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Articles 27541 - 27570 of 294554
Full-Text Articles in Physical Sciences and Mathematics
An Alternative Approach To Data Carving Portable Document Format (Pdf) Files, Kevin Hughes, Michael Black
An Alternative Approach To Data Carving Portable Document Format (Pdf) Files, Kevin Hughes, Michael Black
Journal of Cybersecurity Education, Research and Practice
Traditional data carving relies on the successful identification of headers and trailers, unique hexadecimal signatures which are exclusive to specific file types. This can present a challenge for digital forensics examiners when pitted against modern anti-forensics techniques. The interest of this study is file signature obfuscation, a technique which alters headers and trailers. This research will focus on the development of a new, proof-of-concept algorithm that analyzes content in segments based on unique elements found within the body of a file. The file type being targeted is the Portable Document Format (PDF) and this research is built upon previously successful …
Dft Based Modeling Of The Heavy Atom Effect In Triplet Photosensitizers: From Fundamental Mechanics To Rational Design, Bret Andrew Steinkamp
Dft Based Modeling Of The Heavy Atom Effect In Triplet Photosensitizers: From Fundamental Mechanics To Rational Design, Bret Andrew Steinkamp
Dissertations and Theses
Photochemistry is the study of how light interacts with molecules and includes both the absorption and release of light. This document focuses on triplet photosensitizers -- molecules that utilize the excited triplet state -- for a variety of applications including photodynamic therapy and photocatalysis. There are many factors that influence the design of triplet photosensitizers; in this work, we have developed and used a methodology for the rational design of triplet photosensitizers based on an approximation of the heavy atom effect (HAE) from density functional theory calculations and the experimentally measured singlet oxygen quantum yield (ФΔ).
As excited …
Sensitivity Of Ocean Circulation To Warming During The Early Eocene Greenhouse, Sandra Kirtland Turner, Andy Ridgwell, Allison L. Keller, Maximilian Vahlenkamp, Adam K. Aleksinski, Philip F. Sexton, Donald E. Penman, Pincelli M. Hull, Richard D. Norris
Sensitivity Of Ocean Circulation To Warming During The Early Eocene Greenhouse, Sandra Kirtland Turner, Andy Ridgwell, Allison L. Keller, Maximilian Vahlenkamp, Adam K. Aleksinski, Philip F. Sexton, Donald E. Penman, Pincelli M. Hull, Richard D. Norris
Geosciences Faculty Publications
Multiple abrupt warming events ("hyperthermals") punctuated the Early Eocene and were associated with deep-sea temperature increases of 2 to 4 °C, seafloor carbonate dissolution, and negative carbon isotope (δ13C) excursions. Whether hyperthermals were associated with changes in the global ocean overturning circulation is important for understanding their driving mechanisms and feedbacks and for gaining insight into the circulation's sensitivity to climatic warming. Here, we present high-resolution benthic foraminiferal stable isotope records (δ13C and δ18O) throughout the Early Eocene Climate Optimum (~53.26 to 49.14 Ma) from the deep equatorial and North Atlantic. Combined with existing …
06.03.2024 Orsp Connect, Liz Williamson
06.03.2024 Orsp Connect, Liz Williamson
ORED Newsletter
Center for Population Studies, NSF Postdoc Berg, Quinn Appointed to HEPAP, Smitherman migraine research
Single-Molecule Orientation Imaging Reveals The Nano-Architecture Of Amyloid Fibrils Undergoing Growth And Decay, Brian Sun, Tianben Ding, Weiyan Zhou, Tara S. Porter, Matthew D. Lew
Single-Molecule Orientation Imaging Reveals The Nano-Architecture Of Amyloid Fibrils Undergoing Growth And Decay, Brian Sun, Tianben Ding, Weiyan Zhou, Tara S. Porter, Matthew D. Lew
Electrical & Systems Engineering Publications and Presentations
