کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
391136 661348 2007 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A unifying study between modal-like operators, topologies and fuzzy sets
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
A unifying study between modal-like operators, topologies and fuzzy sets
چکیده انگلیسی

The paper presents the essential connections between modal-like operators, topologies and fuzzy sets. We show, for example, that each fuzzy set determines a preorder and an Alexandrov topology, and that similar correspondences hold also for the other direction. Further, a category for preorder-based fuzzy sets is defined, and it is shown that its equivalent subcategory of representatives is isomorphic to the categories of preordered sets and Alexandrov spaces. Moreover, joins, meets and complements for the objects in this category of representatives are determined. This suggests how to define for fuzzy subsets of a certain universe the lattice operations in a canonical way.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 158, Issue 11, 1 June 2007, Pages 1217-1225