Baire Spaces on Fuzzy Neutrosophic Topological Spaces

被引：0
作者：
Poongothai E. [1 ]
Padmavathi E. [1 ]
机构：
[1] Department of Mathematics, Shanmuga Industries of Arts and Science college, Tamil Nadu, Tiruvannamalai
来源：
Neutrosophic Sets and Systems | 2022年 / 51卷
关键词：
Fy. neutrosophic baire spaces; Fy. neutrosophic dense set; Fy. neutrosophic nowh. dense set; Fy. neutrosophic one and two category; Fy. neutrosophic re. set;
D O I：
10.5281/zenodo.7135403
中图分类号：
O144 [集合论]; O157 [组合数学（组合学）];
学科分类号：
070104 ;
摘要：
In this paper a property which can be used to Baire spaces in fy. neutrosophic top. Spaces (simply as fy. – fuzzy, top. – topological) are introduced and studied. For this purpose, introduced fy. neutrosophic Fσ set, fy. neutrosophic Fδ set, fy. neutrosophic dense, fy. neutrosophic nowh. (Simply as nowh. - nowhere) dense, fy. neutrosophic one (one denotes first) category, fy. neutrosophic two (two denotes second) category and fy. neutrosophic re. (Simply as re. – residual) set are defined. Also, some characterizations about these concepts are obtained. © 2022,Neutrosophic Sets and Systems. All Rights Reserved.
引用
收藏
页码：708 / 723
页数：15
相关论文
共 10 条
  • [1] Arockiarani I., Martina Jency J., More on Fuzzy Neutrosophic Sets and Fuzzy Neutrosophic Topological Spaces, International Journal of Innovative Research & Studies, 3, 5, pp. 643-652, (2014)
  • [2] Arockiarani I., Sumathi I.R., Martina Jency J., Fuzzy Neutrosophic Soft Topological Spaces, International Journal of Mathematical archives, 4, 10, pp. 225-238, (2013)
  • [3] Chang C., Fy. Top. Spaces, J.Math.Ana.Appl, 24, pp. 182-190, (1968)
  • [4] Salama A.A., Alblowi S.A., Neutrosophic Sets and Neutrosophic Topological Spaces, IOSR Journal of Mathematics, 3, 4, (2012)
  • [5] Salama A.A., Generalized, Neutrosophic Set and Generalized Neutrosophic Topological Spaces, Computer Science and Engineering, 2, 7, pp. 129-132, (2012)
  • [6] Smarandache F., Set Neutrosophic, A Generalization of the Intuitionistic Fuzzy Sets, Inter.J.Pure Appl.Math, 24, pp. 287-297, (2005)
  • [7] Thangaraj G., Poongothai E., On Fuzzy Baire Spaces, J. Fuzzy Math. And Systems, 3, 4, pp. 275-283, (2013)
  • [8] Turksen I., Interval-valued fuzzy sets based on normal form, Fuzzy Sets and Systems, 20, pp. 191-210, (1986)
  • [9] Veereswari V., An Introduction to Fy. Neutrosophic Top. spaces, IJMA, 8, 3, pp. 144-149, (2017)
  • [10] Zadeh L.A., Fy. sets, Information and control, 8, pp. 338-353, (1965)
1