Research Article

Type-2 Fuzzy Modeling for Acoustic Emission Signal in Precision Manufacturing

Algorithm 1

if 𝑝 βˆ— π‘˜ > πœ€ 𝑝 βˆ— 1 , accept π‘₯ βˆ— π‘˜ as a cluster center and continue.
   else if 𝑝 βˆ— π‘˜ < πœ€ βˆ’ 𝑝 βˆ— 1 , reject π‘₯ βˆ— π‘˜ and end the clustering process.
      else let 𝑑 m i n = shortest of the distances between π‘₯ βˆ— π‘˜ and all previously found cluster centers.
         if ( 𝑑 m i n / π‘Ÿ π‘Ž ) + ( 𝑝 βˆ— π‘˜ / 𝑝 βˆ— 1 ) β‰₯ 1 accept π‘₯ βˆ— π‘˜ as a cluster center and continue.
         else reject π‘₯ βˆ— π‘˜ and set the potential at π‘₯ βˆ— π‘˜ to 0. Select the data point with the next highest potential
         as the new π‘₯ βˆ— π‘˜ and reset.
         end if
      end if
end if