Pythagorean Neutrosophic Pre-Open Sets

Authors

  • Carlos Granados Corporacion Universitaria Latinoamericana

Keywords:

Pythagorean neutrosophic pre-homeomorphism, Pythagorean neu- trosophic pre-continuous function, Pythagorean neutosophic pre-open function, Pythagorean neutrosophic pre-open sets

Abstract

The purpose of this paper is to introduce and study the notion of Pythagorean neutrosophic pre-open sets by using the notion of Pythagorean neutrosophic open set. Besides, we define the concepts of Pythagorean neutrosophic pre-open function, Pythagorean neutrosophic pre-continuous function, and Pythagorean neutrosophic pre-homeomorphism. Moreover, some of their properties are proved.

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References

I. Arockiarani, R. Dhavaseelan, S. Jafari, M. Parimala. On some notations and functions in neutrosophic topo- logical spaces, Neutrosophic sets and Systems, 16, 16{19, 2017.

K. Atannasov. Intuitionistic fuzzy sets, Fuzzy sets and Systems, 20(1), 87{96, 1965.

K. Atannasov. Intuitionistic fuzzy sets, Springer Physica-Verlag, Heidelberg, 1999.

V. Banu, S. Chandrasekar. Neutrosophic gs Continuity And Neutrosophic gs Irresolute Maps, Neutrosophic sets and Systems, 27, 163{170, 2019.

C. Chang. Fuzzy topological spaces, J. Math. Anal Appl., 24(1), 182{190, 1968.

R. Jansi, K. Mohana, F. Smarandache. Correlation Measure for Pythagorean Neutrosophic Sets with T and F as Dependent Neutrosophic Components, Neutrosophic sets and Systems, 30, 202{212, 2019.

T. Sneha, F. Nirmala .Pythagorean neutrosophic b-open and semi-open sets in Pythagorean neutrosophic topo- logical spaces, Infokara Research, 9(1), 860{872, 2020.

A. Salama, S. Albowi. Neutrosophic set and Nutrosophic topological spaces, IOSR Jouranl of Mathematics, 3(4), 31{35, 2012.

F. Smarandache. A unifying eld in logics-neotrusophic: Neutrosophic probability, set and logic, Rehoboth: American Research Press, 1999.

Z. Xu, R. Yagar. Some geometric aggregation operations based on intuitionistic fuzzy sets , Int. J. Gen. Syst., 35, 417{433, 2006.

R. Yager, A. Abbasov. Pythagorean membership grades, complex numbers and decision making, Int. J. Intell. Syst., 28, 436{452, 2013. [12] L. Zadeh. Fuzzy sets, Inform and control, 8, 1965.

Published

2020-08-31

How to Cite

Carlos Granados. (2020). Pythagorean Neutrosophic Pre-Open Sets. MathLAB Journal, 6, 65-74. Retrieved from https://purkh.com/index.php/mathlab/article/view/857

Issue

Section

Research Articles