scholarly journals Near Approximations in -Closure Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-23
Author(s):  
M. E. Abd El-Monsef ◽  
M. Shokry ◽  
Y. Y. Yousif
Keyword(s):  
Mathematical Models ◽  
Real Life ◽  
Approximation Spaces ◽  
Closure Approximation ◽  
Closure Spaces

Most real-life situations need some sort of approximation to fit mathematical models. The beauty of using topology in approximation is achieved via obtaining approximation for qualitative subgraphs without coding or using assumption. The aim of this paper is to apply near concepts in the -closure approximation spaces. The basic notions of near approximations are introduced and sufficiently illustrated. Near approximations are considered as mathematical tools to modify the approximations of graphs. Moreover, proved results, examples, and counterexamples are provided.

scholarly journals Learning Mathematics Through Mathematical Modelling Processes Within Sports Day Activity

2020 ◽  
Vol 10 (2) ◽  
pp. 105-114
Author(s):  
Sakon Tangkawsakul ◽  
Nuttapat Mookda ◽  
Weerawat Thaikam
Keyword(s):  
Mathematical Modelling ◽  
Mathematical Models ◽  
Mathematics Teachers ◽  
Mathematical Knowledge ◽  
Real Life ◽  
Knowledge And Skills ◽  
School Sports ◽  
Learning Mathematics ◽  
The One ◽  
Modelling Task

In this study, we adapted the school sports day to provide opportunities to relate real-life situations with mathematical knowledge and skills. The purpose of this study was to describe the way that the teachers interact with their students and the students’ responses during mathematical modelling processes. The designing of the modelling task was inspired by the Realistic Fermi Problems about the bleacher in the school sports day. The modelling task was designed by a collaboration of mathematics teachers and educators and experimented with 10th-grade students. Each experiment lasted for 45 minutes and was conducted in the one-day camp with 45 students. The results showed that the students who had no previous experience of mathematical modelling engaged in mathematical modelling processes with their friends under the guidance and supporting of the teacher. Most of them were able to think, make assumptions, collect data, observe, make conjectures and create mathematical models to understand and solve the modelling task.   

M-Fuzzifying Approximation Spaces, M-Fuzzifying Pretopological Spaces and M-Fuzzifying Closure Spaces

2020 ◽  
Vol 16 (03) ◽  
pp. 609-626
Author(s):  
Anand P. Singh ◽  
I. Perfilieva
Keyword(s):  
Significant Role ◽  
Category Theory ◽  
Galois Connection ◽  
Fuzzy Relations ◽  
Approximation Spaces ◽  
Closure Spaces

In category theory, Galois connection plays a significant role in developing the connections among different structures. The objective of this work is to investigate the essential connections among several categories with a weaker structure than that of [Formula: see text]-fuzzifying topology, viz. category of [Formula: see text]-fuzzifying approximation spaces based on reflexive [Formula: see text]-fuzzy relations, category of [Formula: see text]-fuzzifying pretopological spaces and the category of [Formula: see text]-fuzzifying interior (closure) spaces. The interrelations among these structures are shown via the functorial diagram.

scholarly journals Categories of L-Fuzzy Čech Closure Spaces and L-Fuzzy Co-Topological Spaces

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1274
Author(s):  
Irina Perfilieva ◽  
Ahmed A. Ramadan ◽  
Enas H. Elkordy
Keyword(s):  
Computer Science ◽  
Fuzzy Systems ◽  
Topological Spaces ◽  
Fuzzy Relations ◽  
Approximation Spaces ◽  
Galois Correspondence ◽  
Closure Spaces

Recently, fuzzy systems have become one of the hottest topics due to their applications in the area of computer science. Therefore, in this article, we are making efforts to add new useful relationships between the selected L-fuzzy (fuzzifying) systems. In particular, we establish relationships between L-fuzzy (fuzzifying) Čech closure spaces, L-fuzzy (fuzzifying) co-topological spaces and L-fuzzy (fuzzifying) approximation spaces based on reflexive L-fuzzy relations. We also show that there is a Galois correspondence between the categories of these spaces.

scholarly journals The analysis of exigencies of priority of crossing at intersections from the game theory's point of view

