We　replace　the　group　of　grouplike　elements　of　the　quantized　enveloping　algebra　U-q(g)　of　a　finite　dimensional　semisimple　Lie　algebra　g　by　some　regular　monoid　and　get　the　weak　Hopf　algebra　ro(q)(d)(g).　It　is　a　subclass　of　weak　Hopf　algebras　but　not　Hopf　algebras.　Then　we　devote　to　constructing　a　basis　of　ro(q)(d)(g)　and　determine　the　group　of　weak　Hopf　algebra　automorphisms　of　ro(q)(d)(g)　when　q　is　not　a　root　of　unity.　(C)　2005　American　Institute　of　Physics.