How Students Connect Mathematical Models to Descriptions of Real-World Situations

In this paper, we focus on two main objectives. Firstly, we define some binary and unary operations on N-soft sets and study their algebraic properties. In unary operations, three different types of complements are studied. We prove De Morgan’s laws concerning top complements and for bottom complements for N-soft sets where N is fixed and provide a counterexample to show that De Morgan’s laws do not hold if we take different N. Then, we study different collections of N-soft sets which become idempotent commutative monoids and consequently show, that, these monoids give rise to hemirings of N-soft sets. Some of these hemirings are turned out as lattices. Finally, we show that the collection of all N-soft sets with full parameter set E and collection of all N-soft sets with parameter subset A are Stone Algebras. The second objective is to integrate the well-known technique of TOPSIS and N-soft set-based mathematical models from the real world. We discuss a hybrid model of multi-criteria decision-making combining the TOPSIS and N-soft sets and present an algorithm with implementation on the selection of the best model of laptop.

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Call for Manuscripts for the 2015 Focus Issue: Mathematical Modeling

Mathematics Teaching in the Middle School ◽

10.5951/mathteacmiddscho.18.9.0571 ◽

2013 ◽

Vol 18 (9) ◽

pp. 571

Keyword(s):

Mathematical Modeling ◽

Mathematical Models ◽

Real World ◽

The Real

This call for manuscripts is requesting articles that address how to use mathematical models to analyze, predict, and resolve issues arising in the real world.

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Analysis on Present Mathematical Model for Predicting the Crop Production

International Journal of Innovative Technology and Exploring Engineering - Special Issue ◽

10.35940/ijitee.l7946.1091220 ◽

2020 ◽

Vol 9 (12) ◽

pp. 168-170

Keyword(s):

Mathematical Model ◽

Mathematical Models ◽

Real World ◽

Crop Production ◽

Ghg Emissions ◽

Data Set ◽

Factors Affecting ◽

The Government ◽

The Mathematical Model ◽

Government Website

India is a worldwide agriculture business powerhouse. Future of agriculture-based products depends on the crop production. A mathematical model might be characterized as a lot of equations that speak to the conduct of a framework. By using mathematical model in agriculture field, we can predict the production of crop in particular area. There are various factors affecting crops such as Rainfall, GHG Emissions, Temperature, Urbanization, climate, humidity etc. A mathematical model is a simplified representation of a real-world system. It forms the system using mathematical principles in the form of a condition or a set of conditions. Suppose we need to increase the crop production, at that time the mathematical model plays a major role and our work can be easier, more significant by using the mathematical model. Through the mathematical model we predict the crop production in upcoming years. .AI, ML, IOT play a major role to predict the future of agriculture, but without mathematical models it is not possible to predict crop production accurately. To solve the real-world agriculture problem, mathematical models play a major role for accurate results. Correlation Analysis, Multiple Regression analysis and fuzzy logic simulation standards have been utilized for building a grain production benefit depending model from crop production. Prediction of crop is beneficiary to the farmer to analyze the crop management. By using the present agriculture data set which is available on the government website, we can build a mathematical model.

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Mathematical models for a batch scheduling problem to minimize earliness and tardiness

Journal of Industrial Engineering and Management ◽

10.3926/jiem.2541 ◽

2018 ◽

Vol 11 (3) ◽

pp. 390 ◽

Cited By ~ 3

Author(s):

Basar Ogun ◽

Çigdem Alabas-Uslu

Keyword(s):

Mathematical Models ◽

Real World ◽

Lean Manufacturing ◽

Programming Model ◽

Computational Study ◽

Batch Scheduling ◽

Scheduling Problem ◽

Scheduling Problems ◽

Earliness And Tardiness ◽

Customer Orders

Purpose: Today’s manufacturing facilities are challenged by highly customized products and just in time manufacturing and delivery of these products. In this study, a batch scheduling problem is addressed to provide on-time completion of customer orders in the environment of lean manufacturing. The problem is to optimize partitioning of product components into batches and scheduling of the resulting batches where each customer order is received as a set of products made of various components.Design/methodology/approach: Three different mathematical models for minimization of total earliness and tardiness of customer orders are developed to provide on-time completion of customer orders and also, to avoid from inventory of final products. The first model is a non-linear integer programming model while the second is a linearized version of the first. Finally, to solve larger sized instances of the problem, an alternative linear integer model is presented.Findings: Computational study using a suit set of test instances showed that the alternative linear integer model is able to solve all test instances in varying sizes within quite shorter computer times comparing to the other two models. It was also showed that the alternative model can solve moderate sized real-world problems.Originality/value: The problem under study differentiates from existing batch scheduling problems in the literature since it includes new circumstances which may arise in real-world applications. This research, also, contributes the literature of batch scheduling problem by presenting new optimization models.

