Purpose - The purpose of this paper is to study the relationship between the property of distributivity and Zadeh's operators. Design/methodology/approach - The results are established by studying the relationship between the condition of distributivity and Zadeh's operations. Findings - When the t-conorm T{sup}* and t-norm T are Zadeh's "intersection" and "union" operations, respectively, or when the pseudo-addition {direct +} and pseudo-multiplication {direct ×} are Zadeh's "intersection" and "union" operations, respectively, a series of suf...