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Table 5 Results for different reasoning schemes for A ′ = A

From: Similarity in fuzzy systems

Modified relation

Relation data (A′)

Input

S(A, A′)

Output (B′)

S(B, B′)

mr1, mr2, mr3

R 1

A

1.0

B′ ⊃ B

0.524941

 

R 2

A

1.0

B′ ⊃ B

0.526477

 

R 3

A

1.0

B′ ⊃ B

0.522559

 

R 4

A

1.0

B′=B

1.0

 

R 5

A

1.0

B′=B

1.0

 

R 6

A

1.0

B′ ⊃ B

0.945352

 

R 7

A

1.0

B′=B

1.0

 

R 8

A

1.0

B′=B

1.0

 

R 9

A

1.0

B′=B

1.0

mr4

 

A

1.0

B′ ⊃ B

0.526477

mr5

 

A

1.0

B′ ⊃ B

0.526477

mr6

 

A

1.0

B′ ⊃ B

0.526477

mr7

 

A

1.0

B′ ⊃ B

0.524941