Research ArticleOpen accessPhrase in the titleSmooth Neighborhood Structures in a Smooth Topological SpacesA. A. Ramadan, M. A. Abdel-SattarProblem Statement: Various concepts related to a smooth topological spaces have been introduced and relations among them studied by several authors (Chattopadhyay, Ramadan, etc). Conclusion/Recommendations: In this study, we presented the notions of three sorts of neighborhood structures of a smooth topological spaces and give some of their properties which are results by Ying extended to smooth topological spaces. …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 9 Nov 2010 · 6,996 accessesView PDFCite
Research ArticleOpen accessIn the keywordsTopologies Induced by Relations with ApplicationsA. S. SalamaTopological structures induced by relations represents the process of extracting interesting decision rules from data. The attributes reduction and the calculation of core are the essentials to extract the decision rules. Finding the reducts, core and decision rules topologically is a new mathematical tool for discovering attribute dependencies in information systems. Problem statement: These mathematical tools employ some concepts from … …Journal of Computer Science, Vol. 4, Issue 10 · 31 Oct 2008 · 7,212 accessesView PDFCite
Research ArticleOpen accessIn the keywordsCovering Approximations Approach to Interval Ordered Information SystemsNadia El Mokhtar Gheith, Amgad A. SalamaIt is been proved that the theory of rough set is very beneficial in working with conflict problems induced by the information endearment The original idea of the rough set is not accurate, however, when preference orders of characteristics domains (standard) are to be considered. Seeking the issue of covering approximation relative to a control relation in interval-ordered information systems … …Journal of Computer Science, Vol. 19, Issue 2 · 26 Feb 2023 · 5,602 accessesView PDFCite
EditorialOpen accessIn the abstractThe Rough Intuitionistic Fuzzy Zweier Lacunary Ideal Convergence of Triple Sequence SpacesAyhan Esi, Nagarajan Subramanian, Vakeel Ahmad KhanWe introduced and studied the concept of I-convergence of triple sequences in metric spaces where I is an ideal. The concept of I-convergence has a wide application in the field of number theory, trigonometric series, summability theory, probability theory, optimization and approximation theory. In this article, we introduce rough intuitionistic fuzzy Lacunary ideal convergent of triple sequence spaces via zwier … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 31 May 2018 · 7,713 accessesView PDFCite
Research ArticleOpen accessIn the abstractGRAPH OF FINITE SEQUENCE OF FUZZY TOPOGRAPHIC TOPOLOGICAL MAPPING OF ORDER TWOMohamed Sayed, Tahir AhmadFuzzy Topographic Topological Mapping (FTTM) was built to solve the neuromagnetic inverse problem to determine the location of epileptic foci in epilepsy disorder patient. The model which consists of topological and fuzzy structures is composed into three mathematical algorithms. FTTM consists of four topological spaces and connected by three homeomorphisms. FTTM version 1 is also homeomorphic to FTTM version 2. … …Journal of Mathematics and Statistics, Vol. 9, Issue 1 · 15 Mar 2013 · 7,455 accessesView PDFCite
Research ArticleOpen accessIn the abstractGeneralized Finite Sequence of Fuzzy Topographic Topological MappingTahir Ahmad, Siti Suhana Jamian, Jamalludin TalibProblem statement: Fuzzy Topographic Topological Mapping (FTTM) was developed to solve the neuromagnetic inverse problem. FTTM consisted of four topological spaces and connected by three homeomorphisms. FTTM 1 and FTTM 2 were developed to present 3-D view of an unbounded single current source and bounded multicurrent sources, respectively. FTTM 1 and FTTM 2 were homeomorphic and this homeomorphism will generate … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,917 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordMeasures on the Quotient Spaces of the IntegersNorris Sookoo, Peter ChamiSK-partitions were introduced by Sharma and Kaushik, who defined distances (metrics) between vectors in terms of partitions of the alphabet set Fq , the set of the ring of integers modulo q. These distances were applied in Coding Theory. The research examined algebraic and topological aspects of SK-partitions and related sets of measures. A lattice of SK-partitions was introduced and … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 7,009 accessesView PDFCite