On Distances and Similarity Measures between Two Interval Neutrosophic Sets

Year 2018, Issue: 20, 27 - 47, 14.01.2018

Sudip Bhattacharyya Bikas Koli Roy Pinaki Majumdar

Abstract

An Interval Neutrosophic
set (INS) is an instance of a Neutrosophic set and also an emerging tool for
uncertain data processing in real scientific and engineering applications. In
this paper, several distance and similarity measures between two Interval
Neutrosophic sets have been discussed. Distances and similarities are very
useful techniques to determine interacting segments in a data set. Here we have
also shown an application of our similarity measures in solving a multicriteria
decision making method based on INS’s. Finally, we take an illustrative example
from [14] to apply the proposed decision making method. We use the distance as
well as the similarity measures between each alternative and ideal alternative
to form a ranking order and also to find the best alternative. We compare the
obtained results with the existing result in [14] and also reveal the best
distance and similarity measure to find the best alternative and also point out
the best alternative.

Keywords

Interval Neutrosophic Set, Distance, Similarity Measure, Multicriteria Decision Making

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