Some Weaker Forms of Bipolar Neutrosophic Nano * Open Sets

被引：0
作者：
Gincy G. [1 ]
Omeri W.F.A. [2 ]
Janaki C. [3 ]
机构：
[1] Research Scholar, Department of Mathematics, L.R.G. Government Arts College for Women, Tamil Nadu, Tirupur
[2] Mathematics Department, Faculty of Science, Jadara University, Irbid
[3] Department of Mathematics, L.R.G. Government Arts College for Women, Tirupur, Tamil Nadu
来源：
Neutrosophic Sets and Systems | 2023年 / 61卷
关键词：
Bipolar Neutrosophic nano topology; Bipolar Neutrosophic nano* topology; Bipolar Neutrosophic set; Nano topology; Neutrosophic set;
D O I：
10.5281/zenodo.10433736
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, the weaker forms of open sets in Bipolar Neutrosophic Nano* (BNN*) topology are studied. This topology is defined on a space of bipolar neutrosophic sets with respect to the lower, upper, boundary approximations and the union and intersection of lower and boundary approximations with maximum of 7 elements. The sets BNNq* -Preopen, BNNQ* - Semi open, BNNQ* - Regular open, BNNQ * - α - open and BNNQ * - β - open sets are introduced and their properties are investigated in the corresponding topology in detail and the relationships between them are shown diagrammatically. We proved that, in a BNN* - topological space (U,tr (Q)), the BNNQ * - open sets of U and for bipolar neutrosophic sets E BN (Q) with BNNq*c1(bN * (Q)) = 1BNN* are the only BNNQ * - α - open sets in U and also the intersection of any two BNNQ * - α - open sets is BNNQ * - α - open set in (U, τ rBNN (Q)). Moreover it is shown that, in U the BNNq * - open sets 0BNN*, 1bnn*, Bbn* (Q),BNi* (Q) and BN* (Q) with BNNq*c1(bN* (Q))=(BN2* (Q))c are the only BNNq * - Regular open sets in U. © (2023), (University of New Mexico). All Rights Reserved.
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页码：414 / 425
页数：11
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