Zagazig University Digital Repository
Home
Thesis & Publications
All Contents
Publications
Thesis
Graduation Projects
Research Area
Research Area Reports
Search by Research Area
Universities Thesis
ACADEMIC Links
ACADEMIC RESEARCH
Zagazig University Authors
Africa Research Statistics
Google Scholar
Research Gate
Researcher ID
CrossRef
PSEUDO-CLOSURE OPERATORS IN FUZZY NEIGHBORHOOD-BASE SPACES
Faculty
Not Specified
Year:
1992
Type of Publication:
Article
Pages:
109-116
Authors:
GHANIM, MH, MORSI, NN
DOI:
10.1016/0165-0114(92)90067-E
Journal:
FUZZY SETS AND SYSTEMS ELSEVIER SCIENCE BV
Volume:
47
Research Area:
Computer Science; Mathematics
ISSN
ISI:A1992HU55800014
Keywords :
FUZZY TOPOLOGICAL SPACE, LEVEL TOPOLOGIES, PSEUDO-CLOSURE OPERATOR, FUZZY NEIGHBORHOOD-BASE SPACE
Abstract:
Fuzzy neighbourhood-base spaces and dual fuzzy neighbourhood spaces are two special types of fuzzy topological spaces. They were introduced by Morsi as useful tools for the theory, explanation and application of Lowen's fuzzy neighbourhood systems. The notion of the pseudo-closure operator of a fuzzy topological space was introduced by Mashhour et al. as a tool in establishing a necessary and sufficient condition for the productivity of fuzzy Kuratowski operators. Pseudo-closure operators carry partial information about the fuzzy closure operators of their respective spaces. We establish relationships between the pseudo-closure operators of fuzzy neighbourhood-base spaces, their fuzzy closure operators and their level topologies. We provide counterexamples to disprove other nonvalid relationships. We also study some categorical aspects of the operation of taking the pseudo-closure operators of fuzzy topological spaces.
Online
PDF
جامعة المنصورة
جامعة الاسكندرية
جامعة القاهرة
جامعة سوهاج
جامعة الفيوم
جامعة بنها
جامعة دمياط
جامعة بورسعيد
جامعة حلوان
جامعة السويس
شراقوة
جامعة المنيا
جامعة دمنهور
جامعة المنوفية
جامعة أسوان
جامعة جنوب الوادى
جامعة قناة السويس
جامعة عين شمس
جامعة أسيوط
جامعة كفر الشيخ
جامعة السادات
جامعة طنطا
جامعة بنى سويف