Paper:

# Fuzzy Multisets in Granular Hierarchical Structures Generated from Free Monoids

## Tetsuya Murai^{*1}, Sadaaki Miyamoto^{*2}, Masahiro Inuiguchi^{*3},

Yasuo Kudo^{*4}, and Seiki Akama^{*5}

^{*1}Graduate School of Information Science and Technologies, Hokkaido University, Kita 14, Nishi 9, Kita-ku, Sapporo, Hokkaido 060-0814, Japan

^{*2}Graduate School of Systems and Information Engineering, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8577, Japan

^{*3}Graduate School of Engineering Science, Osaka University, 1-3 Machikaneyama, Toyonaka, Osaka 560-8531, Japan

^{*4}Department of Computer Science and Systems Engineering, Muroran Institute of Technology, 27-1 Miumoto, Muroran, Hokkaido 050-8585, Japan

^{*5}C-Republic, 1-20-1 Higashi-Yurigaoka, Asoh-ku, Kawasaki, Kanagawa 215-0012, Japan

**N**, the set of natural numbers, whereas Miyamoto newly introduces an order generated from

*both*domain (0,1] and range

**N**through the notion of cuts.

*J. Adv. Comput. Intell. Intell. Inform.*, Vol.19 No.1, pp. 43-50, 2015.

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