Hybrid Rough Sets and Applications in Uncertain Decision-Making

ISBN-13: 9781420087482 / Angielski / Twarda / 2010 / 284 str.

Lirong Jian;Yi Lin

Opis

As a powerful approach to data reasoning, rough set theory has proven to be invaluable in knowledge acquisition, decision analysis and forecasting, and knowledge discovery. With the ability to enhance the advantages of other soft technology theories, hybrid rough set theory is quickly emerging as a method of choice for decision making under uncertain conditions.

Keeping the complicated mathematics to a minimum, Hybrid Rough Sets and Applications in Uncertain Decision-Making provides a systematic introduction to the methods and application of the hybridization for rough set theory with other related soft technology theories, including probability, grey systems, fuzzy sets, and artificial neural networks. It also:

• Addresses the variety of uncertainties that can arise in the practical application of knowledge representation systems
• Unveils a novel hybrid model of probability and rough sets
• Introduces grey variable precision rough set models
• Analyzes the advantages and disadvantages of various practical applications

The authors examine the scope of application of the rough set theory and discuss how the combination of variable precision rough sets and dominance relations can produce probabilistic preference rules out of preference attribute decision tables of preference actions. Complete with numerous cases that illustrate the specific application of hybrid methods, the text adopts the latest achievements in the theory, method, and application of rough sets.

Recenzje

The book presents the mathematical theory of rough sets: its interpretation, properties and applications for data and reasoning, especially for decision analysis and forecasting. Also, the relation between rough set theory (RST) and other soft computing theories, such as fuzzy set theory, grey systems, neural networks and probability and statistics, is considered as a tool to manage uncertainty and incomplete information. … This book especially targets postgraduates interested in activities such as economic management, information sciences, social sciences or applied mathematics, and aims to draw their attention to the soft computing approach.
—Maria-Teresa Lamata, in Mathematical Reviews, Issue 2012D

Spis treści

Introduction. Rough Set Theory. The Hybrid of Rough Set Theory and Probability. The Hybrid of Rough Set Theory and Dominance Relation. The Hybrid of Rough Set Theory and Fuzzy Set Theory. The Hybrid of Rough Set Theory and Grey System Theory. The Hybrid of Grey Variable Precision Rough Set, Fuzzy Set and Neural Network. The Application Analysis of the Hybrid Rough Set Approach.