Fuzzy Soft System and Arrhythmia Classification

Algorithm 1

STEP 1:  Algorithm for Fuzzification Mechanism

(1) Input—Fuzzy System with suitable “𝑛” parameters

𝐴_𝑖, 𝑖=1,2,…,𝑛

(2) 𝑖←1

While   𝑖≤𝑛   do

 (1) Categorize in 𝑛_𝑖 fuzzy sets 𝑋_𝑗 in linguistic variables, 𝑗=1,2,…,𝑛_𝑖

 while 𝑗≤𝑛_𝑖   do

  (1) Design suitable membership function 𝜇_𝑋𝑗

 end while

end while

STEP 2: Algorithm for Fuzzy Rule Base and Defuzzification Mechanism

(1) Input—“𝑛_𝑖” linguistic variables 𝑋_𝑗, 𝑖=1,2,…,𝑛 and 𝑗=1,2,…,𝑛_𝑖

(2) Input—“𝑚” output parameter 𝑌_𝑘, 𝑘=1,2,…,𝑚

(3) Develop “𝑟” If-Then Fuzzy Rules 𝑅_𝑝 in consultation with medical experts, 𝑝=1,2,…,𝑟

(4) Input—Fuzzy Rule Base 𝑅_𝑝

(5) Input—Values of parameters 𝐴_𝑖

(6) 𝑝←1

while 𝑝≤𝑟   do

 (1) Calculate firing strength 𝑤_𝑝=AND 𝐴_𝑖, 𝑖=1,2,…,𝑛

 (2) 𝑍_𝑝= 𝑝th rule’s consequent fuzzy set.

end while

(7) Final Output of the fuzzy system 𝑍=∑^𝑟_𝑝=1𝑧_𝑝𝑤_𝑝𝑤_𝑝

(8) Evaluated Diagnosis (ED) = Final output

STEP 3: Algorithm for Satisfactory Factor Mechanism

(1) Input—Evaluated Diagnosis (ED), Observed Diagnosis (OD)

(2) Input—“𝑛” input parameter 𝐴_𝑖, 𝑖=1,2,…,𝑛 and output result 𝑍

(3) 𝑖←1

(4) DM_𝑇=1

while 𝑖≤𝑛   do

 (1) Calculate DM(𝐴_𝑖) = 2𝜇_𝐴𝑗−1

 (2) DM_𝑇=DM_𝑇 AND DM(𝐴_𝑖)

end while

(5) Calculate DM_𝑂=DM(𝑍) = 2𝜇_𝑍−1

(6) Evaluate Satisfactory Factor (SF) = DM_𝑇−DM_𝑂