This article is cited in 8 papers

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

S. G. Pushkov

Biisk Technological Institute

Abstract: 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.

UDC: 512.553+512.715

Received: 01.05.2006

 English version: Journal of Mathematical Sciences (New York), 2008, 154:3, 374–378

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