Results 11 to 20 of about 1,033,944 (257)
Applications of some modified open sets in r-neighbourhood spaces with ideals [PDF]
E3S Web of Conferences, 2023 The purpose of this paper is to introduce r-a-open sets, r-semi open sets and r-pre open sets in ideal r-neighbourhood space. We also discuss their properties, characterizations and relations with existing notions with suitable examples.
Tharmar S. +4 more
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Normed Space of Fuzzy Intervals and Its Topological Structure
Axioms, 2023 The space, Ƒcc(R), of all fuzzy intervals in R cannot form a vector space. However, the space Ƒcc(R) maintains a vector structure by treating the addition of fuzzy intervals as a vector addition and treating the scalar multiplication of fuzzy intervals ...
Hsien-Chung Wu
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On Hypersoft Semi-open Sets [PDF]
Neutrosophic Sets and Systems, 2023 A generalisation of soft sets called a hypersoft set incorporates a multiargument function. The major goal of this study is to provide appropriate examples for the introduction of hypersoft semi-open sets (SOS) and hypersoft semi-closed sets (SCS ...
V. Inthumathi +2 more
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Open-Set Adversarial Defense [PDF]
, 2020 Accepted by ECCV ...
Rui Shao 0001 +3 more
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Open set anomaly classification [PDF]
Proceedings of the 8th ACM International Conference on Systems for Energy-Efficient Buildings, Cities, and Transportation, 2021 Anomaly classification can provide a discrimination of the type of anomaly at hand, that can help the user to narrow down the search space during troubleshooting. A limitation of most machine learning (ML) classification models is being under the closed set assumption and thereby failing to recognize unknown data. Literature refers to this issue as the
Marcel Dix, Reuben Borrison
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Ratio Mathematica, 2022 This article elaborates about a novel approach on defining θ-open sets and some of its properties in N-topological space. We establish various continuous maps and discuss the relationship with θ-continuous maps using N-topology.
J Loyala Foresith Spencer +1 more
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CoRR, 2023 If G is a finite abstract simplicial complex and K is a subcomplex of G and U=G-K is the open complement of K in G, the Betti vectors of K and U and G satisfy the inequality b(G) less or equal b(K)+b(U).
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Nano βθ-Open Sets in Nano Topological Spaces
Tikrit Journal of Pure Science, 2023 This paper's primary objective is to present and study a different class of nano sets known as nano βθ-open sets in nano topological spaces. Additionally, introduced some nano topological concepts by using nano βθ-open set.
Rzgar U. Ahmad, Sami A. Hussein
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e#-open and *e-open sets via -open sets
Turkish Journal of Computer and Mathematics Education (TURCOMAT), 2021 The notion of -open sets in a topological space was studied by Velicko. Usha Parmeshwari et.al. and Indira et.al. introduced the concepts of b# and *b open sets respectively. Following this Ekici et. al. studied the notions of e-open and e-closed sets by mixing the closure, interior, -interior and -closure operators.
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Remarks on -open Sets and Minimal -Open Sets
International Journal of Engineering and Advanced Technology, 2019 Aim of this paper is to define -open sets in a topological space and obtain their basic properties. Also, we define minimal -open sets in a space and study the impact of two minimal -open sets in a space with -regular operation. However, the roll of minimal -open sets in -locally finite space has been discussed.
K. Poorani +2 more
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