This paper is modeled as a hypothetical first lecture in a graduate Microeconomics or Mathematical Economics Course. We start with a detailed scrutiny of the notion of a utility function to motivate and describe the common patterns across Mathematical concepts and results that are used by economists. In the process we arrive at a classification of mathematical terms which is used to state mathe...

The applicability of Net Present Value (NPV) in an investment project is becoming more and more popular in the field of engineering economics. The classical NPV methodology involves only the precise and accurate data of the investment project. In the present communication, we give a new mathematical model for NPV which uses the concept of intuitionistic fuzzy set theory. The proposed model is b...

Security managers face the challenge of formulating and implementing policies that deliver their desired system security postures — for example, their preferred balance of confidentiality, integrity, and availability — within budget (monetary and otherwise). In this paper, we describe a security modelling methodology, grounded in rigorous mathematical systems modelling and economics, that captu...

Security managers face the challenge of formulating and implementing policies that deliver their desired system security postures — for example, their preferred balance of confidentiality, integrity, and availability — within budget (monetary and otherwise). In this paper, we describe a security modelling methodology, grounded in rigorous mathematical systems modelling and economics, that captu...

This chapter presents an original continuous time methodology and mathematical models applied for analyzing the effectiveness of technical and economic aspects of the operation of heat and electricity sources.

This chapter presents an original continuous time methodology and mathematical models applied for analyzing the effectiveness of technical and economic aspects of the operation of heat and electricity sources.

1 College of International Economics and Trade, Jilin University of Finance and Economics, Jilin, Changchun 130117, China 2 School of Mathematical and Informational Sciences, Yantai University, Shandong, Yantai 264005, China 3 School of Mathematical Sciences, Qufu Normal University, Shandong, Qufu 273165, China 4 Department of Mathematics and Statistics, Curtin University of Technology, Perth, ...