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A new operation on soft sets: extended symmetric difference of soft sets [PDF]
Vojnotehnički Glasnik, 2021 Introduction/purpose: Molodtsov introduced the concept of soft sets as a new mathematical tool for dealing with problems containing uncertainties.
Nenad S. Stojanović
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An Existing Problem for Symmetric Design: Bruck Ryser Chowla Theorem
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 Symetric designs are interesting objects of combinatorics, and have some relations with coding theory, difference sets, geometry and finite group theory. They have applications on statistics and design experiments.
Emek Demirci Akarsu, Safiye Öztürk
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Almost Difference Sets From Singer Type Golomb Rulers
IEEE Access, 2022 Let $G$ be an additive group of order $v$ . A $k$ -element subset $D$ of $G$ is called a $(v, k, \lambda, t)$ -almost difference set if the expressions $g-h$ , for $g$ and $h$ in $D$ , represent $t$ of the non-identity elements in $G ...
David Fernando Daza Urbano +2 more
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Multivariate polynomial values in difference sets
Discrete Analysis, 2021 Multivariate polynomial values in difference sets, Discrete Analysis 2021:11, 46 pp. A well known theorem of Furstenberg and Sárközy states that every dense set of integers must contain two elements that differ by a perfect square.
John R. Doyle, Alex Rice
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Image Sharpening Detection Based on Difference Sets
IEEE Access, 2020 Image sharpening is one of the basic operations used to improve the visual effect of images. Image editing makes it impossible to confirm the authenticity of an image, and the purpose of image forensics is to detect whether an image has been artificially
Dongping Wang, Tiegang Gao, Yuan Zhang
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Almost Difference Set Pairs and Ideal Three-Level Correlation Binary Sequence Pairs
IEEE Access, 2020 Almost difference set pairs are used in cryptography and coding theory, and a majority of the acknowledged almost difference set pairs are constructed by Chinese remainder theorem, cyclotomy or interleaving.
Wei Zhao, Yue Wu, Yaya Zhang, Yanguo Jia
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Mathematics, 2021 Hypersoft set theory is an extension of soft set theory and is a new mathematical tool for dealing with fuzzy problems; however, it still suffers from the parametric tools’ inadequacies.
Sagvan Y. Musa, Baravan A. Asaad
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Some relations between the sets of f-statistically convergent difference sequences
Acta Scientiarum: Technology, 2023 In this study we establish the relations between the sets of difference sequences which are statistically convergent in connection with modulus functions.
Sarkawt Asaad +2 more
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Designs, Codes and Cryptography, 2023 A $(v,k,λ)$ difference set in a group $G$ of order $v$ is a subset $\{d_1, d_2, \ldots,d_k\}$ of $G$ such that $D=\sum d_i$ in the group ring $\mathbb{Z}[G]$ satisfies $$D D^{-1} = n + λG,$$ where $n=k-λ$. If $D=\sum s_i d_i$, where the $s_i \in \{ \pm 1\}$, satisfies the same equation, we will call it a signed difference set.
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