Schlüssel und einem anderen Nicht-Schlüssel abhängen
Die
dritte Normalform (
NF3) verlangt, daß bei allen in der Datenbank definierten Tabellen, die
bereits in der zweiten Normalform sind, kein Attribut C existiert, das bereits funktional von einem Nicht-Schlüssel-Attribut B abhängt. Denn da
das Attribut C zur Tabelle gehört, sollte es vom Primärschlüssel A dieser Tabelle voll funktional abhängig sein. A umfaßt nur
ein Attribut, da die Tabelle bereits in der zweiten Normalform ist. Ist C jedoch zusätzlich vom Nicht-Schlüssel-Attribut B abhängig und ist das Nicht-Schlüssel-Attribut vom Primärschlüssel A
abhängig, so ist die Folgerung A -> C zwingend. Das transitiv abhängige Attribut C und das Attribut B bilden eine
neue, bislang noch nicht in einer eigenen Tabelle isolierte Relation. Diese kann aus der aktuellen Tabelle herausgezogen werden,
in die aktuelle Tabelle wird nur noch Attribut B bzw. der Primärschlüssel der neu gebildeten Tabelle eingetragen.
Der Unterschied zur vollen funktionalen Abhängigkeit der zweiten Normalform besteht darin, daß es sich hier um
eine zusätzliche Beziehung zwischen zwei Nicht-Schlüssel-Attributen handelt. Die Frage nach der zweiten Normalform
lautet dagegen, ob ein Nicht-Schlüssel-Attribut vom gesamten Schlüssel oder nur von einem Teilschlüssel abhängt. Falls
letzteres der Fall ist, wird das Attribut in eine bereits vorhandene Tabelle, in welcher der Teilschlüssel der
Primärschlüssel ist, verschoben.
Betrachten Sie den folgenden Ausschnitt aus dem ursprünglichen Beispiel 2:
lfNr | Liefer-Nr | Datum | Artikel (E) | Lieferant | EP | Zahl | Artikel (V) | Empfänger | EP | Zahl |
---|
1 | 24 | 15.2.2003 | Hosen, blau | FA Muster-Liefer GbR, Nürnberg | 39.90 | 50 | | | | |
2 | 24 | 15.2.2003 | Hose, braun | FA Muster-Liefer GbR, Nürnberg | 39.90 | 50 | | | | |
Zunächst ist offensichtlich, daß der Lieferant herausgezogen und die Adresse aufgesplittet wird. In die aktuelle
Tabelle wird lediglich die Lieferanten-Nummer eingetragen. Dann können Artikel-Namen und Farbbezeichnungen in schmale,
zweispaltige Tabellen bestehend aus Id und Begriff, ausgelagert werden. Dies erlaubt es, für die Eingabe Pulldown-Felder
zu nutzen und vermeidet Fehler aufgrund von Rechtschreib-Problemen bei der Texteingabe. Die Tabelle sieht
wie folgt aus:
lfNr | Liefer-Nr | Datum | Artikel-Nr | Farb-Id | Lieferanten-Id | EP | Zahl |
---|
Es fällt auf, daß eine Lieferung, durchgeführt an einem
Tag, aus mehreren Artikeln bestehen kann, so daß mehrere Zeilen dieselbe Liefer-Nummer und dasselbe Datum enthalten
sowie sich auf einen Lieferanten beziehen. Besteht jede Lieferung nur aus einem Artikel, so ist die Spalte Liefer-Nr
überflüssig und könnte entfernt bzw. durch 'lfNr' ersetzt werden. Besteht eine Lieferung aus mehreren Artikeln, so sind Datum und Lieferanten-Nummer
abhängig von der Liefer-Nummer. Der Artikel, sein Einkaufspreis und die Artikel-Anzahl hängen jedoch nur vom Primärschlüssel
dieser Zeile ab und unterscheidet sich von anderen Zeilen, die zu derselben Lieferung gehören. Also kann eine Tabelle gebildet werden,
welche die Grunddaten jeder Lieferung enthält. Eine auf dieser basierende Detailtabelle 'Lieferdetails' beinhaltet pro Zeile eine
Kombination aus Artikel, Farbe und Preis. Damit ergibt sich für die Lieferungen die folgende Aufteilung:
Tabelle tbl_Lieferungen:
Liefer-Nr | Datum | Lieferanten-Id |
---|
Tabelle tbl_Lieferdetails:
lfNr-Details | Liefer-Nr | Artikel-Nr | Farb-Nr | EP | Zahl |
---|
Die detaillierte Betrachtung einzelner Liefer-Details führt zum Sichtbar-Werden von Wiederholungen, so daß
ein neues 'Objekt' 'Bestell-Rahmendaten', 'Grundtatsachen einer Lieferung' identifiziert und in eine eigene
Tabelle ausgelagert wird. Beachten Sie, daß dies nur dann gilt, falls tatsächlich eine Lieferung aus mehreren
Artikeln besteht. Selbstverständlich sind Szenarien denkbar, in welchen dies nicht gilt - dann ist eine solche
zusätzliche, eingeschobene Tabelle redundant.
