The generalized division of intervals in algebraic operations and their applications

Abstract

This paper investigates the generalized division of closed and bounded intervals in algebraic operations and its applications. On generalized difference (gH-difference) and generalized division (g-division), some basic properties of g-division and gH-difference are detailed. Besides, some illustrative examples related to the properties of g-division are presented. These results used in manufacturing industry are discussed, where the steel blending problem can be regarded as an interval fractional programming problem with inequality constraints are formulated. These results have not been reported in previous studies.