Article
Computer Science, Artificial Intelligence
Zhaohao Wang
Summary: This paper investigates the fuzzy rough set model based on triangular norms and fuzzy implications. General conclusions about fuzzy upper approximation operators are obtained by removing the condition of the continuity of triangular norms. The characterization of the fuzzy neighborhood and the fuzzy lower approximation operator based on fuzzy implications are also studied. Furthermore, the relationships between fuzzy rough sets and fuzzy topology are established.
COMPLEX & INTELLIGENT SYSTEMS
(2023)
Article
Mathematics
Krassimir Atanassov, Evgeniy Marinov
Summary: This paper defines four distances for Circular Intuitionistic Fuzzy Sets (C-IFSs) for the first time, showing that they are different from those for standard IFSs and lack analogues in fuzzy sets theory. Examples comparing the proposed distances are given, and some ideas for further research are formulated.
Article
Computer Science, Artificial Intelligence
Lingyu Meng, Liangqun Li
Summary: Hesitant fuzzy set is an important tool for decision making, but the existing improved fuzzy sets cannot effectively capture decision makers' attitude characteristics on time-sequences. To address this issue, we introduce a new type of fuzzy set called time-sequential hesitant fuzzy set, along with its corresponding operators, score function, and distance measures. By comprehensively utilizing these tools, we propose a synthetic decision model.
COMPLEX & INTELLIGENT SYSTEMS
(2022)
Article
Computer Science, Interdisciplinary Applications
Sandeepan Roy, Avijit Maji
Summary: This study proposes a low-discrepancy point sampling-based modified ant colony optimization algorithm to optimize the horizontal alignment of high-speed railway (HSR) lines, including noise and vibration reduction. It effectively addresses the complexities of HSR alignment development by avoiding restricted land and satisfying geometric design constraints.
COMPUTER-AIDED CIVIL AND INFRASTRUCTURE ENGINEERING
(2022)
Article
Mathematics
Krassimir Atanassov
Summary: This article introduces the concept and basic properties of Intuitionistic Fuzzy Modal Topological Structure (IFMTS), discusses the importance of the intuitionistic fuzzy modal and topological operators, and formulates ideas for the future development of IFMT theory.
Article
Computer Science, Artificial Intelligence
Paul Augustine Ejegwa, Yuming Feng, Shuyu Tang, Johnson Mobolaji Agbetayo, Xiangguang Dai
Summary: Pythagorean fuzzy set is a broader concept with higher application prospects compared to IFS. This paper proposes a new distance measure method under Pythagorean fuzzy environment, which outperforms existing measures in terms of performance indexes. The proposed method takes into account the three parameters of PFSs and avoids error due to exclusion. The applications in pattern classification and disease diagnosis demonstrate the superiority of the proposed Pythagorean fuzzy distance measures.
NEURAL COMPUTING & APPLICATIONS
(2023)
Article
Mathematics
Olga Grigorenko, Alexander Sostak
Summary: We propose an alternative approach to the fuzzy metric concept by extending a crisp metric using a fuzzy equivalence relation. We call this extended metric an E-d metric and explore its properties and relationships with classical fuzzy metrics. Specifically, we focus on the topologies and fuzzy topologies induced by E-d metrics.
Article
Mathematics, Applied
Rui Gao, Jianrong Wu
Summary: This paper introduces the convergence of a fuzzy soft filter using Q-neighborhoods and explores the relationship between fuzzy soft nets and fuzzy soft filters. Additionally, fuzzy soft filters are utilized to characterize fundamental concepts of a fuzzy soft topological space such as open sets, closure, T-2 separation, and continuity.
Article
Computer Science, Artificial Intelligence
Gergely Kovacs, Benedek Nagy, Neset Deniz Turgay
Summary: The Cairo pattern is a dual of a semiregular tiling of the plane, with identical pentagon cells in four orientations. This paper introduces a coordinate system, neighborhood relation, and path distance formula for the grid, focusing on the steps between neighbor pentagons.
