کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6899019 701282 2016 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multiset proximity spaces
ترجمه فارسی عنوان
فضاهای مجاورت چندگانه
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی
A multiset is a collection of objects in which repetition of elements is essential. This paper is an attempt to explore the theoretical aspects of multiset by extending the notions of compact, proximity relation and proximal neighborhood to the multiset context. Examples of new multiset topologies, open multiset cover, compact multiset and many identities involving the concept of multiset have been introduced. Further, an integral examples of multiset proximity relations are obtained. A multiset topology induced by a multiset proximity relation on a multiset M has been presented. Also the concept of multiset δ- neighborhood in the multiset proximity space which furnishes an alternative approach to the study of multiset proximity spaces has been mentioned. Finally, some results on this new approach have been obtained and one of the most important results is: every T4- multiset space is semi-compatible with multiset proximity relation δ on M (Theorem 5.10).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Egyptian Mathematical Society - Volume 24, Issue 4, October 2016, Pages 562-567
نویسندگان
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