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Uncertain database

Description

An uncertain database is a non-binary database, where an occurrence of an item in a transaction is associated with a probabilistic value that lies between zero and one. The value zero represents the complete non-occurrence of an item, while the value represents the perfect occurrence of an item in a transaction.

Currently, the algorithms in PAMI support the discovery of knowledge hidden in two types of uncertain databases, namely uncertain transactional database and uncertain temporal database. We now describe each of these databases.

Types

1. Uncertain transactional database
2. Uncertain temporal database

Uncertain transactional database

Introduction

An uncertain transactional database consists of a transactional identifier (tid), items, and their occurrence probability value. A sample uncertain transactional database generated from the set of items, I={Bread, Jam, Butter, Pen, Books, Bat}, is shown in below table:

TID	Transactions (items and their prices)
1	(Bread,0.9), (Jam,0.7), (Butter, 0.1)
2	(Bat, 1), (Ball, 0.5)
3	(Pen, 0.2), (Book, 0.5)

Note: The above uncertain database represents an uncertain transactional database. If every transaction in an uncertain database is associated with a timestamp, then we call that database an uncertain temporal database.

Format to create uncertain transactional databases in PAMI

An utility transactional database must exist in the following format:

 itemA<sep>itemB<sep>...<sep>itemN:total probability:probabilityA<sep>probabilityB<sep>...<sep>probabilityN

The ‘total probability’ represents the sum of probabilities of all items in a transaction.

Rules to create a uncertain transactional databases

1. The default separator, i.e., , used in PAMI is tab space (or \t). However, the users can override the default separator with their choice. Since spatial objects, such as Point, Line, and Polygon, are represented using space and comma, usage of tab space facilitates us to effectively distinguish the spatial objects.

2. Items, total probability, and individual probabilities of the items within a transaction have to be seperated by the symbol ‘:’
3. The probability values of an item must be within the range [0,1].

An example of an uncertain transactional database

  Bread   Jam     Butter:1.7:0.9    0.7 0.1

  Bat   Ball:1.5:1  0.5

  Pen   Book:0.7:0.2    0.5 ## Uncertain temporal database ### Introduction An uncertain temporal database consists of a transactional identifier (tid), a timestamp, items, and their occurrence probability value. A sample uncertain temporal database generated from the set of items, I={Bread, Jam, Butter, Pen, Books, Bat}, is shown in below table:

TID	TS	Transactions (items and their prices)
1	1	(Bread,0.9), (Jam,0.7), (Butter, 0.1)
2	4	(Bat, 1), (Ball, 0.5)
3	5	(Pen, 0.2), (Book, 0.5)

Format to create an uncertain temporal databases in PAMI

An utility temporal database must exist in the following format:

 timestamp<sep>itemA<sep>itemB<sep>...<sep>itemN:total probability:probabilityA<sep>probabilityB<sep>...<sep>probabilityN

The ‘total probability’ represents the sum of probabilities of all items in a transaction.

Rules to create an uncertain temporal databases

1. First element in every transaction must be a timestamp.

2. The default separator, i.e., , used in PAMI is tab space (or \t). However, the users can override the default separator with their choice. Since spatial objects, such as Point, Line, and Polygon, are represented using space and comma, usage of tab space facilitates us to effectively distinguish the spatial objects.

3. Items, total probability, and individual probabilities of the items within a transaction have to be seperated by the symbol ‘:’
4. The probability values of an item must be within the range [0,1].

An example of an uncertain temporal database

  1 Bread   Jam     Butter:1.7:0.9    0.7 0.1

  2 Bat   Ball:1.5:1  0.5

  3 Pen   Book:0.7:0.2    0.5