Research Article

# A Method Based on Extended Fuzzy Transforms to Approximate Fuzzy Numbers in Mamdani Fuzzy Rule-Based System

## Table 1

The fuzzy rule set used for evaluating the livability in residential housings.
 ID Rule r1 IF (x1 = High) AND (x2 = High) AND (x3 = High) THEN y = High r2 IF (x1 = High) AND (x2 = Mean High) AND (x4 = Mean High) THEN y = Mean High r3 IF (x1 = High) AND (x3 = High) THEN y = High r4 IF (x1 = High) AND (x4 = High) THEN y = High r5 IF (x1 = High) AND (x3 = Mean High) AND (x5 = High) THEN y = High r6 IF (x1 = High) AND (x3 = Mean High) AND (x6 = High) THEN y = High r7 IF (x1 = High) AND (x3 = Mean High) AND (x5 = Mean High) THEN y = Mean High r8 IF (x1 = High) AND (x3 = Mean High) AND (x6 = Mean High) THEN y = Mean High r9 IF (x1 = High) AND (x4 = Mean High) AND (x5 = High) THEN y = High r10 IF (x1 = High) AND (x4 = Mean High) AND (x6 = High) THEN y = High r11 IF (x1 = High) AND (x4 = Mean High) AND (x5 = Mean High) THEN y = Mean High r12 IF (x1 = High) AND (x4 = Mean High) AND (x6 = Mean High) THEN y = Mean High r13 IF (x2 = High) AND (x3 = High) THEN y = High r14 IF (x2 = High) AND (x4 = High) THEN y = High r15 IF (x3 = High) AND (x4 = High) THEN y = High r16 IF (x3 = High) AND (x4 = Mean High) AND (x5 = High) THEN y = High r17 IF (x3 = High) AND (x4 = Mean High) AND (x5 = Mean High) THEN y = Mean High r18 IF (x3 = High) AND (x4 = Mean High) AND (x5 = Mean) THEN y = Mean High r19 IF (x3 = High) AND (x4 = Mean High) AND (x6 = High) THEN y = High r20 IF (x3 = High) AND (x4 = Mean High) AND (x6 = Mean High) THEN y = Mean High r21 IF (x4 = High) AND (x5 = High) THEN y = High r22 IF (x1 = Mean High ) AND (x3 = Mean High) THEN y = Mean High r23 IF (x1 = Mean High ) AND (x3 = Mean) THEN y = Mean High r24 IF (x1 = Mean High ) AND (x4 = Mean High) THEN y = Mean High r25 IF (x1 = Mean High ) AND (x4 = Mean) THEN y = Mean High r26 IF (x2 = Mean High) AND (x3 = High) THEN y = Mean High r27 IF (x2 = Mean High) AND (x3 = Mean High) THEN y = Mean High r28 IF (x2 = Mean High) AND (x4 = High) THEN y = Mean High r29 IF (x2 = Mean High) AND (x4 = Mean High) THEN y = Mean High r30 IF (x1 = Mean) AND (x3 = Mean High) THEN y = Mean r31 IF (x1 = Mean) AND (x3 = Mean) THEN y = Mean r32 IF (x1 = Mean) AND (x4 = Mean High) THEN y = Mean r33 IF (x1 = Mean ) AND (x4 = Mean) THEN y = Mean r36 IF (x2 = Mean) AND (x3 = Mean) THEN y = Mean r37 IF (x2 = Mean) AND (x4 = Mean) THEN y = Mean r38 IF (x3 = Mean) AND (x5 = Mean) THEN y = Mean r39 IF (x3 = Mean) AND (x6 = Mean) THEN y = Mean r40 IF (x4 = Mean) AND (x5 = Mean) THEN y = Mean r41 IF (x4 = Mean) AND (x6 = Mean) THEN y = Mean r42 IF (x1 = Mean) AND (x3 = Mean Low) THEN y = Mean Low r43 IF (x1 = Mean) AND (x4 = Mean Low) THEN y = Mean Low r44 IF (x1 = Mean Low) AND (x3 = Mean) THEN y = Mean Low r45 IF (x1 = Mean Low) AND (x4 = Mean) THEN y = Mean Low r46 IF (x2 = Mean Low) AND (x3 = Mean) THEN y = Mean Low r47 IF (x2 = Mean Low) AND (x4 = Mean) THEN y = Mean Low r48 IF (x3 = Mean Low) AND (x5 = Mean Low) THEN y = Mean Low r49 IF (x3 = Mean Low) AND (x6 = Mean Low) THEN y = Mean Low r50 IF (x4 = Mean Low) AND (x5 = Mean Low) THEN y = Mean Low r51 IF (x4 = Mean Low) AND (x6 = Mean Low) THEN y = Mean Low r52 IF (x3 = Mean Low) AND (x5 = Mean Low) THEN y = Mean Low r53 IF (x1 = Low) AND (x4 = Mean Low) THEN y = Low r54 IF (x1 = Low) AND (x4 = Low) THEN y = Low r55 IF (x2 = Low) AND (x4 = Mean Low) THEN y = Low r56 IF (x2 = Low) AND (x4 = Low) THEN y = Low r57 IF (x2 = Low) AND (x5 = Low) THEN y = Low r58 IF (x2 = Low) AND (x6 = Low) THEN y = Low r59 IF (x3 = Low) AND (x5= Low) THEN y = Low r60 IF (x3 = Low) AND (x6= Low) THEN y = Low r61 IF (x4 = Low) AND (x5= Low) THEN y = Low r62 IF (x4 = Low) AND (x6= Low) THEN y = Low

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