کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
396083 666113 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On v-filters and normal v-filters of a residuated lattice with a weak vt-operator
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
On v-filters and normal v-filters of a residuated lattice with a weak vt-operator
چکیده انگلیسی

In this paper, we study further the filter theory of residuated lattices. First, we discuss the concepts of filters and normal filters of residuated lattices and propose some equivalent conditions for them. Then we introduce and investigate the notions of v-filter and normal v-filter of a residuated lattice with a weak vt-operator and lay bare the formulas for calculating the v-filters and the normal v-filters generated by subsets. Finally we show that the lattices of v-filters and normal v-filters of a residuated lattice with a vt-operator are both complete Brouwerian lattices.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Sciences - Volume 178, Issue 17, 1 September 2008, Pages 3465–3473
نویسندگان
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