Identification of incompletely specified multiple-valued Kleenean functions

Author

Takagi, Noboru ; Kikuchi, Hiroaki ; Nakashima, Kyoichi ; Mukadiono, Masao

Author_Institution

Dept. of Electron. & Inf. Eng., Toyama Univ., Japan

Volume

28

Issue

5

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

637

Lastpage

647

Abstract

This paper focuses on incompletely specified multiple-valued Kleenean functions (1991). It is easy to verify that they do not have functional completeness in the class of all functions on the unit interval. Therefore, not all incompletely specified functions on the unit interval are incompletely specified multiple-valued Kleenean functions. In this paper, we will clarify a necessary and sufficient condition for an incompletely specified function to be an incompletely specified multiple-valued Kleenean function. Further, we show an algorithm which derives one of the logic formulas representing the incompletely specified multiple-valued Kleenean function. In considering the application of multiple-valued Kleenean functions, we will show an example which suggests the possibility that input-output data can be described abstractly in terms of multiple-valued Kleenean functions

Keywords

algebra; functions; identification; knowledge representation; multivalued logic; I/O data; incompletely specified multiple-valued Kleenean function identification; input-output data; necessary and sufficient condition; Algebra; Fuzzy logic; Fuzzy neural networks; Fuzzy sets; Fuzzy systems; Informatics; Knowledge representation; Logic functions; Neural networks; Sufficient conditions;

fLanguage

English

Journal_Title

Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on

Publisher

ieee

ISSN

1083-4427

Type

jour

DOI

10.1109/3468.709609

Filename

709609