On arithmetic operations of G-number

Heterogeneity in decision making evaluation is inevitable due to different background, preference and experience of decision makers. One aspect of the heterogeneity can be the type of numerical scale used in the evaluation such as crisp, interval, fuzzy and the most recent is the z-number. The calculation will be simpler if these different scales can be represented in a single form. A general form of uncertain number known as granular number or simply denoted as G-number have been introduced to cater the problem. At present, two basic operations, which are the addition and multiplication have been given and implemented in AHP method and Djikstra´s algorithm. Nevertheless, in order to be further useful in some other decision making models, it is essential to introduce the other two arithmetic operations, which are the subtraction and division. In this paper, the negation and the reciprocal of G-number is determined in order to obtain the subtraction and division operations. Some numerical examples and the general formula are given at the end of the paper.