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## On Distances and Similarity Measures between Two Interval Neutrosophic Sets

#### Sudip BHATTACHARYYA [1] , Bikas Koli ROY [2] , Pinaki MAJUMDAR [3]

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.

Interval Neutrosophic Set, Distance, Similarity Measure, Multicriteria Decision Making
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Journal Section Research Article Author: Sudip BHATTACHARYYA Author: Bikas Koli ROY Author: Pinaki MAJUMDAR Publication Date : January 14, 2018
 Bibtex @research article { jnt385395, journal = {Journal of New Theory}, issn = {2149-1402}, eissn = {2149-1402}, address = {Mathematics Department, Gaziosmanpasa University 60250 Tokat-TURKEY.}, publisher = {Gaziosmanpasa University}, year = {2018}, volume = {}, pages = {27 - 47}, doi = {}, title = {On Distances and Similarity Measures between Two Interval Neutrosophic Sets}, key = {cite}, author = {BHATTACHARYYA, Sudip and ROY, Bikas Koli and MAJUMDAR, Pinaki} } APA BHATTACHARYYA, S , ROY, B , MAJUMDAR, P . (2018). On Distances and Similarity Measures between Two Interval Neutrosophic Sets. Journal of New Theory , (20) , 27-47 . Retrieved from https://dergipark.org.tr/en/pub/jnt/issue/34781/385395 MLA BHATTACHARYYA, S , ROY, B , MAJUMDAR, P . "On Distances and Similarity Measures between Two Interval Neutrosophic Sets". Journal of New Theory (2018 ): 27-47 Chicago BHATTACHARYYA, S , ROY, B , MAJUMDAR, P . "On Distances and Similarity Measures between Two Interval Neutrosophic Sets". Journal of New Theory (2018 ): 27-47 RIS TY - JOUR T1 - On Distances and Similarity Measures between Two Interval Neutrosophic Sets AU - Sudip BHATTACHARYYA , Bikas Koli ROY , Pinaki MAJUMDAR Y1 - 2018 PY - 2018 N1 - DO - T2 - Journal of New Theory JF - Journal JO - JOR SP - 27 EP - 47 VL - IS - 20 SN - 2149-1402-2149-1402 M3 - UR - Y2 - 2020 ER - EndNote %0 Journal of New Theory On Distances and Similarity Measures between Two Interval Neutrosophic Sets %A Sudip BHATTACHARYYA , Bikas Koli ROY , Pinaki MAJUMDAR %T On Distances and Similarity Measures between Two Interval Neutrosophic Sets %D 2018 %J Journal of New Theory %P 2149-1402-2149-1402 %V %N 20 %R %U ISNAD BHATTACHARYYA, Sudip , ROY, Bikas Koli , MAJUMDAR, Pinaki . "On Distances and Similarity Measures between Two Interval Neutrosophic Sets". Journal of New Theory / 20 (January 2018): 27-47 . AMA BHATTACHARYYA S , ROY B , MAJUMDAR P . On Distances and Similarity Measures between Two Interval Neutrosophic Sets. JNT. 2018; (20): 27-47. Vancouver BHATTACHARYYA S , ROY B , MAJUMDAR P . On Distances and Similarity Measures between Two Interval Neutrosophic Sets. Journal of New Theory. 2018; (20): 47-27.

Authors of the Article
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