Various Distance Measures on Pythagorean Vague Sets

S.Vinnarasi ¹ , F. Nirmala Irudayam²

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.244-247, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.244247

Online published on Dec 31, 2018

Copyright © S.Vinnarasi, F. Nirmala Irudayam . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

487 Views    211 Downloads    168 Downloads

Abstract :
In this paper, we introduced and study a new concept of Pythagorean vague sets and deduce some of its properties. Based on these definition varies form of Pythagorean vague distances are proposed and studied with suitable illustration.

Key-Words / Index Term :
In Pythagorean vague Sets, Hamming Pythagorean Vague Measures, Normalized Hamming Pythagorean Vague Measures, Euclidean Pythagorean Vague Measures, Normalized Euclidean Pythagorean Vague Measures

References :
[1] K. Atanassov, “ Intuitionistic fuzzy sets”, VII ITKR`s Session, Sofia (September, 1983) (in Bugaria).
[2] Chang.C.L, “Fuzzy topological spaces”, Journal of Mathematical Analysis and Applications, 24(1968), 182- 190.
[3] Eulalia Szmidt and Jamuz Kacprzyk , “On Measuring Distance Between Intuitionistic Fuzzy Sets”, Fuzzy Sets and Systems, 111,505-518.
[4] Khaista Rahman , Asad Ali., Muhammad Sajjiad Ali Khan , “Some Interval Valued Pythagorean Fuzzy Weighted Averaging Aggregation Operators and their Application to Multiple Attribute Decision Making” , Journal of Mathematics, 50(2), pp-113-129.
[5] W.L. Gau and D.J. Buehrer, “Vague sets”, IEEE Transactions on Systems, Man and Cybernetics, 23, N0.20(1993), 610-614.
[6] Yager RR. “Pythagorean fuzzy subsets”, In: Proc Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada; 2013. pp 57–61.
[7] Yager RR, Abbasov AM. “Pythagorean membership grades, complex numbers, and decision making” , Int J Intell Syst 2013;28:436–452.
[8] Yager RR. “Pythagorean membership grades in multi-criteria decision making”, IEEE Trans Fuzzy Syst 2014;22:958–965.
[9] Xunjie Gou, Zeshui Xu, Peijia Ren , “The properties of continuous Pythagorean fuzzy information”, Int J Intell Syst (2016) vol 31, pp-401-424.
[10] Xindong peng and Yong Yang , “Some Results for Pythagorean Fuzzy Sets”, Int J Intell Syst (2015), vol-30, pp-1133-1160.
[11] L.A. Zadeh, “Fuzzy sets”, Information and Control, 8, (1965), 338-353.
[12] Z.S .Xu and R.R, Yagar , “Some geomentric aggregation operators based on intuitionistic fuzzy sets”, Int J Gen Syst (2006) 35, 417-433.