A Soft Computing Approach to Crack Detection and Impact Source Identification with Field-Programmable Gate Array Implementation

Table 3

Linguistic label membership function equations for different parameters.

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Membership function equations

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LL(𝑥)=(),0,𝑥≤0,0.1429−𝑥/0.1429,𝑥∈0,0.14290,𝑥≥0.1429.

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(),(),LH(𝑥)=0,𝑥≤0.1429𝑥/(0.1429),𝑥∈0,0.14290.3−𝑥/0.1428,𝑥∈0.1429,0.28570,𝑥≥0.2857.

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(),(),ML(𝑥)=0,𝑥≤0.1429,𝑥−0.1429/0.1428,𝑥∈0.1429,0.28570.2857−𝑥/0.1429,𝑥∈0.2857,0.42860,𝑥≥0.4286.

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(),(),MM(𝑥)=0,𝑥≤0.2857,𝑥−0.2857/0.1429,𝑥∈0.2857,0.42860.4286−𝑥/0.1428,𝑥∈0.4286,0.57140,𝑥≥0.5714.

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(),(),MH(𝑥)=0,𝑥≤0.4286,𝑥−0.4286/0.1428,𝑥∈0.4286,0.57140.5714−𝑥/0.1429,𝑥∈0.5714,0.71430,𝑥≥0.7143.

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(),(),HL(𝑥)=0,𝑥≤0.5714,𝑥−0.5714/0.1429,𝑥∈0.5714,0.71430.7143−𝑥/0.1428,𝑥∈0.7143,0.85710,𝑥≥0.8571.

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(),(),HH(𝑥)=0,𝑥≤0.7143,𝑥−0.7143/0.1428,𝑥∈0.7143,0.85710.857−𝑥/0.1429,𝑥∈0.8571,10,𝑥≥1.

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VH(𝑥)=(),0,𝑥≤0.8571,𝑥−0.8571/0.1429,𝑥∈0.8571,10,𝑥≥1.

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