An intuitionistic interpretation of the maxitive belief structure

This paper gives an intuitionistic interpretation of maxitive belief structure. Central to this interpretation is that we can use maxitive belief structure to convey correct information for any intuitionistic statement which is a pair of values, (L(A), D(A)), providing information on the value of a variable lying in the set A. Then we can represent an intuitionistic statement by a maxitive belief structure. In fact, we construct the most appropriate representation of an intuitionistic statement based on the entailment of maxitive belief structures. Using this type representation, we introduce methods to combine intu-itionistic statements using the combining rule of maxitive belief structures and making inferences from these type propositions using maxitive belief structures.