Amyloid-beta (Aβ42) aggregates are characteristic Alzheimer’s disease signatures, but probing how their nanoscale architectures influence their growth and decay remains challenging using current technologies. Here, we apply time-lapse single-molecule orientation-localization microscopy (SMOLM) to measure the orientations and rotational “wobble” of Nile blue (NB) molecules transiently binding to Aβ42 fibrils. We correlate fibril architectures measured by SMOLM with their growth and decay over the course of 5 to 20 min visualized by single-molecule localization microscopy (SMLM). We discover that stable Aβ42 fibrils tend to be well-ordered and signified by well-aligned NB orientations and small wobble. SMOLM also shows that increasing order …
An In-Depth Analysis Of The Variable Cyclotron Lines In Gx 301−2, Nicolas Zalot, Ekaterina Sokolova-Lapa, Jakob Stierhof, Ralf Ballhausen, Aafia Zainab, Katja Pottschmidt, Felix Fürst, Philipp Thalhammer, Nazma Islam, Camille M. Diez, Peter Kretschmar, Katrin Berger, Richard Rothschild, Christian Malacaria, Pragati Pradhan, Jörn Wilms
An In-Depth Analysis Of The Variable Cyclotron Lines In Gx 301−2, Nicolas Zalot, Ekaterina Sokolova-Lapa, Jakob Stierhof, Ralf Ballhausen, Aafia Zainab, Katja Pottschmidt, Felix Fürst, Philipp Thalhammer, Nazma Islam, Camille M. Diez, Peter Kretschmar, Katrin Berger, Richard Rothschild, Christian Malacaria, Pragati Pradhan, Jörn Wilms
Publications
Context. The high-mass X-ray binary system GX 301−2 is a persistent source with a well-known variable cyclotron line centered at 35 keV. Recently, a second cyclotron line at 50 keV has been reported with a presumably different behavior than the 35 keV line. Aims. We investigate the presence of the newly discovered cyclotron line in the phase-averaged and phase-resolved spectra at higher luminosities than before. We further aim to determine the pulse-phase variability of both lines.
Methods. We analyze a NuSTAR observation of GX 301−2 covering the pre-periastron flare, where the source luminosity reached its peak of ∼4×1037 …
Assigning The Ch Stretch Overtone Spectrum Of Benzene And Naphthalene With Extension To Anthracene And Tetracene Using 2- And 3-Quanta Anharmonic Quantum Chemical Computations, Vincent J. Esposito, Ryan C. Fortenberry, Christiaan Boersma, Louis J. Allamandola
Assigning The Ch Stretch Overtone Spectrum Of Benzene And Naphthalene With Extension To Anthracene And Tetracene Using 2- And 3-Quanta Anharmonic Quantum Chemical Computations, Vincent J. Esposito, Ryan C. Fortenberry, Christiaan Boersma, Louis J. Allamandola
Biology, Chemistry, and Environmental Sciences Faculty Articles and Research
The CH stretch overtone region (5750–6300 cm−1) of benzene and naphthalene is assigned herein using anharmonic quantum chemical computations, and the trend of how this extends to larger polycyclic aromatic hydrocarbons (PAHs) is established. The assignment of all experimental bands to specific vibrational states is performed for the first time. Resonance polyads and the inclusion of 3-quanta vibrational states are both needed to compute accurate vibrational frequencies with the proper density-of-states to match the experimental band shape. Hundreds of 3-quanta states produce the observed band structure in naphthalene, anthracene, and tetracene, and this number is expected to increase …
Statistics For Anticyclotomic Iwasawa Invariants Of Elliptic Curves, Jeffrey Hatley, Debanjana Kundu, Anwesh Ray
Statistics For Anticyclotomic Iwasawa Invariants Of Elliptic Curves, Jeffrey Hatley, Debanjana Kundu, Anwesh Ray
School of Mathematical & Statistical Sciences Faculty Publications
We study the average behaviour of the Iwasawa invariants for Selmer groups of elliptic curves, considered over anticyclotomic Zp -extensions in both the definite and indefinite settings. The results in this paper lie at the intersection of arithmetic statistics and Iwasawa theory.
Semirecumbent Positioning During Anesthesia Recovery And Postoperative Hypoxemia: A Randomized Clinical Trial, Xinghe Wang, Kedi Guo, Jia Sun, Yuping Yang, Yan Wu, Xihui Tang, Yuqing Xu, Qingsong Chen, Si Zeng, Liwei Wang, Su Liu
Semirecumbent Positioning During Anesthesia Recovery And Postoperative Hypoxemia: A Randomized Clinical Trial, Xinghe Wang, Kedi Guo, Jia Sun, Yuping Yang, Yan Wu, Xihui Tang, Yuqing Xu, Qingsong Chen, Si Zeng, Liwei Wang, Su Liu
Faculty, Staff and Student Publications
IMPORTANCE: The efficacy of a semirecumbent position (SRP) in reducing postoperative hypoxemia during anesthesia emergence is unclear despite its widespread use.
