favor-methods        package:kappalab        R Documentation(latin1)

_F_a_v_o_r _i_n_d_i_c_e_s

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

     Computes the favor indices of a Choquet integral from the
     underlying *normalized* capacity. The capacity can be given either
     under the form of an object of class 'capacity', 'card.capacity'
     or 'Mobius.capacity'.

_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"  The favor indices are computed from
          the Mobius transform of a capacity.

     _o_b_j_e_c_t = "_c_a_p_a_c_i_t_y"  The favor indices are computed directly from
          a capacity.

     _o_b_j_e_c_t = "_c_a_r_d._c_a_p_a_c_i_t_y"  The favor indices are computed from a
          cardinal capacity.

_R_e_f_e_r_e_n_c_e_s:

     J.-L. Marichal (2000), _Behavioral analysis of aggregation in
     multicriteria decision aid_, in: Preferences and Decisions under
     Incomplete Knowledge, J. Fodor and B. De Baets and P. Perny Eds,
     Physica-Verlag, pages 153-178.

     J.-L. Marichal (2004), _Tolerant or intolerant character of
     interacting criteria in aggregation by the Choquet integral_,
     European Journal of Operational Research 155:3, pages 771-791.

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

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

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

     ## a capacity
     mu <- capacity(c(0:13,13,13))

     ## its Mobius transform
     a <- Mobius(mu)

     ## their favor indices
     favor(mu)
     favor(a)

     ## the same with a card.capacity object
     mu <- lower.capacity(4)
     favor(mu)

