کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
389848 | 661184 | 2011 | 14 صفحه PDF | دانلود رایگان |
This paper is concerned with the interaction between the logic features of the table of truth values and categorical properties of L-topological spaces and L-co-topological spaces. On one hand, it is shown that for each unital quantale L, the category of Alexandroff strong L-co-topological spaces is the coreflective hull of finite strong L-co-topological spaces. On the other hand, in the case that the quantale L is the unit interval [0,1] equipped with a continuous t-norm, it is shown that the category of Alexandroff strong [0,1]-topological spaces is the coreflective hull of finite strong [0,1]-topological spaces if and only if the continuous t-norm is an ordinal sum of the Łukasiewicz t-norm whose set of idempotent elements is a well-ordered subset of [0,1] under the usual order.
Journal: Fuzzy Sets and Systems - Volume 182, Issue 1, 1 November 2011, Pages 79-92