Some algebraic properties of weakly non-interactive fuzzy numbers

This study focuses on the concept of sup-(t-norm) convulution, a generalized version of Zadeh's extension principle. The authors treat the algebraic structure of fuzzy arithmetic based on the sup-(t-norm) convolution, and especially show some new properties comparing them with those of the conv...

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Bibliographic Details
Published in:Fuzzy sets and systems 1994-12, Vol.68 (3), p.281-291
Main Authors: F. Kawaguchi, Mayuka, Da-te, Tsutomu
Format: Article
Language:English
Subjects:
Algebra
Fuzzy arithmetic
Fuzzy numbers
sup-(t-norm) convolution
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Summary:This study focuses on the concept of sup-(t-norm) convulution, a generalized version of Zadeh's extension principle. The authors treat the algebraic structure of fuzzy arithmetic based on the sup-(t-norm) convolution, and especially show some new properties comparing them with those of the conventional fuzzy arithmetic based on sup-min convolution.
ISSN:0165-0114
1872-6801
DOI:10.1016/0165-0114(94)90184-8