Dymowa L. Soft Computing in Economics and Finance

Springer, 2011. — 309 p. — ISBN: 978-3-642-17718-7.Currently the methods of Soft Computing are successfully used for risk analysis in: budgeting, e-commerce development, portfolio selection, Black-Scholes option pricing models, corporate acquisition systems, evaluating investments in advanced manufacturing technology, interactive fuzzy interval reasoning for smart web shopping, fuzzy scheduling and logistic.
An essential feature of economic and financial problems it that there are always at least two criteria to be taken into account: profit maximization and risk minimization. Therefore, the economic and financial problems are multiple criteria ones. In this book, a new systematization of the problems of multiple criteria decision making is proposed which allows the author to reveal unsolved problems. The solutions of them are presented as well and implemented to deal with some important real-world problems such as investment project’s evaluation, tool steel material selection problem, stock screening and fuzzy logistic.
It is well known that the best results in real -world applications can be obtained using the synthesis of modern methods of soft computing. Therefore, the developed by the author new approach to building effective stock trading systems, based on the synthesis of fuzzy logic and the Dempster-Shafer theory, seems to be a considerable contribution to the application of soft computing method in economics and finance.
An important problem of capital budgeting is the fuzzy evaluation of the Internal Rate of Return. In this book, this problem is solved using a new method which makes it possible to solve linear and nonlinear interval and fuzzy equations and systems of them. The developed new method allows the author to obtain an effective solution of the Leontjev’s input-output problem in the interval setting.Applications of Modern Mathematics in Economics and Finance
Fuzzy Set Theory and Applied Interval Analysis in Economical and Financial Applications
Economic and Financial Applications of Rough Sets Theory
Artificial Neural Network-Based Applications in Economics and Finance
Applications of Multiple Criteria Decision Making in Economics and Finance
Summary and DiscussionThe Methods for Uncertainty Modeling
Fuzzy Set Theory
Interval Arithmetic
Dempster-Shafer Theory of Evidence
Summary and DiscussionMCDM with Applications in Economics and Finance
MCDM in the Fuzzy Setting
Tool Steel Material Selection Problem
Multiple Criteria Investment Project Evaluation in the Fuzzy Setting
Fuzzy MCDM and Optimization in the Stock Screening
Multiple Criteria Fuzzy Evaluation and Optimization in Budgeting
Summary and DiscussionInterval and Fuzzy Arithmetic in Logistic
Fuzzy Linear Programming Approach to the Distribution Planning Problem
Multiple Criteria Fuzzy Distribution Planning Problem
Summary and DiscussionThe Synthesis of Fuzzy Logic and DST in Stock Trading Decision Support Systems
Stock Trading Systems Based on Conventional Fuzzy Logic
The Stock Trading System Based on Fuzzy Logic and Evidential Reasoning
Summary and DiscussionApplication of Interval and Fuzzy Analysis in Economic Modeling
Basics of "Interval Zero Extension" Method
Solving Interval Linear Systems and the Interval Leontiev's Input-Output Problem
Solving Nonlinear Interval and Fuzzy Equations
Fuzzy Internal Rate of Return in Budgeting
Summary and Discussion