Crisp and Fuzzy Granular Hierarchical Structures Generated from a Free Monoid | Zendy

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

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Crisp and Fuzzy Granular Hierarchical Structures Generated from a Free Monoid

Author(s) -

Tetsuya Murai,

Sadaaki Miyamoto,

Masahiro Inuiguchi,

Yasuo Kudo,

Seiki Akama

Publication year - 2014

Publication title -

journal of advanced computational intelligence and intelligent informatics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.172

H-Index - 20

eISSN - 1343-0130

pISSN - 1883-8014

DOI - 10.20965/jaciii.2014.p0929

Subject(s) - granular computing , computer science , fuzzy logic , fuzzy set , class (philosophy) , set (abstract data type) , monoid , fuzzy set operations , artificial intelligence , rough set , theoretical computer science , algorithm , mathematics , discrete mathematics , programming language

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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