OBJECTIVE: To determine the differences in postoperative hypoxemia between patients in an SRP and a supine position.
DESIGN, SETTING, AND PARTICIPANTS: This randomized clinical trial was performed at a tertiary hospital in China between March 20, 2021, and May 10, 2022. Patients scheduled to undergo laparoscopic upper abdominal surgery under general anesthesia were enrolled. Study recruitment and follow-up are complete.
INTERVENTIONS: Patients were randomized to 1 of the following positions at the end of the operation until leaving the …
Approval Letter For The Butte Priority Soils Operable Unit (Bpsou) Draft Final Uncontrolled Surface Flow Areas Remedial Design (Rd) Work Plan, Draft Bpsou Uncontrolled Surface Flow Areas Pre-Design Investigation (Pdi) Work Plan, 2023 Uncontrolled Surface Flow Area Soil Characterization Quality Assurance Project Plan (Qapp) [Dated January 25, 2024], Molly Roby
Silver Bow Creek/Butte Area Superfund Site
No abstract provided.
Gender-Based Service Quality Evaluation Of Multimodal Public Transportation In Dki Jakarta, Mohammad Owais, Jachrizal Sumabrata, Nahry Yusuf
Gender-Based Service Quality Evaluation Of Multimodal Public Transportation In Dki Jakarta, Mohammad Owais, Jachrizal Sumabrata, Nahry Yusuf
Smart City
In DKI Jakarta, despite the extensive infrastructure development, there has been a significant decline in the usage of public transportation. This can be attributed to the inadequate quality of the services provided. Various studies have highlighted the significance of evaluating the quality of service in public transportation to ensure passenger satisfaction and attract new users. However, there is no agreement on the most effective methodology and suitable indicators for conducting such analyses. In addition, there is a growing recognition of the importance of promoting gender equality in multimodal public transportation (MMPT) and understanding gender differences and perceptions of MMPT services. …
Nanoparticles As Antioxidant Agents: A Comprehensive Review, Sulyman Olalekan Ibrahim, Halimat Yusuf Lukman, Fatimat Ronke Abdulkadir, Monsurat Yemisi Bello, Yusuf Oloruntoyin Ayipo, Halimah Funmilayo Babamale, Marili Funmilayo Zubair, Olubunmi Atolani
Nanoparticles As Antioxidant Agents: A Comprehensive Review, Sulyman Olalekan Ibrahim, Halimat Yusuf Lukman, Fatimat Ronke Abdulkadir, Monsurat Yemisi Bello, Yusuf Oloruntoyin Ayipo, Halimah Funmilayo Babamale, Marili Funmilayo Zubair, Olubunmi Atolani
Al-Bahir
This study seeks to provide a comprehensive overview of the latest progress in the antioxidant properties of nanoparticles. Nanoparticles (NPs) have emerged as a promising tool in several domains of science and industry, including their application as antioxidant agents. The main knowledge gaps seem to be in correctly identifying the make-up of the naturally occurring phytochemicals that give these nano-antioxidants their extraordinary pharmacology and drug-like properties. In many instances, that characterization is done using spectroscopy instrumentation such as fourier-transform Infrared (FT-IR), scanning electron microscope (SEM), and X-ray diffraction analysis (XRD). From literature appraisals, it was discovered that a lot of …
Ranking Cloud Service Providers Using Swara-Marcos In Type-2 Neutrosophic Number Set Environment, Mai Mohamed, Shaimaa Ayman, Rui Yong, Jun Ye
Ranking Cloud Service Providers Using Swara-Marcos In Type-2 Neutrosophic Number Set Environment, Mai Mohamed, Shaimaa Ayman, Rui Yong, Jun Ye
Neutrosophic Systems with Applications
Cloud computing is a model for allowing suitable, on-demand network access to a shared store of resources such as servers, networks, storage, apps, and services, modified according to specific needs or requirements. The main goal of cloud technology development is to increase the use of resources that work together to achieve reliability at the lowest cost. Cloud service providers (CSPs) have gained popularity in recent years due to their accessibility and availability, as well as the growing quantity of cloud service providers (CSPs) that appear. Choosing (CSPs) has grown to be a challenging decision for many companies. The paper aims …
Ranking Cloud Service Providers Using Swara-Marcos In Type-2 Neutrosophic Number Set Environment, Mai Mohamed, Shaimaa Ayman, Rui Yong, Jun Ye
Ranking Cloud Service Providers Using Swara-Marcos In Type-2 Neutrosophic Number Set Environment, Mai Mohamed, Shaimaa Ayman, Rui Yong, Jun Ye
Neutrosophic Systems with Applications
