A Comparative Analysis on Geometric 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/IJSRSET1384150

Keywords:

Intuitionistic Fuzzy set (IFS), Interval – Valued Intuitionistic Fuzzy sets (IVIFS), Geometric distance measure(dG(A,B))

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 (IVIFS) 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 Geometric 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. 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

2019-04-30

Issue

Volume 6, Issue 2, March-April-2019

Section

Research Articles

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How to Cite

[1]
A. Manonmani, M. Suganya, " A Comparative Analysis on Geometric 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 6, Issue 2, pp.485-491, March-April-2019. Available at doi : https://doi.org/10.32628/IJSRSET1384150