Binary Bipolar Soft Points and Topology on Binary Bipolar Soft Sets with Their Symmetric Properties

被引：0
|
作者：
Saleh, Hind Y. [1 ]
Salih, Areen A. [2 ]
Asaad, Baravan A. [3 ,4 ]
Mohammed, Ramadhan A. [1 ]
机构：
[1] Univ Duhok, Coll Basic Educ, Dept Math, Duhok 42001, Iraq
[2] Univ Mosul, Coll Comp Sci & Math, Dept Math, Mosul 41001, Iraq
[3] Cihan Univ Duhok, Coll Sci, Dept Comp Sci, Duhok 42001, Iraq
[4] Univ Zakho, Fac Sci, Dept Math, Zakho 42002, Iraq
来源：
SYMMETRY-BASEL | 2024年 / 16卷 / 01期
关键词：
binary bipolar soft set; binary bipolar soft point; binary bipolar soft topology; binary bipolar soft closure; binary bipolar soft interior;
D O I：
10.3390/sym16010023
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The aim of this paper is to give an interesting connection between two mathematical approaches to vagueness: binary bipolar soft sets and binary bipolar soft topology. The binary bipolar soft points are defined using binary bipolar soft sets. The binary bipolar soft set will be the binary bipolar soft union of its binary bipolar soft points. Moreover, the notion of binary bipolar soft topological spaces over two universal sets and a parameter set is proposed. Some topological properties of binary bipolar soft sets, such as binary bipolar soft open, binary bipolar soft closed, binary bipolar soft closure, binary bipolar soft interior, and binary bipolar soft boundary, are introduced. Some important properties of these classes of binary bipolar soft sets are investigated. Furthermore, the symmetry relation is compared between binary bipolar soft topology and binary soft topology on a common universe set. Finally, some results and counterexamples are demonstrated to explain this work.
引用
收藏
页数：18
相关论文
共 50 条
  • [41] Application of bipolar intuitionistic fuzzy soft sets in decision making problem
    Jana C.
    Pal M.
    International Journal of Fuzzy System Applications, 2018, 7 (03): : 32 - 55
  • [42] A Novel Approach Toward Roughness of Bipolar Soft Sets and Their Applications in MCGDM
    Gul, Rizwan
    Shabir, Muhammad
    Naz, Munazza
    Aslam, Muhammad
    IEEE ACCESS, 2021, 9 (09): : 135102 - 135120
  • [43] Bipolar fuzzy soft sets and its applications in decision making problem
    Abdullah, Saleem
    Aslam, Muhammad
    Ullah, Kifayat
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 27 (02) : 729 - 742
  • [44] A study of bipolar fuzzy parameterized soft sets and their application in decision making
    Farwa, Shabieh
    Kamran, Muhammad
    Sarwar, Sundas
    Kazmi, Maedah
    Ahmad, Hijaz
    Gepreel, Khaled A.
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 41 (02) : 2813 - 2821
  • [45] Baire Category Soft Sets and Their Symmetric Local Properties
    Ameen, Zanyar A.
    Alqahtani, Mesfer H.
    SYMMETRY-BASEL, 2023, 15 (10):
  • [46] Normal Bipolar Soft Subgroups
    Karaaslan, Faruk
    Ullah, Aman
    Ahmad, Imtiaz
    FUZZY INFORMATION AND ENGINEERING, 2021, 13 (01) : 79 - 98
  • [47] Bipolar Soft Topological Spaces
    Fadel, Asmaa
    Dzul-Kifli, Syahida Che
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, 13 (02): : 227 - 245
  • [48] BIPOLAR SOFT ROUGH RELATIONS
    Karaaslan, Faruk
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2016, 65 (01): : 105 - 126
  • [49] A mathematical model to the inadequacy of bipolar soft sets in uncertainty environment: N-polar soft set
    Naime Demirtaş
    Orhan Dalkılıç
    Muhammad Riaz
    Computational and Applied Mathematics, 2022, 41
  • [50] A mathematical model to the inadequacy of bipolar soft sets in uncertainty environment: N-polar soft set
    Demirtas, Naime
    Dalkilic, Orhan
    Riaz, Muhammad
    COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (01):
12345