Cloud computing is a model for allowing suitable, on-demand network access to a shared store of resources such as servers, networks, storage, apps, and services, modified according to specific needs or requirements. The main goal of cloud technology development is to increase the use of resources that work together to achieve reliability at the lowest cost. Cloud service providers (CSPs) have gained popularity in recent years due to their accessibility and availability, as well as the growing quantity of cloud service providers (CSPs) that appear. Choosing (CSPs) has grown to be a challenging decision for many companies. The paper aims …
Prototype Device For Measuring The Dustiness Of Stone And Lime Dust Used In Explosion Prevention, Adrian Toman, Zdzisław Dyduch, Tomasz Skowronek
Prototype Device For Measuring The Dustiness Of Stone And Lime Dust Used In Explosion Prevention, Adrian Toman, Zdzisław Dyduch, Tomasz Skowronek
Journal of Sustainable Mining
This paper presents the prototype of a device for measuring the dustiness of powdered materials by means of a new measurement method. The currently employed stationary laboratory device, utilised in KD “Barbara”, uses the attenuation of a radiant flux transmitted through a dust cloud induced by a manually generated air blast. The new device uses the same measurement method, but it includes modern elements based on a microprocessor, a laser line generator instead of an LED diode, and a precise multi-channel detector. The generated quantity of the mixture (dust and air) is strictly determined and precisely dosed via buffer containers, …
Tracking Mining Company Electric Vehicles For Sustainable Development Optimization Using Distributed Ledger Technologies, Teodora Hristova
Tracking Mining Company Electric Vehicles For Sustainable Development Optimization Using Distributed Ledger Technologies, Teodora Hristova
Journal of Sustainable Mining
It is established that based on the industrial revolutions towards Industry 5.0, the population of the Earth and its well-being are increasing. To preserve and improve living conditions the development in all spheres of life is by the paradigm of sustainable development. Through the prism of the mining industry, one step could be the introduction of circular economy measures for digitized tracking of materials, repairs, consumed electricity, safety, and finances. Implementing of electric cars is an option to achieve this goal through automation, manageability, and data traceability via Industry 4.0 technologies. Such are blockchain technologies, IoT, V2V, and others. For …
Decentralized Optimization Over Slowly Time-Varying Graphs: Algorithms And Lower Bounds, Dmitry Metelev, Aleksandr Beznosikov, Alexander Rogozin, Alexander Gasnikov, Anton Proskurnikov
Decentralized Optimization Over Slowly Time-Varying Graphs: Algorithms And Lower Bounds, Dmitry Metelev, Aleksandr Beznosikov, Alexander Rogozin, Alexander Gasnikov, Anton Proskurnikov
Machine Learning Faculty Publications
We consider a decentralized convex unconstrained optimization problem, where the cost function can be decomposed into a sum of strongly convex and smooth functions, associated with individual agents, interacting over a static or time-varying network. Our main concern is the convergence rate of first-order optimization algorithms as a function of the network’s graph, more specifically, of the condition numbers of gossip matrices. We are interested in the case when the network is time-varying but the rate of changes is restricted. We study two cases: randomly changing network satisfying Markov property and a network changing in a deterministic manner. For the …
College Of Saint Benedict And Saint John's University Fy2023 Greenhouse Gas Emissions Inventory, Csb+Sju Office Of Sustainability
College Of Saint Benedict And Saint John's University Fy2023 Greenhouse Gas Emissions Inventory, Csb+Sju Office Of Sustainability
Sustainability Office Publications
The College of Saint Benedict (CSB) and Saint John’s University (SJU) Office of Sustainability conducted a comprehensive Greenhouse Gas (GHG) Inventory that includes emissions from both CSB and SJU campuses. This report details GHG emissions for Fiscal Year (FY) 2023 (July 1, 2022-June 30, 2023) in Metric Tons of Carbon Dioxide Equivalents (MTCO2e), the standard unit of measurement used to track and report GHG emissions based on their global warming potential. Data was collected, organized, and analyzed by staff in the CSB and SJU Sustainability Office.
