Armstrong (1974) proposed systematic approach to derive functional…

2013

Armstrong (1974) proposed systematic approach to derive functional dependencies. Match the following w.r.t. Functional dependencies:

List – I
a. Decomposition rule
b. Union rule
c. Composition rule
d. Pseudo transitivity rule

List – II
i. If X → Y and Z → W then {X, Z} → {Y, W}
ii. If X → Y and {Y, W} → Z then {X, W} → Z
iii. If X → Y and X → Z then X → {Y, Z}
iv. If X → {Y, Z} then X → Y and X → Z

  1. A.

    iii ii iv i

  2. B.

    i iii iv ii

  3. C.

    ii i iii iv

  4. D.

    iv iii i ii

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Correct answer: D

The correct matching is a-iv, b-iii, c-i, d-ii. Decomposition rule states if X → {Y, Z} then X → Y and X → Z (iv). Union rule states if X → Y and X → Z then X → {Y, Z} (iii). Composition rule states if X → Y and Z → W then {X, Z} → {Y, W} (i). Pseudo transitivity rule states if X → Y and {Y, W} → Z then {X, W} → Z (ii).

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