normalize-methods      package:kappalab      R Documentation(latin1)

_N_o_r_m_a_l_i_z_e_s _a _c_a_p_a_c_i_t_y.

_D_e_s_c_r_i_p_t_i_o_n:

     Returns the normalized version of a capacity. The capacity can be
     given either under the form of an object of class 'capacity',
     'card.capacity' or 'Mobius.capacity'. In the case of objects of
     class 'capacity' and 'card.capacity', the normalization is
     performed by dividing each coefficient of the capacity by the
     value of the capacity on the universe. In the case of objects of
     class 'Mobius.capacity', the normalization is performed by
     dividing each coefficient of the Mobius transform by the sum of
     all the coefficients.

_M_e_t_h_o_d_s:



     _o_b_j_e_c_t = "_M_o_b_i_u_s._c_a_p_a_c_i_t_y"  Returns an object of class
          'Mobius.capacity'.

     _o_b_j_e_c_t = "_c_a_p_a_c_i_t_y"  Returns an object of class 'capacity'.

     _o_b_j_e_c_t = "_c_a_r_d._c_a_p_a_c_i_t_y"  Returns an object of class
          'card.capacity'.

_S_e_e _A_l_s_o:

     'capacity-class', 
      'Mobius.capacity-class', 
      'card.capacity-class', 
      'Mobius-methods', 
      'is.normalized-methods'.

_E_x_a_m_p_l_e_s:

     ## a capacity
     mu <- capacity(0:15)

     ## normalize it
     is.normalized(mu)
     normalize(mu)

     ## a similar example with a Mobius.capacity object
     a <- Mobius(mu)
     is.normalized(a)
     normalize(a)
     zeta(normalize(a))

     ## a similar example with a card.capacity object
     mu <- card.capacity(0:6)
     is.normalized(mu)
     normalize(mu)
     Mobius(normalize(mu))

