Research & Reviews: Discrete Mathematical Structures
Volume 9, Issue 3 (2022)
Published
Table of contents
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Achieving Multi-objectives Using a Single Neural Network
Abstract: Achieving multi-objectives using a single neural network is a research area that aims to develop techniques to optimize multiple objectives simultaneously using a single neural network. This approach can be applied in various fields, such as image and speech recognition, robotics, and natural language processing, to achieve better performance and reduce the complexity of the models. The key challenge in this area is to balance the trade-off between different objectives …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 3, 2022 · pp. 1–15 Read article
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A New Potential on b-Rectangular Metric Spaces
Abstract: As a generalization of rectangular metric space and b-metric space, the idea of b-rectangular metric space is introduced. An effort of this article is to identify some common fixed-point results in brectangular metric space for generalized almost contraction of two mapping. The obtained results expand and generalize some previously published data in the literature, and we provide some examples. In the line of present works as obtain results in this …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 3, 2022 · pp. 16–23 Read article
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Galois Theory and Ricci Flow Curvature Applications for Generating the Mandelbrot Set
Abstract: In this paper, an application of Galois theory is presented through Ricci flow curvature in Mandelbrot set. The Mandelbrot set is analyzed over Ricci flow equation for generating the fractal set simply. Although, the fractal set is generated as the points in the complex plane connected to the Julia set and approaches to infinity. This paper proposes an efficient method of fractal set generation based on onto-one correspondence between Ricci …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 3, 2022 · pp. 24–29 Read article
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Fuzzifying Topology Generated by Fuzzy Metric
Abstract: The purpose of this study is to present a new method to generate a fuzzifying topology with fuzzy metrics in Kramosil and Michalek sense. For this, with the help of fuzzy metric, we obtained parameter-dependent crisp topology bases and thus a family of topologies. This family consists of the level topologies of the fuzzifying topology to be generated. Then, we studied the continuity of transformations between generated fuzzifying topologies and …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 3, 2022 · pp. 30–38 Read article
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Evolutionary Perspective for Developing Beyond Abacus
Abstract: Currently, all over the world, teaching math means calculations, crunching numbers mentally, and solving huge number equations in the least time, and not. This research is based on bringing about a change in mathematics education by challenging the existing model of mathematics where being good at calculation or computation is treated as being good at math. In other words, mathematics is currently treated as merely a computational tool. We propose …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 3, 2022 · pp. 39–48 Read article