Empty-stringizing of the false value in crisp and fuzzy granular hierarchical structures

Author

Tanaka, Takehiro ; Murai, Tetsuya ; Kudo, Yasuo ; Akama, Seiki

Author_Institution

Grad. Sch. of Inf. Sci. & Techlonogies, Hokkaido Univ., Sapporo, Japan

fYear

2014

Firstpage

993

Lastpage

997

Abstract

When we describe fuzzy sets in an extensional way, those elements whose grades of membership is 0 are often omitted by convention. Also when we describe a subset in the extensional notation, we do not describe any element which does not belong to the set. Of course, such elements have grade 0 of the characteristic function of the subset. But such description is truly made just by intuitive convention ? In this paper we explain such convention in terms of the new concept of empty-stringizing in the granular hierarchical structures proposed by our previous papers.

Keywords

fuzzy set theory; characteristic function; crisp granular hierarchical structures; empty stringizing; extensional notation; false value; fuzzy granular hierarchical structures; fuzzy sets; intuitive convention; Computer science; Educational institutions; Electronic mail; Fuzzy sets; Information science; Lattices; Systems engineering and theory; Conventional notation of sets; Crisp and fuzzy granular hierarchical structures; Empty-stringizing;

fLanguage

English

Publisher

ieee

Conference_Titel

Soft Computing and Intelligent Systems (SCIS), 2014 Joint 7th International Conference on and Advanced Intelligent Systems (ISIS), 15th International Symposium on

Type

conf

DOI

10.1109/SCIS-ISIS.2014.7044893

Filename

7044893