Crisp and Fuzzy Granular Hierarchical Structures Generated from a Free Monoid

Tetsuya Murai; Sadaaki Miyamoto; Masahiro Inuiguchi; Yasuo Kudo; Seiki Akama

doi:10.20965/jaciii.2014.p0929

Abstract

The granular hierarchical structure that we propose has the limitation that the set of truth values is not described explicitly. By regarding “sets of putting” as a special class of direct sets, we introduce crisp and fuzzy granular hierarchical structures. We found that there are two kinds of different preextensions between Yager’s fuzzy multisets and Zadeh’s fuzzy sets.

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