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This paper contains analysis of creation of sets and multisets as an approachfor modeling of some aspects of human thinking. The creation of sets isconsidered within constructive object-oriented version of set theory (COOST),from different sides, in particular classical set theory, object-orientedprogramming (OOP) and development of intelligent information systems (IIS). Themain feature of COOST in contrast to other versions of set theory is anopportunity to describe essences of objects more precisely, using theirproperties and methods, which can be applied to them. That is why this versionof set theory is object-oriented and close to OOP. Within COOST, the authorproposes universal constructor of multisets of objects that gives us apossibility to create arbitrary multisets of objects. In addition, a fewdetermined constructors of multisets of objects, which allow creatingmultisets, using strictly defined schemas, also are proposed in the paper. Suchconstructors are very useful in cases of very big cardinalities of multisets,because they give us an opportunity to calculate a multiplicity of each objectand cardinality of multiset before its creation. The proposed constructors ofmultisets of objects allow us to model in a sense corresponding processes ofhuman thought, that in turn give us an opportunity to develop IIS, using thesetools.

Universal and Determined Constructors of Multisets of Objects