Table 1 Notation.

From: Incremental high average-utility itemset mining: survey and challenges

Notation

Meaning

I

A set of m items,I = {i1, i2, …, im}, where each item ij has a profit value pj

DB

An original quantitative database, DB = {T1, T2, …, Tn}, in which each transaction is a subset of I, with purchase quantities for each item

DBn+

A set of new transactions, DBn = {t1, t2, …, tq}, in which each transaction includes a subset of items, with purchase quantities

TID

Each transaction Tn ∈ D has a unique transaction identifier (TID)

X

A k-itemset containing k distinct items {i1, i2, …, ik}

u(ij, Tp)

The utility of an item ij in a transaction Tp

u(Tp)

The sum of the utilities of items in a transaction Tp

tuDB

The total utility tuDB of a database DB

au(X,Tp)

The average utility of X in Tp

au(X)

The average utility of X in DB

HAUI

High-average-utility Itemset

mu(Tp)

The maximum utility of transaction Tp

auub(ij)

The average-utility upper-bound (AUUB) of item ij

HAUUBIDB

High average-utility upper bound itemset

PAUUBIDB

Pre-large average-utility upper-bound itemset

HAUIUDB

An itemset X is classified as an HAUIUDB in the updated (DB + DBn) database