The extension of algebraic and analytical concepts to the theory of fuzzy sets appears to play a central role in the investigation of nondeterministic techniques. Since an exact description of any real physical situation is virtually impossbile, it is necessary to develop schemes which deal analytically with decision processes in an imprecise environment. In this paper we are concerned with formulating such a framework and with introducing a bibliography of 570 items, all classified with fuzzy set theory and its applications, which will help the readers to come to grips with the literature explosion on the subjects of fuzzy sets, fuzzy algebra, fuzzy statistics, and closely related applications.