2018 ◽  
Vol 19 (6) ◽  
pp. 110-114
Author(s):  
Jarosław Jabłonka
Keyword(s):  
Mathematical Models ◽  
Travel Time ◽  
Real Life ◽  
Theoretical Models ◽  
Point Of View ◽  
The Internet ◽  
The Real ◽  
Stop Sign ◽  
Taking Action

The assumption that each road participant adheres to the rules, ideally adapts his behavior to the prevailing road conditions, is unrealistic, and as the basis for taking action can lead to collisions and accidents. The article presents the theoretical models allowing to understand the behavior of drivers who deliberately enforce the priority of passing, and their only motivation is the shortest travel time through the intersection. Two types of situations at crossroads are considered: with guided and non-guided traffic with the STOP sign. The presented mathematical models are illustrated by the real-life recordings of drivers available on the Internet.

Logistics: Models and Methods

2017 ◽  
Author(s):  
Попов ◽  
Pavel Popov
Keyword(s):  
Higher Education ◽  
Mathematical Models ◽  
Inventory Management ◽  
State Standard ◽  
Optimization Problems ◽  
Sales Management ◽  
Real Life ◽  
Supply And Distribution

Theoretical and practical aspects of logistic's major areas, namely logistic's processes management, supply and distribution, inventory management, warehousing and transportation, are described in this textbook. Optimization of logistic processes is discussed in great detail. Mathematical models for selected logistic processes are described, corresponding optimization problems are defined and the solutions are outlined. The textbook contains a number of cases. On top of that some real life logistic problems are discussed. Each chapter contains several problems. This material complies with the latest edition of State standard on higher education. Recommended for business specialists in logistics, marketing, sales, management, manufacturing and supply, scientific researches, students and PhD sudents.

Optimal support strategy for mechanical systems under contract realm

2015 ◽  
Vol 22 (7) ◽  
pp. 1395-1416 ◽  
Author(s):  
Mohammad Asjad ◽  
Makarand S Kulkarni ◽  
O P Gandhi
Keyword(s):  
Mathematical Models ◽  
Life Cycle Cost ◽  
Mechanical Systems ◽  
Real Life ◽  
Third Party ◽  
National Capital Region ◽  
Content Type ◽  
Real Life Problem ◽  
Work Distribution ◽  
Contract Structure

Purpose – Original equipment manufacturers (OEMs) start providing support to products that helped them in sustaining their business worldwide. The customers are entering into contracts with the OEM, to get the required level of performance but at minimum possible cost. It required the work distribution between OEM/service provider and the client, and may formalize through contract. The contract structure depends upon the number of player involved (customer, OEM and third party) and the support activity. The different contract alternatives can be formulated and the best one may be selected on the basis of minimum Life cycle cost. The paper aims to discuss these issues. Design/methodology/approach – In this work, mathematical models are developed; which are implemented on a real life problem. The developed models are optimized in context to preventive maintenance schedule. Findings – In this research, important issues are listed; research steps and mathematical models are presented. The problem has been identified from the literature perspective for mechanical systems. A methodology for formulating and selecting the optimal contract structure is also proposed. The model has been implemented on a real life problem, in which the OEMs provide support to their make installed at Compressed Natural Gas workstation in National Capital Region, India. Originality/value – The research results of this paper will contribute both academic and empirical value.

scholarly journals CPM and PERT techniques for small-scale R&D projects

2019 ◽  
pp. 166-174
Author(s):  
Marius Simion ◽  
Gabriela Vasile ◽  
Cristina Dinu ◽  
Roxana Scutariu
Keyword(s):  
Program Evaluation ◽  
Mathematical Models ◽  
Completion Time ◽  
Critical Path ◽  
Real Life ◽  
Project Managers ◽  
Small Scale ◽  
Just In Time ◽  
Research Activities ◽  
Project Network

Contemporary Project Management has conceived tools based on mathematical models for planning, scheduling and controlling the projects, the costs and resources. Critical Path Method (CPM) and Program Evaluation and Review Technique (PERT) are two network-based methods which were independently developed to assist the project managers in order to schedule complex real-life projects. A scheduling of a small-scale R&D project using these optimization time-oriented methods was accomplished. In many models of project network some activities are closely related to each other such as procurement activities of basic resources and research activities. If this precedence relationship is on the critical path, that means without no event slack or float time for activities, then some procurements delay may cause lag in the project’s completion time. Thus a good estimation for procurement and research activities duration is needed for a Just-in-Time project.