PATTERN RECOGNITION LETTERS
(2021)
Article
Mathematics, Applied
Muhammad Saqlain, Muhammad Riaz, Raiha Imran, Fahd Jarad
Summary: Decision-making in vague and imprecise environments is a crucial issue. This article proposes a method that combines intuitionistic fuzzy sets with hypersoft sets to address multi-attributive decision-making problems. The study develops similarity and distance measures, proves new results and theorems, and discusses a real-life problem.
Article
Materials Science, Multidisciplinary
Hao Deng, Albert C. To
Summary: A projection-based implicit modeling method (PIMM) for functionally graded lattice optimization is proposed in this study, eliminating the need for homogenization techniques. The method uses a parametric projection function to link the implicit function of functionally graded lattice with the finite element background mesh, utilizing radial basis function to interpolate the design field. The flexibility of the PIMM method allows for potential extension to design graded irregular porous scaffold and non-periodic lattice infill designs.
Article
Physics, Multidisciplinary
Saba Ayub, Muhammad Shabir, Rizwan Gul
Summary: The theories of rough set and fuzzy set are applied to handle uncertainty in data analysis. A new approach to decision-making, called Linear Diophantine fuzzy set, is introduced, and its structural properties are explored. The connection between Linear Diophantine fuzzy set and fuzzy topology is established, and the similarity relations among Linear Diophantine fuzzy sets are studied. A decision-making approach based on Linear Diophantine fuzzy set is proposed, and a numerical example is provided for comparison with existing techniques.
Article
Computer Science, Artificial Intelligence
Hongwu Qin, Yanan Wang, Xiuqin Ma, Jin Wang, Chen Jiang
Summary: Parameter reduction is crucial for enhancing the effectiveness of decision-making in interval-valued fuzzy soft set theory. Existing literature has severe gaps in terms of high computational complexity and low success rate. This study introduces the mean degree of membership and Euclidean distance between parameters, and proposes a new Euclidean Distance-based parameter reduction algorithm. Through comparison with existing algorithms, it is shown that the proposed method has lower computational complexity and higher success rate, making it a good solution for parameter reduction in interval-valued fuzzy soft sets.
EXPERT SYSTEMS WITH APPLICATIONS
(2023)
Article
Mathematics
Ronald Manriquez
Summary: This paper addresses some metric relations in fuzzy geometry, providing a version of the Pythagorean theorem and geometric mean theorem in fuzzy right triangles. The main results show a subset relation between fuzzy distances associated with fuzzy right triangles under certain conditions.
Article
Computer Science, Theory & Methods
Mustafa Demirci
Summary: The main focus of this study is the investigation of many valued topologies on L-sets, which provide a common framework for fuzzy topologies on fuzzy sets and fixed-basis lattice-valued topologies on ordinary sets. By introducing many valued topological L-set-spaces and validating their axiomatization within a categorical framework, we establish a connection with the theory of topological space objects formulated in terms of a partially ordered monad.
FUZZY SETS AND SYSTEMS
(2022)
Article
Computer Science, Interdisciplinary Applications
Syed Ahmed Nadeem, Eric A. Hoffman, Jessica C. Sieren, Alejandro P. Comellas, Surya P. Bhatt, Igor Z. Barjaktarevic, Fereidoun Abtin, Punam K. Saha
Summary: This study introduces a novel approach for automated segmentation of pulmonary airway trees to explore COPD sub-phenotypes, assess disease progression, and intervention outcomes. Both CT intensity- and deep learning-based algorithms show high reproducibility and accuracy, with the deep learning-based FG algorithm being a promising option for large multi-site studies.
IEEE TRANSACTIONS ON MEDICAL IMAGING
(2021)
Article
Endocrinology & Metabolism
M. E. Holman, G. Chang, M. P. Ghatas, P. K. Saha, X. Zhang, M. R. Khan, A. P. Sima, R. A. Adler, A. S. Gorgey
Summary: The study showed that the combined intervention of TT + RT may help slow down bone loss following SCI over a longer period, suggesting it could be a valuable rehabilitation technique for individuals with spinal cord injury.