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Illustrating Mathematical Connections: Two Proofs That Only Five Regular Polyhedra Exist

Mathematics Teacher ◽

10.5951/mt.86.8.0657 ◽

1993 ◽

Vol 86 (8) ◽

pp. 657-661

Author(s):

Peter L. Glidden ◽

Erin K. Fry

Keyword(s):

Mathematical Models ◽

Real World ◽

Mathematics Curriculum ◽

Three Dimensional ◽

Discrete Mathematics ◽

Evaluation Standards ◽

Mathematical Connections ◽

Regular Polyhedra ◽

Real World Problems

The reforms proposed in the NCTM's Curriculum and Evaluation Standards (1989) call for specific changes in the grades 9-12 mathematics curriculum, as well as for general themes that should be emphasized throughout the curriculum. In particular, the standards document calls for including topics from discrete mathematics and three-dimensional geometry, and it calls for increased emphasis on paragraph-style proofs. Overall, these and other topics should be taught with the ultimate goals of illustrating mathematical connections and constructing mathematical models to solve real-world problems.

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Integrating Curriculum through Themes

Mathematics Teaching in the Middle School ◽

10.5951/mtms.11.8.0408 ◽

2006 ◽

Vol 11 (8) ◽

pp. 408-415

Author(s):

Robert M. Horton ◽

Traci Hedetniemi ◽

Elaine Wiegert ◽

John R. Wagner

Keyword(s):

Middle School ◽

Social Studies ◽

Mathematical Models ◽

Language Arts ◽

Real World ◽

School Curriculum ◽

The Other ◽

Grade Levels ◽

Natural Choice ◽

Principles And Standards

Integrating mathematics, science, language arts, and social studies within the middle school curriculum can be an important and worthwhile endeavor. With integration, students realize that, at least in the real world, disciplines do not exist in perfect isolation and that the separations so often seen in school are arbitrary and, at times, unnecessary. Although any one of these disciplines can be the center of the integration, mathematics may be the most natural choice, especially when we focus on mathematical models, descriptions of real-world phenomena through mathematics. The Connections strand of Principles and Standards for School Mathematics states that students across grade levels should be able to “recognize and apply mathematics in contexts outside of mathematics” (NCTM 2000, p. 64). Students can naturally make connections when the mathematics they are learning is presented through problems emanating from other disciplines, particularly in science. In turn, students may grasp underlying concepts of the other disciplines better when they view them through a mathematical lens.

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Mathematical Models and Methods for Real World Systems

10.1201/9781420026511 ◽

2005 ◽

Keyword(s):

Mathematical Models ◽

Real World ◽

World Systems

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Call for Manuscripts for the 2015 Focus Issue: Mathematical Modeling

Mathematics Teaching in the Middle School ◽

10.5951/mathteacmiddscho.18.8.0467 ◽

2013 ◽

Vol 18 (8) ◽

pp. 467

Keyword(s):

Mathematical Modeling ◽

Mathematical Models ◽

Real World ◽

The Real

This call for manuscripts is requesting articles that address how to use mathematical models to analyze, predict, and resolve issues arising in the real world.

Download Full-text

Applied mathematics and nonlinear sciences in the war on cancer

Applied Mathematics and Nonlinear Sciences ◽

10.21042/amns.2016.2.00036 ◽

2016 ◽

Vol 1 (2) ◽

pp. 423-436 ◽

Cited By ~ 16

Author(s):

Víctor M. Pérez-García ◽

Susan Fitzpatrick ◽

Luis A. Pérez-Romasanta ◽

Milica Pesic ◽

Philippe Schucht ◽

...

Keyword(s):

Mathematical Models ◽

Cancer Patients ◽

Real World ◽

Mathematical Knowledge ◽

Applied Mathematics ◽

Specific Cancer ◽

Real World Applications ◽

Cancer Types ◽

Optimized Treatment

AbstractApplied mathematics and nonlinear sciences have an enormous potential for application in cancer. Mathematical models can be used to raise novel hypotheses to test, develop optimized treatment schedules and personalize therapies. However. this potential is yet to be proven in real-world applications to specific cancer types. In this paper we discuss how we think mathematical knowledge may be better used to improve cancer patients’ outcome.

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