Ngpr Homeomorphism in Neutrosophic Topological Spaces

被引:0
作者
Ramesh K. [1 ]
机构
[1] Department of Mathematics, Government Arts College, Udumalpet, 642126, Tamilnadu
关键词
Neutrosophic generalized pre regular closed set; Ngpr closed mappings; Ngpr homeomorphism and Nigpr homeomorphism; Ngpr open mappings;
D O I
10.5281/zenodo.3723135
中图分类号
学科分类号
摘要
As a generalization of Fuzzy sets introduced by Zadeh [21] in 1965 and Intuitionistic Fuzzy sets introduced by Atanassav [8] in 1983, the Neutrosophic set had been introduced and developed by Smarandache. A Neutrosophic set is characterized by a truth value (membership), an indeterminacy value and a falsity value (non-membership). Salama and Alblowi [17] introduced the new concept of neutrosophic topological space (NTS) in 2012, which had been investigated recently. In 2018, Parimala M et al. introduced and studied the concept of Neutrosophic homeomorphism and Neutrosophic αψ; homeomorphism in Neutrosophic topological spaces. The impact of this article is to introduce and study the concepts of Ngpr homeomorphism and Nigpr homeomorphism in Neutrosophic topological space. Further, the work is extended to Ngpr open mappings, Ngpr closed mappings, Nigpr closed mappings and some of their properties are explored in Neutrosophic topological space. © 2020.
引用
收藏
页码:25 / 37
页数:12
相关论文
共 21 条
[1]  
Abdel-Basset M., El-hoseny M., Gamal A., Smarandache F., A novel model for evaluation Hospital medical care systems based on plithogenic sets, Artificial intelligence in medicine, 100, (2019)
[2]  
Abdel-Basset M., Saleh M., Gamal A., Smarandache F., An approach of the TOPSIS technique for developing supplier selection with group decision making under type-2 neutrosophic number, Applied Soft Computing, 77, pp. 438-452, (2019)
[3]  
Abdel-Baset M., Chang V., Gamal A., Smarandache F., An integrated neutrosophic ANP and VIKOR method for achieving sustainable supplier selection: A case study in the importing field, Computers in Industry, 106, pp. 94-110, (2019)
[4]  
Abdel-Basset M., Manogaran G., Gamal A., Smarandache F., A group decision-making framework based on the neutrosophic TOPSIS approach for smart medical device selection, Journal of medical systems, 43, 2, (2019)
[5]  
Abdel-Baset M., Chang V., Gamal A., Evaluation of the green supply chain management practices: A novel neutrosophic approach, Computers in Industry, 108, pp. 210-220, (2019)
[6]  
Abdel-Baset M., Chang V., Gamal A., Evaluation of the green supply chain management practices: A novel neutrosophic approach, Computers in Industry, 108, pp. 210-220, (2019)
[7]  
Arokiarani I, Dhavaseelan R, Jafari S, Parimala M, On Some New Notions and Functions in Neutrosophic Topological spaces, Neutrosophic Sets and Systems, 16, pp. 16-19, (2017)
[8]  
Atanassov K. T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, pp. 87-96, (1986)
[9]  
Chang C. L., Fuzzy topological spaces, J.Math.Anal.AppL, 24, pp. 182-190, (1968)
[10]  
Coker Dogan, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88, 1, pp. 81-89, (1997)