A Consideration on Sum-of-Products Forms with Non-Convex Fuzzy Truth Values

Author

Takagi, Noboru

Author_Institution

Toyama Prefectural Univ., Toyama

fYear

2006

fDate

24-26 July 2006

Firstpage

1

Lastpage

6

Abstract

Many types of fuzzy truth values have been proposed, such as numerical truth values, interval truth values, triangular truth values, trapezoid truth values and so on. Recently, a new type of fuzzy truth values (which we call multi-interval truth values) have been proposed and studied. The characteristic feature of multi-interval truth values is that not all of them are convex fuzzy truth values. This fact makes their algebraic structures complex to be clarified. By this reason, this paper clarifies some of the properties on functions defined over multi-interval truth values, when the number of variables and the number of non-convex multi-interval truth values are restricted.

Keywords

fuzzy logic; fuzzy set theory; algebraic structures complex; fuzzy logic; multiinterval truth values; nonconvex fuzzy truth values; sum-of-products forms; Boolean algebra; Design automation; Design engineering; Erbium; Fuzzy logic; Fuzzy sets; Fuzzy systems; Intelligent systems; Logic functions; Systems engineering and theory; Fuzzy Logic; Fuzzy Truth Values; Sum-of-products Forms;

fLanguage

English

Publisher

ieee

Conference_Titel

Automation Congress, 2006. WAC '06. World

Conference_Location

Budapest

Print_ISBN

1-889335-33-9

Type

conf

DOI

10.1109/WAC.2006.375740

Filename

4259813