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

Author

Araki, Tomoyuki ; Tatsumi, Hisayuki ; Mukaidono, Masao ; Yamamoto, Fujio

Author_Institution

Dept. of Inf. & Comput. Sci., Kanagawa Inst. of Technol., Japan

fYear

1998

fDate

27-29 May 1998

Firstpage

289

Lastpage

296

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

Keywords

fuzzy logic; minimisation of switching nets; switching functions; ternary logic; AND-OR type; Kleenean functions; fuzzy PLA; fuzzy logic circuits; fuzzy switching functions; minimization; regular ternary logic; ternary logic; Application software; Computer science; Fuzzy logic; Fuzzy sets; Minimization; Multivalued logic; Programmable logic arrays; Switching circuits;

fLanguage

English

Publisher

ieee

Conference_Titel

Multiple-Valued Logic, 1998. Proceedings. 1998 28th IEEE International Symposium on

Conference_Location

Fukuoka

ISSN

0195-623X

Print_ISBN

0-8186-8371-6

Type

conf

DOI

10.1109/ISMVL.1998.679472

Filename

679472