A Screening Life Cycle Analysis Of One-Way And Reusable Crate Designs – Estimating Environmental Impacts Via Lca Software, Nicolas R. Corona
A Screening Life Cycle Analysis Of One-Way And Reusable Crate Designs – Estimating Environmental Impacts Via Lca Software, Nicolas R. Corona
Master's Theses
A comparison analysis conducted via COMPASS life cycle analysis software has indicated that a one-way crate design, rather than a reusable crate design, is in fact the more environmentally friendly packaging system. These results can be interpreted differently, however, as the manufacturer of said crate designs must confirm what impact indicators they would like to reference as environmental goalposts. The conducted analysis provides insight into what the environmental impacts of each packaging system look like as packaging at all three system levels has been identified as a means of reducing environmental impacts globally. As such, the manufacturer of said crate …
Learning Statistics With R: A Tutorial For Psychology Students And Other Beginners, Leslie Bain
Learning Statistics With R: A Tutorial For Psychology Students And Other Beginners, Leslie Bain
ATU Faculty OER Book Reviews
Review of OER Statistics textbook by Danielle Navarro, available at https://open.umn.edu/opentextbooks/textbooks/learning-statistics-with-r-a-tutorial-for-psychology-students-and-other-beginners
How To Propagate Uncertainty Via Ai Algorithms, Olga Kosheleva, Vladik Kreinovich
How To Propagate Uncertainty Via Ai Algorithms, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
Any data processing starts with measurement results. Measurement results are never absolutely accurate. Because of this measurement uncertainty, the results of processing measurement results are, in general, somewhat different from what we would have obtained if we knew the exact values of the measured quantities. To make a decision based on the result of data processing, we need to know how accurate is this result, i.e., we need to propagate the measurement uncertainty through the data processing algorithm. There are many techniques for uncertainty propagation. Usually, they involve applying the same data processing algorithm several times to appropriately modified data. …
Multivalued Variational Inequalities With Generalized Fractional Φ-Laplacians, Vy Khoi Le
Multivalued Variational Inequalities With Generalized Fractional Φ-Laplacians, Vy Khoi Le
Mathematics and Statistics Faculty Research & Creative Works
In this article, we examine variational inequalities of the form (Formula presented.), where (Formula presented.) is a generalized fractional (Formula presented.) -Laplace operator, K is a closed convex set in a fractional Musielak–Orlicz–Sobolev space, and (Formula presented.) is a multivalued integral operator. We consider a functional analytic framework for the above problem, including conditions on the multivalued lower order term (Formula presented.) such that the problem can be properly formulated in a fractional Musielak–Orlicz–Sobolev space, and the involved mappings have certain useful monotonicity–continuity properties. Furthermore, we investigate the existence of solutions contingent upon certain coercivity conditions.
Assessing The Efficacy Of Hydraulic Pumping As A Remediation Method Of A Subsurface Light Non-Aqueous Phase Liquid Spill In Arroyo Grande, California, James M. Raney
Master of Science in Environmental Sciences and Management Projects
The efficacy of hydraulic pumping as a remediation method of a petroleum, or Light Non-Aqueous Phase Liquid (LNAPL) spill in Arroyo Grande, California will be assessed by determining aquifer properties, assessing the chemical properties of the contaminant, recovering the contaminant from the subsurface, and proposing alternative remediation techniques. Soil, groundwater and contaminant characteristics, cumulative volume of LNAPL skimming test data, pumping rates, and LNAPL thicknesses in wells installed within the contaminant plume were collected. Sediments around the LNAPL source are contaminated with hydrocarbons in the gas and diesel range. Pumping efficacy is expected to continue to decrease at the site, …
For Discrete-Time Linear Dynamical Systems Under Interval Uncertainty, Predicting Two Moments Ahead Is Np-Hard, Luc Jaulin, Olga Kosheleva, Vladik Kreinovich
For Discrete-Time Linear Dynamical Systems Under Interval Uncertainty, Predicting Two Moments Ahead Is Np-Hard, Luc Jaulin, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
In the first approximation, when changes are small, most real-world systems are described by linear dynamical equations. If we know the initial state of the system, and we know its dynamics, then we can, in principle, predict the system's state many moments ahead. In practice, however, we usually know both the initial state and the coefficients of the system's dynamics with some uncertainty. Frequently, we encounter interval uncertainty, when for each parameter, we only know its range, but we have no information about the probability of different values from this range. In such situations, we want to know the range …
How To Make Ai More Reliable, Olga Kosheleva, Vladik Kreinovich
How To Make Ai More Reliable, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