Ein Beispiel mit partieller Abhängigkeit
Betrachten Sie die folgende denormalisierte Tabelle:
Datum | Strasse | Haus | Etage | Wohnung | Zähler | Stand | Mitarbeiter |
---|
Ein Mitarbeiter eines Strom- oder Gaslieferanten liest diverse Strom- oder Gaszähler ab. Zur Straßen-Id gehören
viele Häuser, zu jedem Haus mehrere Etagen, zu jeder Etage mehrere Wohnungen. In jeder Wohnung befindet sich ein
Zähler mit einer eindeutigen Nummer. Dessen Stand wird zu einem festgelegten Datum turnusgemäß von verschiedenen Mitarbeitern abgelesen.
Jede Zeile kann eindeutig durch die beiden Spalten Datum und Zählernummer identifiziert werden. Denn jeder Zähler
wird an einem Tag höchstens einmal abgelesen. Damit bilden diese beiden Spalten den zusammengesetzten Primärschlüssel.
Die Mitarbeiter-Id hängt natürlich von diesem Geschäftsvorfall der Zähler-Ablesung ab. Die Straße ist ein nur vom Zähler,
nicht vom Datum abhängiges Attribut. Denn von der Zählernummer ausgehend ist die Straße über die Wohnung, Etage und das Haus festgelegt.
Zum Erreichen der zweiten Normalform werden deshalb Wohnung, Etage, Haus und Straße herausgezogen, all diese Werte
sind durch die Zähler-Id festgelegt. Bei der zweiten Normalform ergibt sich damit die folgende Tabelle:
Datum | Zähler | Stand | Mitarbeiter |
---|
Werden in diese
Tabelle viele Zeilen eingetragen, so wird eine zusätzliche Regelmäßigkeit sichtbar: Ein Mitarbeiter sammelt an
einem Tag Informationen von allen Häusern einer Straße. Die Spalte Mitarbeiter ist also bereits determiniert
durch die Kombination aus Datum und Hausnummer und wird bsp. im Rahmen einer Arbeitsverteilung in voraus festgelegt.
Oder die Mitarbeiter sind von vornherein Ablesebereichen zugeteilt, so daß - unabhängig vom Datum - bekannt ist,
welcher Mitarbeiter für die Ablesung innerhalb eines Intervalls zuständig ist. Im datumsfreien Fall gilt also die folgende
transitive Abhängigkeit:
Zähler ―> Straße ―> Mitarbeiter
Hier kann das Attribut 'Mitarbeiter' zur Tabelle 'Straße' hinzugefügt und aus der aktuellen Tabelle entfernt werden.
Für diese Straße ist jener Mitarbeiter zuständig. Bei der Version mit Datum gilt:
Zähler ―> Straße
Datum + Straße―> Mitarbeiter
Hier gibt es eine neue Tabelle mit Straßen-Id und Datum als Primärschlüssel sowie der Mitarbeiter-Id als Nicht-Schlüssel-Attribut.
Die Straße darf nicht zur normalisierten Tabelle mit Datum, Zähler und Zählerstand hinzugenommen werden, weil sie
vom Zähler voll funktional abhängig ist.
