Toward a Theory of Fuzzy Systems
Lotfi A. Zadeh · Advances in fuzzy systems · 1996
Many of the systems encountered in the real world are too complex and/or too ill-defined to be susceptible of exact analysis.The concept of a fuzzy set, that is, a class which admits of intermediate grades of membership in it, opens the possibility of analyzing such systems both qualitatively and quantitatively by allowing the input and/or the output and/or the state of the system to range over fuzzy sets.In this paper, several basic concepts relating to the characterization of discrete-time fuzzy systems are introduced and input-output-state equations for such systems are developed..