کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
391122 661345 2007 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Residuated lattices and lattice effect algebras
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Residuated lattices and lattice effect algebras
چکیده انگلیسی

Residuated lattices and lattice effect algebras arose in two rather different fields. In this paper, by introducing two partial operations in effect algebras, we investigate the mutual relationship between involutive residuated lattices and lattice effect algebras. We prove that a lattice effect algebra under certain conditions can be extended to an involutive residuated lattice and the latter with certain properties can be restricted to the former. Especially, an sufficient and necessary condition for an involutive residuated lattice to be a lattice effect algebra with the Riesz decomposition property is obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 158, Issue 8, 16 April 2007, Pages 904-914