H\'s definition of a bornology a conception of a fuzzy bornological spaces is defined,two new operations(internal union and intersection)of families of fuzzy subsets of an arbitrary universe are introduced and a pilot study is given to their fundamental properties.

Then a conception of a fuzzy bornological base is imported.

Green Space between Houses——Construction of Fuzzy Space;

In the model, ideal condition of geological factors is taken as the fuzzy space and the closeness of ideal situation against the actual geological conditions and is taken as aythefic evaluation index to constract the mathemation model.

Based on the elaboration about the implication of Yin Yang theory and its influence on architectural space ,this essay discusses the form of fuzzy space in three aspects:the building, the group of buildings and the urban system, and points out that the fuzzy space in Yin Yang theory is a kind of space that is both in and out of a space and that can both combine and coexist with others.

In this paper a kind of vague space in traditional architecture is analyzed and its mode and dealing ways in Chinese traditional architecture are explored.

By using the concept of fuzzy spaces,we define the fuzzy modules(submodules)and fuzzy homomorphism of fuzzy modules.