One of the reasons why the results of the current AI methods (especially deep-learning-based methods) are not absolutely reliable is that, in contrast to more traditional data processing techniques which are based on solid mathematical and statistical foundations, modern AI techniques use a lot of semi-heuristic methods. These methods have been, in many cases, empirically successful, but the absence of solid justification makes us less certain that these methods will work in other cases as well. To make AI more reliable, it is therefore necessary to provide mathematical foundations for the current semi-heuristic techniques. In this paper, we show that …
What To Do If An Inflexible Tolerance Problem Has No Solutions: Probabilistic Justification Of Piegat's Semi-Heuristic Idea, Olga Kosheleva, Vladik Kreinovich
What To Do If An Inflexible Tolerance Problem Has No Solutions: Probabilistic Justification Of Piegat's Semi-Heuristic Idea, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
In many practical situations, it is desirable to select the control parameters x1, ..., xn in such a way that the resulting quantities y1, ..., ym of the system lie within desired ranges. In such situations, we usually know the general formulas describing the dependence of yi on xj, but the coefficients of these formulas are usually only known with interval uncertainty. In such a situation, we want to find the tuples for which all yi's are in the desired intervals for all possible tuples of coefficients. But what if no such parameters are possible? Since we cannot guarantee the …
Why Magenta Is Not A Real Color, And How It Is Related To Fuzzy Control And Quantum Computing, Victor L. Timchenko, Yuriy P. Kondratenko, Olga Kosheleva, Vladik Kreinovich
Why Magenta Is Not A Real Color, And How It Is Related To Fuzzy Control And Quantum Computing, Victor L. Timchenko, Yuriy P. Kondratenko, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
It is well known that every color can be represented as a combination of three basic colors: red, green, and blue. In particular, we can get several colors by combining two of the basic colors. Interestingly, while a combination of two neighboring colors leads to a color that corresponds to a certain frequency, the combination of two non-neighboring colors -- red and blue -- leads to magenta, a color that does not correspond to any frequency. In this paper, we provide a simple explanation for this phenomenon, and we also show that a similar phenomenon happens in two other areas …
Why Fully Consistent Quantum Field Theories Require That The Space-Time Be At Least 10-Dimensional: A Commonsense Field-Based Explanation, Olga Kosheleva, Vladik Kreinovich
Why Fully Consistent Quantum Field Theories Require That The Space-Time Be At Least 10-Dimensional: A Commonsense Field-Based Explanation, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
It is known that quantum field theories that describe fields in our usual 4-dimensional space-times are not fully consistent: they predict meaningless infinite values for some physical quantities. There are some known tricks to avoid such infinities, but it is definitely desirable to have a fully consistent theory, a theory that would produce correct results without having to use additional tricks. It turns out that the only way to have such a theory is to consider space-times of higher dimensions, the smallest of which is 10. There are complex mathematical reasons for why 10 is the smallest such dimension. However, …
Towards A More Subtle (And Hopefully More Adequate) Fuzzy "And"-Operation: Normalization-Invariant Multi-Input Aggregation Operators, Yusuf Güven, Vladik Kreinovich
Towards A More Subtle (And Hopefully More Adequate) Fuzzy "And"-Operation: Normalization-Invariant Multi-Input Aggregation Operators, Yusuf Güven, Vladik Kreinovich
Departmental Technical Reports (CS)
Many reasonable conditions have been formulated for a fuzzy "and"-operation: idempotency, commutativity, associativity, etc. It is known that the only "and"-operation that satisfies all these conditions is minimum, but minimum is not the most adequate description of expert's "and", and it often does not lead to the best control or the best decision. Many other more adequate "and"-operations (t-norms) have been proposed and effectively used, but they do not satisfy the natural idempotency condition. In this paper, we show that a small relaxation of the usual description of "and"-operations leads to the possibility of non-minimum idempotent operations. We also show …
Why Empirical Membership Functions Are Well-Approximated By Piecewise Quadratic Functions: Theoretical Explanation For Empirical Formulas Of Novak's Fuzzy Natural Logic, Olga Kosheleva, Vladik Kreinovich
Why Empirical Membership Functions Are Well-Approximated By Piecewise Quadratic Functions: Theoretical Explanation For Empirical Formulas Of Novak's Fuzzy Natural Logic, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
Empirical analysis shows that membership functions describing expert opinions have a shape that is well described by a smooth combination of two quadratic segments. In this paper, we provide a theoretical explanation for this empirical phenomenon.