OSTEOPOROSIS INTERNATIONAL
(2021)
Article
Endocrinology & Metabolism
Punam K. Saha, Reem Reda Oweis, Xiaoliu Zhang, Elena Letuchy, Julie M. Eichenberger-Gilmore, Trudy L. Burns, John J. Warren, Kathleen F. Janz, James C. Torner, Linda G. Snetselaar, Steven M. Levy
Summary: This study aimed to investigate the effects of period-specific and cumulative fluoride intake on bone microstructural outcomes in early adulthood. The results showed that there were no significant associations between fluoride intake and bone microstructural outcomes at age 19, indicating weak or absent effects of fluoride intake on bone structures during early adulthood.
Article
Critical Care Medicine
Stefanie E. Mason, Rafael Moreta-Martinez, Wassim W. Labaki, Matthew J. Strand, Elizabeth A. Regan, Jessica Bon, Ruben San Jose Estepar, Richard Casaburi, Merry-Lynn McDonald, Harry B. Rossiter, Barry Make, Mark T. Dransfield, MeiLan K. Han, Kendra Young, Jeffrey L. Curtis, Kathleen Stringer, Greg Kinney, John E. Hokanson, Raul San Jose Estepar, George R. Washko
Summary: The longitudinal loss of fat-free mass (FFM) is associated with increased all-cause mortality, regardless of initial body composition metrics, including BMI or muscle mass. This finding may improve risk stratification and identify novel therapeutic targets for patients with chronic obstructive pulmonary disease.
Article
Computer Science, Interdisciplinary Applications
Nirmal Das, Ewa Baczynska, Monika Bijata, Blazej Ruszczycki, Andre Zeug, Dariusz Plewczynski, Punam Kumar Saha, Evgeni Ponimaskin, Jakub Wlodarczyk, Subhadip Basu
Summary: Segmentation and analysis of dendritic spine morphology face challenges in individual spine segmentation and quantitative assessment of spine morphology. We developed 3dSpAn software based on the 3D multi-scale opening algorithm, with four modules for preprocessing, segmentation, and feature extraction. Results show usability across different observation methods, reproducibility, and accuracy, with the software freely available for non-commercial use.
Article
Radiology, Nuclear Medicine & Medical Imaging
Indranil Guha, Xiaoliu Zhang, Chamith S. Rajapakse, Gregory Chang, Punam K. Saha
Summary: This study validates an application of voxel-based continuum finite element analysis (FEA) in predicting trabecular bone (Tb) modulus from clinical CT imaging. The results show that this method can accurately predict Tb modulus and has high repeatability.
Correction
Computer Science, Interdisciplinary Applications
Nirmal Das, Ewa Baczynska, Monika Bijata, Blazej Ruszczycki, Andre Zeug, Dariusz Plewczynski, Punam Kumar Saha, Evgeni Ponimaskin, Jakub Wlodarczyk, Subhadip Basu
Article
Radiology, Nuclear Medicine & Medical Imaging
Syed Ahmed Nadeem, Alejandro P. Comellas, Eric A. Hoffman, Punam K. Saha
Summary: The purpose of this study was to validate and present a fully automated airway detection method at low-dose CT in patients with chronic obstructive pulmonary disease (COPD). The study optimized deep learning (DL) and freeze-and-grow (FG) methods for automatic detection of airways. The results showed that the automated low-dose CT method outperformed the semi-automated method at standard-dose CT in terms of detecting airway phenotypes.
RADIOLOGY-CARDIOTHORACIC IMAGING
(2022)
Proceedings Paper
Computer Science, Interdisciplinary Applications
Indra Narayan Dutta, Syed Ahmed Nadeem, Alejandro P. Comellas, Eric A. Hoffman, Punam K. Saha
Summary: Deterioration of the overall musculoskeletal system with aging is a universal phenomenon. In this study, a CT-based automated segmentation method using deep learning was developed to assess pectoral muscle health. The results showed that males had significantly greater pectoral muscle area than females, and muscle wasting increased with aging. CT-based automated segmentation methods are suitable for large population studies exploring broader scientific knowledge under various diseases.
