New Neutrosophic Scale System Framework

Abstract

Scaling system can be considered as range-base measurement system, it’s a fatal tool used
in all human activities in daily-bases, also, all business domains and sectors heavily use scaling
systems in all business process specially in decisions-making as one of the main critical business
activities, despite the fact that, there is no scientific base for calculate an unified scale system ranges,
all provided scales or ranges are determined based on expert opinions’, an enhanced scale system
using single-valued neutrosophic set SVNS is offered that suggest a scientific methods for defining
ranges in scaling systems, in addition, a new crisp value functions “De-neutrosophication†for
converting both Simplified Neutrosophic Number SNN, and SVNS to them equivalent crisp values
using distance measure based on Euclidean space are proposed, Finally, the offered framework and
methods are implemented with numerical examples for best prove and validate of the framework
and proposed methods.