Multi-interval truth valued logic

Author

Takagi, Noboru ; Kikuchi, Hiroaki ; Nakashima, Kazuto

Author_Institution

Dept. of Electron. & Informatics, Toyama Prefectural Univ., Japan

Volume

3

fYear

2001

fDate

6/23/1905 12:00:00 AM

Firstpage

1119

Lastpage

1122

Abstract

Many types of fuzzy truth values have been proposed, for example, numerical truth values, interval truth values, triangular truth values and trapezoid truth values and so on. This paper will discuss on algebraic structures on a new type of fuzzy truth values called multi-interval truth values. A multi-interval truth value is defined by the union of some of interval truth values. The operations on multi-interval truth values will be defined by applying the extension principle to the operations AND, OR, and NOT on numerical truth values. Then, the paper will show that an algebraic structure of multi-interval truth values with the operations defined is a de Morgan bisemilattice, which is a bisemilattice with the unit and zero, and with a unary operation that satisfies the involution and de Morgan´s laws

Keywords

algebra; fuzzy logic; multivalued logic; AND; NOT; OR; algebraic structure; de Morgan bisemilattice; fuzzy truth values; multi-interval truth valued logic; numerical truth values; Boolean algebra; Electron traps; Fuzzy logic; Fuzzy systems; Informatics; Logic functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2001. The 10th IEEE International Conference on

Conference_Location

Melbourne, Vic.

Print_ISBN

0-7803-7293-X

Type

conf

DOI

10.1109/FUZZ.2001.1008851

Filename

1008851