  A tendering is a negotiating process for a contract through by a tenderer
issuing an invitation, bidders submitting bidding documents and the tenderer
accepting a bidding by sending out a notification of award. As a useful way of
purchasing, there are many norms and rulers for it in the purchasing guides of
the World Bank, the Asian Development Bank, $...$, also in contract conditions
of various consultant associations. In China, there is a law and regulation
system for tendering and bidding. However, few works on the mathematical model
of a tendering and its evaluation can be found in publication. The main purpose
of this paper is to construct a Smarandache multi-space model for a tendering,
establish an evaluation system for bidding based on those ideas in the
references [7] and [8] and analyze its solution by applying the decision
approach for multiple objectives and value engineering. Open problems for
pseudo-multi-spaces are also presented in the final section.