Die restlichen Spalten werden gemäß der 1:n - Beziehung kanonisch normalisiert, so daß sich insgesamt die folgende Tabellenstruktur ergibt:
Strassen-Id | Ort | Name | weitere für Straßen typische Eigenschaften |
---|
Haus-Id | Strassen-Id | Hausnummer | weitere für Häuser typische Eigenschaften |
---|
Etagen-Id | Haus-Id | Etagennummer | weitere für Etagen typische Eigenschaften |
---|
Wohnungs-Id | Etagen-Id | Hauptmieter | weitere für Wohnungen typische Eigenschaften |
---|
Zähler-Id | Wohnungs-Id | Werksnummer - 10-stellig mit Buchstaben | weitere für Zähler typische Eigenschaften |
---|
Die neu identifizierte Tabelle mit Datum und Straßen-Id als Primärschlüssel:
Datum | Straßen-Id | Mitarbeiter |
---|
Die Tabelle mit den eigentlichen Ablesedaten sieht nun wie folgt aus:
Datum | Zähler-Id | Zählerstand | Bemerkungen |
---|
Erläuterungen zum Verhältnis zwischen der zweiten und der dritten Normalform
Die Notwendigkeit der ersten Normalform dürfte den meisten Lesern unmittelbar einleuchten. Die Forderung nach dem
Erfüllen der zweiten und der dritten Normalform bzw. nach dem Unterschied zwischen beiden Normalformen dürfte dagegen
eher irritieren, da es sich hierbei um relativ stark mathematisch geprägte Konzepte handelt. Es folgen deshalb einige
erläuternde Bemerkungen.
- Die zweite Normalform verlangt, daß Attribute in den korrekten Tabellen untergebracht sind. Normalerweise
lassen sich einige 'statische Entitäten' rasch identifizieren und in eigene Tabellen mit Primärschlüsseln exportieren.
Dann kann es zusätzliche Bewegungsdaten geben, welche diese Grunddaten, oft zeitpunktgebunden,
miteinander verknüpfen. Eine solche Tabelle enthält einige Fremdschlüssel auf die Grundtabellen sowie zusätzliche Spalten.
Damit umfaßt ein Schlüssel-Kandidat mehrere Attribute. Bei den Nicht-Schlüssel-Attributen muß geprüft werden, ob sie tatsächlich
zum aktuellen Geschäftsvorfall oder zu einer der Grundtabellen gehören, falls es sich um zeitlich unveränderliche Eigenschaften
handelt. Ändern sie sich dagegen in größeren Abständen, so daß zu verschiedenen Geschäftsvorfällen derselbe Attributwert gehört,
dieses jedoch nicht einer Grundtabelle zugewiesen werden kann, so ist das Attribut in eine eigene Tabelle herauszuziehen.
- Die dritte Normalform entspricht im wesentlichen der Forderung, 'eigenständige Einheiten' korrekt
zu identifizieren. Ist eine denormalisierte Tabelle mit Filmtiteln, Regisseuren und ihren Geburtsdaten gegeben,
so ist offenkundig das Geburtsdatum nur vom Regiseur, nicht jedoch von dem Film abhängig, in welchem der
Schauspieler mitwirkt. Die Personen werden mit dem Attribut 'Geburtsdatum' herausgezogen, in eine eigene Tabelle
mit Primärschlüssel abgelegt und nur dieser in die Filmtabelle eingebunden.
- Werden solche Tabellen, die gewisse 'Handelnde', 'eigenständige Objekte' oder 'Stammdaten' beschreiben,
mit einem zusätzlichen Primärschlüssel als Autowert definiert, so sind diese Tabellen in der Regel bereits
in der zweiten Normalform. Denn das 'eigenständige Objekt', das durch eine Zeile abgebildet ist, determiniert
seine Attribute. Da der hinzugefügte Primärschlüssel aus einer Spalte besteht, kann keine echte Teilmenge des
Primärschlüssels gebildet werden.
- Zusammengefaßt: Die Attribute innerhalb einer Tabelle müssen durch den Primärschlüssel vollständig
determiniert sowie voneinander unabhängig sein. Abhängigkeiten zwischen Attributen sind in eigene Tabellen
zu isolieren.
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