Algebraic Structures of Interval Sets

Triyani, A Wardayani, S A Larasati

This paper discussed about the algebraic structures of interval sets. Arithmetic operations for interval set are generalizatios of classical arithmetic whose definition is based on the set of all closed intervals. The properties of the arithmetic operations for interval sets hold associative and commutative law. For any interval sets, scalar multiplication satisfies distributive over addition. Addition and multiplication of the interval set also has an identity element [13]. The research showed that algebraic structures which can be formed by interval set are semigroup, monoid, group, semi-ring and semi-module.

Volume 12 | Issue 6

Pages: 849-853

DOI: 10.5373/JARDCS/V12I6/S20201101