A Comparative Analysis on Euclidean Measure In Intuitionistic Fuzzy Set And Interval-Valued Intuitionistic Fuzzy Set

Authors

  • A. Manonmani  Assistant Professor, LRG Govt Arts College for Women, Tirupur, Tamilnadu, India
  • M. Suganya  Assistant Professor, St.Joseph’s College for Women, Kangeyam Road, Tirupur, Tamilnadu, India

DOI:

https://doi.org//10.32628/18410IJSRSET

Keywords:

Single Valued Neutrosophic Set (SVNS), Interval Neutrosophic Set (INS), Euclidean Distance.

Abstract

Intuitionistic Fuzzy set (IFS) was proposed in early 80™s. It is a well known theory. As a developer in Fuzzy Mathematics, interval“ valued Intuitionistic Fuzzy sets (IVFS) were developed afterwards by Gargo and Atanssov. It has a wide range of applications in the field of Optimization and algebra. There are many distance measure in Fuzzy such as Hamming, Normalized Hamming, Euclidean, Normalized Euclidean, Geometric, Normalized Geometric etc¦ to calculate the distance between two fuzzy numbers. In this paper, the comparison between Euclidean distance measure in Intuitionistic Fuzzy set and interval “ valued Intuitionistic Fuzzy sets is explored. The step-wise conservation of Intuitionistic Fuzzy set and interval “ valued Intuitionistic Fuzzy sets is also proposed. A real life application for this comparison is explained briefly. This type of comparative analysis shows that the distance between Intuitionistic Fuzzy set and interval“ valued Intuitionistic Fuzzy sets varies slightly due to boundaries of interval “ valued Intuitionistic Fuzzy sets.<

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2018-09-30

Issue

Volume 4, Issue 10, September-October-2018

Section

Research Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
A. Manonmani, M. Suganya, " A Comparative Analysis on Euclidean Measure In Intuitionistic Fuzzy Set And Interval-Valued Intuitionistic Fuzzy Set, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 4, Issue 10, pp.191-197, September-October-2018. Available at doi : https://doi.org/10.32628/18410IJSRSET