Introduction
Definitions and some properties
S-similarity measure of Pythagorean fuzzy sets
Applications
Similarity measures | \((A_1,A)\) | \((A_2,A) \) | \((A_3,A)\) |
---|---|---|---|
\(s(A_i,A)_{S_1} \) | 0.782891 | 0.81779 | 0.813639 |
\(s(A_i,A)_{S_2} \) | 0.71710 | 0.762529 | 0.727919 |
\(s(A_i,A)_{S_3} \) | 0.750638 | 0.787019 | 0.765401 |
Similarity measures | \((A_1,A) \) | \((A_2,A) \) | \((A_3,A) \) |
---|---|---|---|
\(WPFC^1(A_i,A) \) | 0.9686 | 0.9712 | 0.9844 |
\(WPFCS^1(A_i,A) \) | 0.6573 | 0.7627 | 0.9329 |
\(WPFCS^2(A_i,A) \) | 0.8843 | 0.9228 | 0.9782 |
\(WPFCT^1(A_i,A) \) | 0.4475 | 0.4995 | 0.7206 |
\(WPFCT^2(A_i,A) \) | 0.6554 | 0.6887 | 0.8225 |
\(s(A_i,A)_{S_1} \) | 0.925949 | 0.950922 | 0.987392 |
\(s(A_i,A)_{S_2} \) | 0.892949 | 0.933695 | 0.977661 |
\(s(A_i,A)_{S_3} \) | 0.900065 | 0.93573 | 0.977977 |
Similarity measures | \((A_1,A) \) | \((A_2,A) \) | \((A_3,A) \) | \((A_4,A) \) | \((A_5,A) \) |
---|---|---|---|---|---|
\( WPFC^1(A_i,A) \) | 0.8237 | 0.7840 | 0.8283 | 0.3512 | 0.2360 |
\( WPFCS^1(A_i,A) \) | 0.9191 | 0.9250 | 0.8599 | 0.7627 | 0.6392 |
\( WPFCS^2(A_i,A) \) | 0.9623 | 0.9554 | 0.9449 | 0.8115 | 0.7502 |
\( WPFCT^1(A_i,A) \) | 0.6965 | 0.6917 | 0.6623 | 0.5193 | 0.4393 |
\( WPFCT^2(A_i,A) \) | 0.7861 | 0.7802 | 0.7778 | 0.5844 | 0.5210 |
\(s(A_i,A)_{S_1} \) | 0.963599 | 0.953632 | 0.976896 | 0.69625 | 0.885657 |
\( s(A_i,A)_{S_2} \) | 0.947133 | 0.925329 | 0.973385 | 0.274601 | 0.718038 |
\( s(A_i,A)_{S_3} \) | 0.949363 | 0.931862 | 0.974272 | 0.592272 | 0.819329 |