Volume 67 | Issue 10 | Year 2021 | Article Id. IJMTT-V67I10P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I10P505
The concept of the double-framed fuzzy multi group offers a useful technique for real life transportation problems. This special phenomenon is used to model the structure of the controlling an intersection of two-way sheets. In this paper, we study the concept of double-framed fuzzy multi group structures, double-framed fuzzy multi cossets and double-framed multi normal subgroup structures. Finally, we define double-framed fuzzy multi homomorphism between any two double-framed fuzzy multi groups and establish some important properties of this phenomenon.
[1] K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems., 20(1) (1986) 87-96.
[2] A. Baby,T.K.Shinojand J.J.Sunil, On abelian fuzzy multigroups and order of fuzzy multigroups, J. New Theory, 5(2) (2015) 80–93.
[3] S. Miyamoto, Basic operations of fuzzy multisets, J.JapanSoci. Fuzzy Theory Systems, 8(4) (1996) 639–645.
[4] J.M.Mordeson,K.R.Bhutaniand A.Rosenfeld, Fuzzy group theory, SpringerVerlag Berlin Heidelberg, (2005).
[5] Sk.Nazmul, P.Majumdar and S.K.Samanta, On multisets and multigroups, Ann. Fuzzy Math. Inform., 6(3) (2013)643–656.
[6] R.Nagarajan, Fermatean fuzzy multigroup over multi homomorphisms, International journal of Computer Science Engineering andTechnology, 11 (2021), 18-22.
[7] A.Rosenfeld, Fuzzy subgroups, J.Mathl. Analy. Appl., 35(1971)512-517.
[8] T.K.Shinoj, A.Baby and J.J.Sunil, On some algebraic structures of fuzzy multisets, Ann. Fuzzy Math. Inform., 9(1) (2015) 77-90.
[9] Yager.R.R., Pythagorean uncertainty subsets, In Proceedings Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada, (2013) 57–61.
[10] Yager.R.R., Pythagorean membership grades in multi criteria decision making, IEEE Transactions on Fuzzy Systems, 22 (2014) 958–965.
[11] Yager.R.Rand Abbasov.A.M., Pythagorean membership grades, complex numbers, and decision making, International Journal of Intelligent Systems, 28 (2013) 436–452.
[12] L.A.Zadeh, Fuzzy sets, Information and Control, 8(1965) 338 – 353.
G.Rethnarexlin, G.Subbiah, V.Nagarajan, "Average Operator of Double-Framed Fuzzy Multicossets," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 10, pp. 59-66, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I10P505