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1996 | Buch

Fuzzy Databases

Principles and Applications

verfasst von: Frederick E. Petry

Verlag: Springer US

Buchreihe : International Series in Intelligent Technologies

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Über dieses Buch

This volume presents the results of approximately 15 years of work from researchers around the world on the use of fuzzy set theory to represent imprecision in databases. The maturity of the research in the discipline and the recent developments in commercial/industrial fuzzy databases provided an opportunity to produce this survey. In this introduction we will describe briefly how fuzzy databases fit into the overall design of database systems and then overview the organization of the text. FUZZY DATABASE LANDSCAPE The last five years have been witness to a revolution in the database research community. The dominant data models have changed and the consensus on what constitutes worthwhile research is in flux. Also, at this time, it is possible to gain a perspective on what has been accomplished in the area of fuzzy databases. Therefore, now is an opportune time to take stock of the past and establish a framework. A framework should assist in evaluating future research through a better understanding of the different aspects of imprecision that a database can model [ 1 l.

Inhaltsverzeichnis

Frontmatter
1. Database Fundamentals
Abstract
In this chapter we will present an overview of the basic concepts involved with databases and database design using the entity-relationship approach. Next the major data models, including the network, relational and object-oriented approaches are introduced and discussed briefly. Each of these will be described in more detail in subsequent chapters. An example of the design of a database that is used for environmental planning is presented and will be utilized for illustrative examples throughout this volume.
Frederick E. Petry
2. Relational Databases and Fuzzy Sets Background
Abstract
In this chapter we will provide an overview of relational databases and fuzzy set theory as will be needed when we describe the various fuzzy relational extensions in following chapters. The relational model has been highly influential based both on its sound mathematical foundations and highly successful implementations. First the formal definition of the relational model will be presented and then the design process will be discussed in more detail. In chapter 1 we have seen how entity-relationship modeling led to a relational data base design. Also we will describe the design approach using functional dependencies to develop the relations of the database and then briefly describe the querying of relational models by relational algebra, relational calculus and the higher level SQL language.
Frederick E. Petry
3. Similarity-Based Models
Abstract
In previous chapters we have introduced the basic concepts of the relational database model and fuzzy set theory. The relational model has been the dominant database model for a considerable period of time and so it was naturally used by researchers to introduce fuzzy set theory into databases. Much of the work in the area has been in extending the basic model and query languages to permit the representation and retrieval of imprecise data. A number of related issues such as functional dependencies, security, implementation considerations and others have also been investigated. These topics will be described in this chapter and the next in the context of relational databases.
Frederick E. Petry
4. Possibility-Based Models
Abstract
This chapter will continue the description of the application of fuzzy set theory to the relational database model. In the previous chapter, chapter 3, we surveyed approaches that used the concept of similarity or proximity relationships. These representations capture the imprecision in distinction of elements of domain sets of attributes in relations. Here we will overview a number of different approaches that have utilized possibility theory to represent uncertainty in the relational database models.
Frederick E. Petry
5. Alternative Database Models and Approaches
Abstract
In this chapter we discuss a variety of alternative approaches to fuzzy databases. This will include database models other than the relational model in which fuzzy set theory has been applied to model uncertainty, specifically the network model and object-oriented databases. Network databases were highly significant before the relational model became dominant in the 1980’s. They were based on a structure which seemed to lend itself to introduction of uncertainty by fuzzy approaches. However as we shall see certain restrictions in the standard DBTG network model severely limited most fuzzy set approaches attempted.
Frederick E. Petry
6. Commercial Applications
Abstract
In the previous chapters presenting fuzzy relational database models and other alternative models, we discussed certain aspects of implementations such as indexing schemes and file structures. However this chapter will focus on the commercialization possibilities of such approaches. In this chapter we will consider the current status of fuzzy databases as commercial products. First, the aspects of commercialization relevant to market issues that will dictate the future potential for fuzzy databases is discussed. Then a survey of the current systems that hold actual commercial or industrial promise are overviewed. The materials describing these systems are taken from various publications as well as product and marketing descriptions of some of these systems.
Frederick E. Petry
Backmatter
Metadaten
Titel
Fuzzy Databases
verfasst von
Frederick E. Petry
Copyright-Jahr
1996
Verlag
Springer US
Electronic ISBN
978-1-4613-1319-9
Print ISBN
978-1-4612-8566-3
DOI
https://doi.org/10.1007/978-1-4613-1319-9