Minimization of incompletely specified regular ternary logic functions and its application to fuzzy switching functions

Abstract

Regular ternary logic functions are one of the most useful special class of Kleenean functions, and many works have been done on them. However, there have been few works on incompletely specified regular ternary logic functions. This paper describes on the following points: (1) Minimization of incompletely specified regular ternary logic functions. (2) A new definition of incompletely specified fuzzy switching functions and their minimization. (Concretely speaking, minimal disjunctive forms of incompletely specified fuzzy switching functions are represented in formulas of regular ternary logic functions.) (3) An application to fuzzy logic circuits such as a fuzzy PLA of AND-OR type.