Quadripartitioned single valued neutrosophic refined resolvableand irresolvable spaces

Authors

  • Arokia Pratheesha S V Department of Mathematics,Dr.N.G.P.Arts and Science College, Coimbatore, India.
  • R Radha * Department of Science and Humanities,Karpagam College of Engineering, Coimbatore, India.

https://doi.org/10.48313/uda.v2i4.93

Abstract

In this paper, the concepts of Quadripartitioned Single Valued Neutrosophic Refined resolvable, Quadripartitioned Single Valued Neutrosophic Refined irresolvable,Quadripartitioned Single Valued Neutrosophic Refined open hereditarily irresolvable and maximally Quadripartitioned Single Valued Neutrosophic Refined irresolvable spaces are introduced.Also we examine several properties of the Quadripartitioned Single Valued Neutrosophic Refined open hereditarily irresolvable spaces besides giving characterization of these spaces by means of somewhat Quadripartitioned Single Valued Neutrosophic Refined continuous functions and somewhat Quadripartitioned Single Valued Neutrosophic Refined open functions.

Keywords:

Quadripartitioned single valued neutrosophic refined resolvable, Quadripartitioned single valued neutrosophic refined open hereditarily irresolvable, somewhat Quadripartitioned Single Valued Neutrosophic Refined continuous functions and somewhat quadripartitioned single valued neutrosophic refined open functions

References

  1. [1] Atanasov K.T, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems.20 (1986),87-96.
  2. [2] Arokia pratheesha S.V, Mohana.K,” Quadripartitioned Single Valued Neutrosophic Refined Sets and Its Topological
  3. [3] Spaces,”International journal of creative research thoughts(IJCRT),Vol 10, Issue 3 (Mar 2022), pp-d937-d948.
  4. [4] M.Caldas, R.Dhavaseelan, M.Ganster and S.jafari, Neutrosophic Resolvable and irresolavble,New trends in Theory and Applications,
  5. [5] volume II,327-335.
  6. [6] Dhavaseelan R,E.Roja and Uma M K,Intuitionistic fuzzy resolvable and intuitionistic fuzzy irresolvable spaces,Scientia Magna,7,59-
  7. [7] A. Gelkin, Ultrafilters and decomposable spaces, Vestnik. Mosk. Univ. Math.,24(5), 51 (1969).
  8. [8] E. Hewit, A Problem in set Theoretic Topology, Duke, Math. Journal, 10,309-333 (1943).
  9. [9] Mohanasundari M,Mohana K,Quadripartitioned Neutrosophic Mappings with its relation and Quadripartitioned Neutrosophic
  10. [10] Topology,International Journal of Mathematics and its applications,9,1,(2021),83-93.
  11. [11] Rajashi chatterjee,P.Majumdar and S>K.Samanta, On some similarity measures and entropy on quadripartitioned single valued
  12. [12] neutroosphic sets,Journal of Intelligent Fuzzy systems 30(2016) 2475-2485.
  13. [13] F.Smarandache, A unifying Field in Logics.Neutrosophy: Neutrosophic Probability,Set and Logic,Rehoboth:American Research
  14. [14] press (1998).
  15. [15] F.Smarandache,n-valued Refined Neutrosophic Logic and its Applications in Physics,Progress in Physics,143-146,Vol.4,2013.
  16. [16] G.Thangaraj and Balasubramanian G,On fuzzy resolvable and fuzzy irresolvable spaces.Fuzzy Sets Rough Sets and Multivalued
  17. [17] Operations and Applications,1(2),173-180
  18. [18] Wang H, Smarandache F, Zhang YQ, Sunderraman R, Single valued neutrosophicsets, MultispaceMultistruct4.,(2010),410-413.
  19. [19] Ye,J.Ye, Dice similarity measure between single valued neutrosophic multisets and its application in medical diagnosis,
  20. [20] Neutrosophic Sets and Systems 6(2014) 48-52.
  21. [21] L.A. Zadeh, Fuzzy Sets, Inform and Control,8(1965) 338-353.

Published

2025-12-26

Issue

Vol. 2 No. 4 (2025): Uncertainty Discourse and Applications

Section

Articles

How to Cite

Pratheesha S V, A., & Radha, R. (2025). Quadripartitioned single valued neutrosophic refined resolvableand irresolvable spaces. Uncertainty Discourse and Applications, 2(4), 342-348. https://doi.org/10.48313/uda.v2i4.93