Research & Reviews: Discrete Mathematical Structures
Volume 9, Issue 2 (2022)
Published
Table of contents
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A New Approach to Hypersoft Sets and their Application in Decision Making
Abstract: An uncertainty based model, parallel to the soft set (SS) model introduced by Molodtsov, was proposed by Smarandache in the form of hypersoft sets (HSS). The basic characteristic of both these models is that these are parametrized family of sets which are induced by the parameters involved. However, Smarandache had left open the basic operation on HSS. In this paper, we first redefine HSS using the characteristic function based approach, …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 2, 2022 · pp. 1–10 Read article
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Hyperspaces and Superspaces: Linearity and Boundedness
Abstract: Continuing the previous research, we analyze constructions of hyperspaces and superspaces elaborating classifications of such spaces. The main emphasis is on linear hyperspaces, which are formed over linear spaces with additional structures such as norms and seminorms. Linear hyperspaces are constructed over multiseminormed linear spaces and their properties are studied. In particular, it is demonstrated that a linear hyperspace over a multiseminormed linear space is a multihyperseminormed linear space. This …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 2, 2022 · pp. 11–27 Read article
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Machine Learning for Solving Satisfiability Problems and Applications in Cryptanalysis
Abstract: Over the past two decades, we have seen sensational changes within the effectiveness of conflictbased Clause-Learning Boolean Fulfillment (CDCLSAT) solvers on mechanical issues from an assortment of areas. The accessibility of effective general-purpose look devices such as SAT Solver has driven numerous analysts to propose SAT-based strategies for cryptanalysis, such as identifying clashes in hash capacities and breaking symmetric encryption plans. Most of the as of now proposed SAT-based cryptanalysis …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 2, 2022 · pp. 28–37 Read article
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Novel Distance Measure for Linear Diophantine Fuzzy Sets
Abstract: Unlike other fuzzy set theories, the theory of Linear Diophantine fuzzy set (LDFS) aims to overcome uncertainties via the reference parameters. The Parameters provide flexibility and efficiency to LDFS in handling the uncertain data. In this study, we introduce new distance measure for linear Diophantine fuzzy sets. Then, we studied the properties of proposed distance measure. Finally, we established a new similarity measure for LDFSs based on distance measure.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 2, 2022 · pp. 38–45 Read article
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All-in-One Focus image using Guided Filters
Abstract: Machine Vision System plays a vital role in manufacturing industries for the automatic inspection of quality of the finished product. The success of machine vision system for real time application is purely depends on the response of the hardware system in capturing the image of the object and the image processing algorithm which is used to extract the features of the object from the captured image. For the extraction of …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 2, 2022 · pp. 46–53 Read article