FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 3, PAGES 141-146

Fuzzy modules with respect to t-norm and some of their properties

S. G. Pushkov

Abstract

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We introduce the concept of fuzzy submodule over a commutative ring with respect to a $t$-norm. Some properties of fuzzy submodules are investigated. In particular, we consider properties of intersection and direct product for fuzzy submodules.

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Last modified: June 19, 2007