APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
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New Characterization Of (1,2)S_P-Kernel In Bitopological Spaces
Full text linkIn this paper, the concept of (1,2)S_p-Kernal in bitopological spaces is introduced. Also the closure and kernel are defined in terms of (1,2)S_p-separation using (1,2)S_p-open sets in bitopological spaces and some of its properties are studied
Solving Fully Fuzzy Linear Systems with Triangular and Pentagonal Fuzzy Numbers
Full text linkIn this paper algorithms are proposed to solve fully fuzzy linear system (FFLS) using triangular fuzzy number and pentagonal fuzzy number by converting the system into block system of linear equations known as associated fuzzy system. The method is illustrated by numerical examples
Some New θ-I-Locally Closed sets with Respect to an Ideal Topological Spaces
Full text linkIn this paper, we introduce the new notions called \breve{\mathbit{\theta}}-\mathbf{I}-locally closed sets, \breve{\mathbit{\theta}}-\mathbf{I}-locally closed sets and \breve{\mathbit{\theta}}-\mathbf{I}-closed functions and investigated their properties and also we have studied their relations to the other types of locally closed sets with suitable examples. Finally we introduce the notion \breve{\mathbit{\theta}}-\mathbf{I}-submaximal spaces and also investigated the properties with examples
Moduli of continuity of functions in Holder’s class by First kind Chebyshev Wavelets and Its Applications in the Solution of Lane-Emden Differential Equations
No full textIn this paper , two new moduli of continuityand two estimators E2k−1,0 and,E2k−1,M of a functions f in H¨older’s class Hα,2ωk [0, 1) by First kind Chebyshev Wavelets have been determined. These moduli of continuity and estimators are new and best possible in wavelet analysis. Applying this technique ,Lane -Emden differential equations have been solved by first kind Chebyshev wavelet method.These solutions obtained by first kind Chebyshev wavelet method are approximately coincided with their exact solutions. This is a significant achievement of this research paper in wavelet analysis
Weak and weak*I^K-convergence in normed spaces
Full text linkThe main object of this paper is to study the concept of weak -convergence, a generalization of weak -convergence of sequences in a normed space, introducing the idea of weak* -convergence of sequences of functionals where are two ideals on , the set of all positive integers. Also we have studied the ideas of weak and weak* -limit points to investigate the properties in the same space
Amalgamated rings with m-nil clean properties
Full text linkIn this paper, we study the transfer of the notion of -nil clean (i.e., a ring in which every element is a sum of a nilpotent and an -potent elements) to the amalgamarted rings. We also find many sufficient and necessary conditions for the -nil clean property to the amalgamated rings
Transversal Core of Intuitionistic Fuzzy k-Partite Hypergraphs
Full text linkIn graph theory, a transversal is a set of vertices incident to every edgein a graph but in Intuitionistic Fuzzy k-Partite Hypergraph(IFk-PHG),the transversal is a hyperedge which cuts every hyperedges. In thisarticle, Intuitionistic Fuzzy Transversal(IFT), minimal IFT, locallyminimal IFT, IFTC(Intuitionistic Fuzzy Transversal Core) of IFk-PHG has been defined. It has been proved that every IFk-PHG hasa nonempty IFT. Also few of the properties relating to the transversalof IFk-PHG were discussed
Intuitionistic Robust Fuzzy Matrix for the Diagnosis of Stress, Anxiety and Hypertension
Full text linkThe mathematical model given here attempts to improve precisionin the diagnosis of stress, anxiety, and hypertension using Intuitionisticrobust fuzzy matrix (IRFM). In practice, the imprecise natureof medical documentation and the uncertainty of patient informationfrequently do not provide the appropriate level of confidence in thediagnosis. To that purpose, a novel method based on distinct fuzzymatrices and fuzzy relations is devised, which makes use of the capabilitiesof fuzzy logic in describing, understanding, and exploitingfacts and information that are unclear and lack clarity. With the assistanceof 30 doctors, a medical knowledge base is created during theprocedure. The model obtained 95.55%t accuracy in the diagnosis,demonstrating its utility
Some Coupled Fixed Point Theorems in Complete E−Fuzzy Metric Spaces
Full text linkIn this paper some coupled coincidence fixed point theorems are establishedfor the mappings under ϕ- contraction in complete generalizedE- fuzzy metric spaces. Also give an example to validate thetheorem and present an application of this theorem to integral equations
On Wijsman Strongly I2 - Lacunary Convergence of Double Sequences in Neutrosophic Metric Spaces
Full text linkThe concept of Wijsman I2- Statistical Convergence (WI2StC), Wi[1]jsman I2 - Lacunary Statistical Convergence (WI2LStC), Wijsman Strongly I2 - Lacunary Convergence (WSI2LC) and Wijsman Strongly I2 - Cesaro Convergence (WSI2CeC) of double sequences in the Neutrosophic Metric Spaces (NMS) are examined in this paper. Ad[1]ditionally, we introduce the concepts of Wijsman Strongly I ∗ 2 - La[1]cunary Convergence (WSI∗ 2LC), Wijsman Strongly I2- Lacunary Cauchy (WSI2LCa), and Wijsman Strongly I ∗ 2 - Lacunary Cauchy (WSI∗ 2LCa) sequence in NMS and establish impressive results