Intuitionistic Fuzzy Soft Boolean Rings

被引:0
|
作者
Rao, Gadde Sambasiva [1 ]
Ramesh, D. [1 ]
Iampan, Aiyared [2 ]
Satyanarayana, B. [3 ]
Rajani, P. [4 ]
机构
[1] Koneru Lakshmaiah Educ Fdn, Coll Engn, Dept Engn Math, Vaddeswaram 522302, Andhra Pradesh, India
[2] Univ Phayao, Sch Sci, Dept Math, 19 Moo 2,Tambon Mae Ka, Phayao 56000, Thailand
[3] Acharya Nagarjuna Univ, Dept Math, Nagarjuna Nagar, Guntur 522510, Andhra Pradesh, India
[4] Seshadri Rao Gudlavalleru Engn Coll, Dept Basic Sci & Humanities, Seshadri Rao Knowledge Village, Gudlavalleru 521356, Andhra Pradesh, India
关键词
Boolean ring (BR); fuzzy soft set (FSS); intuitionistic fuzzy soft set (IFSS); intuitionistic fuzzy soft Boolean ring (IFSBR); intuitionistic fuzzy soft ideal (IFSI);
D O I
10.28924/2291-8639-23-2025-43
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Maji et al. [10] presented the idea of intuitionistic fuzzy soft sets (IFSSs), which build on intuitionistic fuzzy sets (IFSs) and soft sets. In this paper, we extend the notion of IFSs to Boolean rings (BRs). We briefly overview intuitionistic fuzzy soft Boolean rings (IFSBRs) and list some of their fundamental characteristics. We define the intersection, union, AND, and OR operations of IFSBRs. We then present the definitions of IFSIs and consider a few associated findings.
引用
收藏
页数:13
相关论文
共 50 条
  • [1] Intuitionistic fuzzy soft rings and intuitionistic fuzzy soft ideals
    Yang, Cheng-Fu
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (02) : 316 - 326
  • [2] Intuitionistic Fuzzy Soft Rings
    Zhang, Zhiming
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2012, 14 (03) : 420 - 433
  • [3] Fuzzy Soft Boolean Rings
    Rao, Gadde Sambasiva
    Ramesh, D.
    Iampan, Aiyared
    Satyanarayana, B.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
  • [4] Some Properties of Intuitionistic Fuzzy Soft Rings
    Ersoy, B. A.
    Onar, S.
    Hila, K.
    Davvaz, B.
    JOURNAL OF MATHEMATICS, 2013, 2013
  • [5] Intuitionistic Fuzzy Soft Near Rings Induced by (T, S)-norms
    Varol, Banu Pazar
    Aygun, Halis
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2020, 11 (03): : 499 - 512
  • [6] Complex Intuitionistic Fuzzy Rings
    Al Husban, Rima
    Salleh, Abdul Razak
    Ahmad, Abd Ghafur
    INNOVATIONS THROUGH MATHEMATICAL AND STATISTICAL RESEARCH: PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS (ICMSS2016), 2016, 1739
  • [7] Intuitionistic nil radicals of intuitionistic fuzzy ideals and Euclidean intuitionistic fuzzy ideals in rings
    Jun, Young Bae
    Oztuerk, Mehmet Ali
    Park, Chul Hwan
    INFORMATION SCIENCES, 2007, 177 (21) : 4662 - 4677
  • [8] Almost Boolean fuzzy rings
    Alaba, B. A.
    Wondifraw, Y. G.
    7TH INTERNATIONAL CONFERENCE ON APPLIED PHYSICS AND MATHEMATICS (ICAPM 2017), 2017, 814
  • [9] On generalized intuitionistic fuzzy subhyperalgebras of Boolean hyperalgebras
    Hila, Kostaq
    Onar, Serkan
    Ersoy, Bayram Ali
    Davvaz, Bijan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [10] On generalized intuitionistic fuzzy subhyperalgebras of Boolean hyperalgebras
    Kostaq Hila
    Serkan Onar
    Bayram Ali Ersoy
    Bijan Davvaz
    Journal of Inequalities and Applications, 2013