Title :
Rough sets in crisp and fuzzy granular hierarchical structures
Author :
Tanaka, T. ; Murai, Takashi ; Kudo, Yasuo ; Akama, Seiki
Author_Institution :
Grad. Sch. of Inf. Sci. & Techlonogies, Hokkaido Univ., Sapporo, Japan
Abstract :
We proposed granular hierarchical structures generated from free monoids in order to provide a unified basis for various extended concepts of sets like multisets, fuzzy sets and others. In this paper, we examine rough fuzzy multisets, that is, the upper and lower approximation operators of fuzzy multisets in the framework of crisp and fuzzy granular hierarchical structures.
Keywords :
fuzzy set theory; rough set theory; approximation operators; crisp granular hierarchical structures; free monoids; fuzzy granular hierarchical structures; multisets; rough fuzzy multisets; rough sets; Approximation methods; Conferences; Educational institutions; Electronic mail; Fuzzy sets; Information science; Rough sets; Crisp and fuzzy granular hierarchical structures; Empty stringizing; Rough fuzzy multisets;
Conference_Titel :
Granular Computing (GrC), 2014 IEEE International Conference on
Conference_Location :
Noboribetsu
DOI :
10.1109/GRC.2014.6982851