FANDOM


Definition Edit

Given a universe set $ E $, the identity similarity function is a function $ IdSim:E\times E \longrightarrow \{0,1\} $ defined as

$ IdSim(x,y)= \left\{% \begin{array}{ll} 1, & \hbox{if $x=y$;} \\ 0, & \hbox{if $x\neq y$.} \\ \end{array}% \right. $

This similarity could be applied to every set $ E $ but give no information about the grade of resemblance between $ x $ and $ y $ when they are different.

Examples Edit

  • $ IdSim(0,0) = 1 $.
  • $ IdSim(0,1) = 0. $.
  • $ IdSim(\mbox{'car'},\mbox{'cars'}) = 0 $.
  • $ IdSim(\mbox{'car'},\mbox{'auto'}) = 0 $.