Recent Advances in Modelling Crop Response to Temperature

1989 ◽  
Vol 18 (2) ◽  
pp. 54-57 ◽  
Author(s):  
C. D. Vincent
Keyword(s):  
Mathematical Models ◽  
Soil Temperature ◽  
Real Life ◽  
Crop Response ◽  
Recent Advances ◽  
Response To Temperature ◽  
Made In

Mathematical models to predict the effect of altering various parameters in real-life situations are now widely used. The complexity of the factors that control the growth of crops makes such modelling very difficult in the context of agriculture, but nevertheless some useful results have been obtained. This article reviews the progress that has been made in predicting the effect of air and soil temperature on the growth of plants.

The Accuracy of Location Prediction Algorithms Based on Markovian Mobility Models

2011 ◽  
pp. 106-125
Author(s):  
Péter Fülöp ◽  
Sándor Imre ◽  
Sándor Szabó ◽  
Tamás Szálka
Keyword(s):  
Mathematical Models ◽  
Cellular Networks ◽  
Real Life ◽  
Access Networks ◽  
Base Stations ◽  
Optimal Placement ◽  
Wireless Access Networks ◽  
Traffic Characteristics ◽  
Proposed Model ◽  
802.11 Wlan

The efficient dimensioning of cellular wireless access networks depends highly on the accuracy of the underlying mathematical models of user distribution and traffic estimations. The optimal placement/deployment of e.g. UMTS, IEEE 802.16 WiMAX base stations or IEEE 802.11 WLAN access points is based on user distribution and traffic characteristics in the service area. In this paper we focus on the tradeoff between the accuracy and the complexity of the mathematical models used to describe user movements in the network. We propose a novel Markov chain based model capable of utilizing user’s movement history thus providing more accurate results than other models in the literature. The new model is applicable in real-life scenarios, because it relies on information effectively available in cellular networks (e.g. handover history). The complexity of the proposed model is analyzed, and the accuracy is justified by means of simulation.

scholarly journals EDITORIAL

2021 ◽  
Vol 20 (2) ◽  
pp. 02
Author(s):  
Wellington Balmant
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Human Life ◽  
Real Life ◽  
Scientific Progress ◽  
Main Idea ◽  
Thermal Engineering ◽  
Future Research ◽  
Good Tool ◽  
Simple Task

The editorial of Thermal Engineering of this issue continues the discussion on scientific research needs in vital areas in which thermal engineering has important participation. The main goal is to motivate the readers, within their specialties, to identify possible subjects for their future research. Mathematical modeling is a powerful tool used in engineering when one wants to design and optimize and equipment and/or processes. The main idea behind a mathematical model is to be able to simulate, as accurately as possible, the behavior of any physical system, real or virtual. However, the task of creating a mathematical model is far from simple. For the sake of comparison, disciplines of physics also propose mathematical models, but these models need to be universal. In engineering, this degree of universality is practically impossible. In reality, a good mathematical model for engineering is the one that is a good tool, assisting the design and optimization of equipment and systems. But which model should we choose when we find ourselves in real life engineering problems? Unfortunately, mathematical models for engineering are quite subjective. It takes into account what each author of the model saw and what problem he/she wanted to solve. That is why for the same system, for example, a shell and tube heat exchangers, there are multitude mathematical models proposed with different features, from highly complex models that use computational fluid dynamics to the simplest models used in undergraduate courses. This makes creativity and analytical skills very important when designing and optimizing a real system in view of the fact that design failures can generate monetary and human life losses. Choosing the right mathematical model is not a simple task, especially in unconsolidated areas, which are generally those where there is a great interest in applied research. Due to the very large number of existing mathematical models, engineers generally choose to propose their own mathematical model. A classification system for mathematical models would be very useful to find what mathematical models are most useful for a given situation.The mission of Thermal Engineering is to document the scientific progress in areas related to thermal engineering (e.g., energy, oil and renewable fuels). We are confident that we will continue to receive articles’ submissions that contribute to the progress of science.

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