Structural topology in a category

	Structural topology in a category
Iranian Journal of Fuzzy Systems
مقاله 5، دوره 18، شماره 6، بهمن و اسفند 2021، صفحه 45-54 اصل مقاله (172.22 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2021.6332
نویسندگان
S. N. Hosseini^* ؛ R. Amini
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar Univercity of Kerman, Kerman, Iran
چکیده
Several fuzzy topologies are defined and studied by different authors. In this article, we unify five of the most common fuzzy topologies existing in the literature, as well as the standard topology. This is done by introducing the notion of structural topology on objects in a category and proving that topologies on a set as well as fuzzy topologies on fuzzy sets and fuzzy topologies on fuzzy subsets are all structural topologies. We also introduce the notion of structural continuity and we show that the fuzzy continuity defined in the literature in all the above mentioned cases, as well as the standard continuity are structural.
کلیدواژه‌ها
Topology؛ fuzzy topology؛ structural topology؛ continuity؛ fuzzy continuity؛ structural continuity

آمار تعداد مشاهده مقاله: 457 تعداد دریافت فایل اصل مقاله: 430

سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب