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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 31 | Number 1 | Year 2016 | Article Id. IJMTT-V31P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V31P505

Rank correlation between Two Interval Valued Intuitionistic fuzzy Sets


Dr. Mary JansiRani, S. RethinaKumar, K.Abinaya Priya, J. Princivishvamalar
Abstract

In this paper we investigated the correlation between two interval valued intuitionistic fuzzy sets defined on the same universal support. It is shown that Spearman’s rank correlation coefficient can be applied in the members of the supports are ranked according to the interval valued intuitionistic fuzzy membership and nonmembership values of each set. Next a membership and non-membership value–basedinterval valued intuitionistic fuzzy rank correlation measure is proposed and its example arederived.

Keywords
Correlation, Random variable,Spearman’s Rank correlation,Interval valued Intuitionistic fuzzy sets.
References

[1] K. Atanassov, Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia, 1983.
[2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986) 87-96.
[3]On correlation between two fuzzy sets, B.B.Chaudhuri ,A.Bhattacharya 1998 [4] Rank correlation between two intuitionistic fuzzy set , Dr. Mary Jansi Rani & S.Rethinakumar (International Journal of engineering and Technology- communicated)
[5] K. De Supriya, R. Biswas, A. R. Roy, Some operations on intuitionistic fuzzy sets, FuzzySets and Systems 114 (2000) 477- 484.
[6] D. Dubois, H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York, 1980.
[7] A.M. Goon, M.K. Gupta, D. Dasgupta, Fundamentals of Statistics, vol. 1, The World Press Private Limited, India, 1985.
[8] A. Kendal, Fuzzy Mathematical Techniques with Applications, Addison-Wesley, Reading, MA, 1986.
[9] C.A. Murthy, S.K. Pal, D. DuttaMajumder, Correlation between two fuzzy membership functions, Fuzzy Sets and Systems 17 (1985) 23–38.

Citation :

Dr. Mary JansiRani, S. RethinaKumar, K.Abinaya Priya, J. Princivishvamalar, "Rank correlation between Two Interval Valued Intuitionistic fuzzy Sets," International Journal of Mathematics Trends and Technology (IJMTT), vol. 31, no. 1, pp. 13-18, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V31P505

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