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.

引用

页码：414 / 425

页数：11

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