توجه: محتویات این صفحه به صورت خودکار پردازش شده و مقاله‌های نویسندگانی با تشابه اسمی، همگی در بخش یکسان نمایش داده می‌شوند.
۱representation theorems of $L–$subsets and $L–$families on complete residuated lattice
نویسنده(ها): ،
اطلاعات انتشار: Iranian journal of fuzzy systems، دهم،شماره۳(پياپي ۳۲)، Jun ۲۰۱۳، سال
تعداد صفحات: ۱۲
In this paper, our purpose is twofold. Firstly, the tensor and residuum operations on $L–$nested systems are introduced under the condition of complete residuated lattice. Then we show that $L–$nested systems form a complete residuated lattice, which is precisely the classical isomorphic object of complete residuated power set lattice. Thus the new representation theorem of $L–$subsets on complete residuated lattice is obtained. Secondly, we introduce the concepts of $L–$family and the system of $L–$subsets, then with the tool of the system of $L–$subsets, we obtain the representation theorem of intersection–preserving $L–$families on complete residuated lattice.
نمایش نتایج ۱ تا ۱ از میان ۱ نتیجه