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In this article, we combine the concept of a bipolar fuzzy set and a soft set. We introduce the notion of bipolar fuzzy soft set and study fundamental properties. We study basic operations on bipolar fuzzy soft set. We define exdended…

Artificial Intelligence · Computer Science 2014-03-10 Muhammad Aslam , Saleem Abdullah , Kifayat ullah

Simulations and bisimulations are well-established notions in crisp/fuzzy automata theory and are widely used to compare the behaviors of automata. Their main drawback is that they compare the behaviors of fuzzy automata in a crisp manner.…

Formal Languages and Automata Theory · Computer Science 2023-07-10 Linh Anh Nguyen , Ivana Micić , Stefan Stanimirović

Takagi-Sugeno-Kang (TSK) fuzzy systems are flexible and interpretable machine learning models; however, they may not be easily optimized when the data size is large, and/or the data dimensionality is high. This paper proposes a mini-batch…

Machine Learning · Computer Science 2020-12-04 Yuqi Cui , Jian Huang , Dongrui Wu

In data dominated systems and applications, a concept of representing words in a numerical format has gained a lot of attention. There are a few approaches used to generate such a representation. An interesting issue that should be…

Computation and Language · Computer Science 2020-12-08 Shahin Atakishiyev , Marek Z. Reformat

A key task in the field of modeling and analyzing nonlinear dynamical systems is the recovery of unknown governing equations from measurement data only. There is a wide range of application areas for this important instance of system…

Dynamical Systems · Mathematics 2019-04-11 Patrick Gelß , Stefan Klus , Jens Eisert , Christof Schütte

We extend the external memory BDD package Adiar with support for monotone variable substitution. Doing so, it now supports the relational product operation at the heart of symbolic model checking. We also identify additional avenues for…

Data Structures and Algorithms · Computer Science 2025-05-19 Steffan Christ Sølvsten , Jaco van de Pol

Modern computing systems are capable of exascale calculations, which are revolutionizing the development and application of high-fidelity numerical models in computational science and engineering. While these systems continue to grow in…

Optimization and Control · Mathematics 2024-10-11 Graham Harper , Denis Ridzal , Tim Wildey

Linear-response time-dependent Density Functional Theory (LR-TDDFT) is a widely used method for accurately predicting the excited-state properties of physical systems. Previous works have attempted to accelerate LR-TDDFT using heterogeneous…

Hardware Architecture · Computer Science 2025-04-07 Qingcai Jiang , Buxin Tu , Xiaoyu Hao , Junshi Chen , Hong An

The suffix array is an efficient data structure for in-memory pattern search. Suffix arrays can also be used for external-memory pattern search, via two-level structures that use an internal index to identify the correct block of suffix…

Data Structures and Algorithms · Computer Science 2013-03-27 Simon Gog , Alistair Moffat , J. Shane Culpepper , Andrew Turpin , Anthony Wirth

Embedding models have become essential tools in both natural language processing and computer vision, enabling efficient semantic search, recommendation, clustering, and more. However, the high memory and computational demands of…

Computation and Language · Computer Science 2024-11-26 Jiayi Chen , Chen Wu , Shaoqun Zhang , Nan Li , Liangjie Zhang , Qi Zhang

Large statically indeterminate truss and frame structures exhibit complex load-bearing behavior, and redundancy matrices are helpful for their analysis and design. Depending on the task, the full redundancy matrix or only its diagonal…

Computational Engineering, Finance, and Science · Computer Science 2024-02-14 Anton Tkachuk , Tim Krake , Jan Gade , Malte von Scheven

We propose MUltiway Dynamic Dense (MUDD) connections, a simple yet effective method to address the limitations of residual connections and enhance cross-layer information flow in Transformers. Unlike existing dense connection approaches…

Machine Learning · Computer Science 2025-05-29 Da Xiao , Qingye Meng , Shengping Li , Xingyuan Yuan

Distributionally robust optimization tackles out-of-sample issues like overfitting and distribution shifts by adopting an adversarial approach over a range of possible data distributions, known as the ambiguity set. To balance conservatism…

Machine Learning · Computer Science 2025-10-02 Ahmad-Reza Ehyaei , Golnoosh Farnadi , Samira Samadi

Over the past decade, decision diagrams (DDs) have been used to model and solve integer programming and combinatorial optimization problems. Despite successful performance of DDs in solving various discrete optimization problems, their…

Optimization and Control · Mathematics 2024-03-27 Hosseinali Salemi , Danial Davarnia

New types of systems of fuzzy relation inequalities and equations, called weakly linear, have been recently introduced in [J. Ignjatovi\'c, M. \'Ciri\'c, S. Bogdanovi\'c, On the greatest solutions to weakly linear systems of fuzzy relation…

In Internet of things (IoT), data is continuously recorded from different data sources and devices can suffer faults in their embedded electronics, thus leading to a high-dimensional data sets and concept drift events. Therefore, methods…

Machine Learning · Computer Science 2021-07-22 Hugo Vinicius Bitencourt , Frederico Gadelha Guimarães

Data structures used in software development have inbuilt redundancy to improve software reliability and to speed up performance. Examples include a Doubly Linked List which allows a faster deletion due to the presence of the previous…

Databases · Computer Science 2025-08-05 Pratyush Mahapatra , Mark D. Hill , Michael M. Swift

Pandora temporal fault tree, as one notable extension of the fault tree, introduces temporal gates and temporal laws. Pandora Temporal Fault Tree(TFT) enhances the capability of fault trees and enables the modeling of system failure…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Hitesh Khungla , Mohit Kumar

Sentential decision diagrams (SDDs) introduced by Darwiche in 2011 are a promising representation type used in knowledge compilation. The relative succinctness of representation types is an important subject in this area. The aim of the…

Computational Complexity · Computer Science 2018-02-14 Beate Bollig , Matthias Buttkus

The Fuzzy transform is ubiquitous in different research fields and applications, such as image and data compression, data mining, knowledge discovery, and the analysis of linguistic expressions. As a generalisation of the Fuzzy transform,…

Optimization and Control · Mathematics 2020-07-28 Giuseppe Patanè
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