MEDICAL IMAGING 2022: BIOMEDICAL APPLICATIONS IN MOLECULAR, STRUCTURAL, AND FUNCTIONAL IMAGING
(2022)
Proceedings Paper
Computer Science, Interdisciplinary Applications
Indranil Guha, Xiaoliu Zhang, Punam K. Saha
Summary: Nonlinear FEA method for computing trabecular bone shear modulus using clinical CT imaging was developed and validated. The method showed highly reproducible shear modulus values with high linear correlation to micro-CT-derived reference values. This approach broadens the scope of micro-mechanical analysis of trabecular bone network at relatively low in vivo resolution, without the need for binary segmentation of trabecular bone.
MEDICAL IMAGING 2022: BIOMEDICAL APPLICATIONS IN MOLECULAR, STRUCTURAL, AND FUNCTIONAL IMAGING
(2022)
Proceedings Paper
Computer Science, Interdisciplinary Applications
Syed Ahmed Nadeem, Alejandro P. Comellas, Indranil Guha, Elizabeth A. Regan, Eric A. Hoffman, Punam K. Saha
Summary: Spinal degeneration and vertebral fractures are common among the elderly and have significant impacts on various health indicators. This study presents an automated method for segmenting individual vertebrae and calculating the kyphotic angle of the spine from chest CT images. The method achieves high accuracy and consistency compared to manual segmentation and measurement.
MEDICAL IMAGING 2022: BIOMEDICAL APPLICATIONS IN MOLECULAR, STRUCTURAL, AND FUNCTIONAL IMAGING
(2022)
Article
Endocrinology & Metabolism
Indranil Guha, Xialiou Zhang, Chamith S. Rajapakse, Elena M. Letuchy, Gregory Chang, Kathleen F. Janz, James C. Torner, Steven M. Levy, Punam K. Saha
Summary: This study presents a nonlinear finite element analysis method for distal tibia CT scans, which allows for assessment of trabecular bone microstructural stiffness without binary segmentation and accounts for bone microstructural distribution. The method provides an effective surrogate measure of trabecular bone microstructural stiffness and expands the scope for finite element analysis in low-resolution in vivo imaging.
Proceedings Paper
Engineering, Biomedical
Syed Ahmed Nadeem, Alejandro P. Comellas, Eric A. Hoffman, Punam K. Saha
Summary: Chronic obstructive pulmonary disease (COPD) is a common inflammatory disease affecting over 300 million people worldwide, with CT being a standard tool for assessing airway and parenchymal physiology and function. Recently, deep learning methods have shown promise in medical image segmentation, but their generalizability remains a challenge in multi-center CT studies.
MEDICAL IMAGING 2021: IMAGE PROCESSING
(2021)
Proceedings Paper
Engineering, Biomedical
Syed Ahmed Nadeem, Eric A. Hoffman, Alejandro P. Comellas, Punam K. Saha
Summary: This paper presents an algorithm for anatomical labeling of human airway tree branches using a novel two-step machine learning and hierarchical features. The method achieved high labeling accuracies in different lung lobes and for clinically significant segmental branches, providing a standardized spatial referencing of airway phenotypes in large population-based studies.
MEDICAL IMAGING 2020: IMAGE PROCESSING
(2021)
Proceedings Paper
Engineering, Biomedical
Xiaoliu Zhang, Elena M. Letuchy, Steven M. Levy, James C. Torner, Punam K. Saha
Summary: Osteoporosis is a common age-related disease characterized by reduced bone mineral density and micro-structural deterioration, with bone micro-structural properties playing a significant role in determining bone strength and fracture-risk. A new clinical CT method for characterizing transverse and longitudinal trabeculae was introduced and validated in human studies, revealing associations with gender and body size. Results showed reproducibility of trabecular measures and significant differences between males and females in trabecular bone values, with correlations to body weight and height varying between genders.
MEDICAL IMAGING 2020: BIOMEDICAL APPLICATIONS IN MOLECULAR, STRUCTURAL, AND FUNCTIONAL IMAGING
(2021)
