Some Types of σ-filters in BL-algebras

被引：0
|
作者：
Parvizi, Zahra [1 ]
Motamed, Somayeh [2 ]
Haghani, Farhad Khaksar [1 ]
机构：
[1] Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran
[2] Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran
来源：
Journal of Applied Logics | 2024年 / 11卷 / 05期
关键词：
Bandpass filters - Boolean algebra - Wiener filtering;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we define σ-normal filters, σ-fantastic filters, σ-obstinate filters, σ-integral filters, σ-semi-integral filters in BL-algebras, then we state and prove some theorems to characterize these concepts. In this paper, we begin an algebraic investigation of new types of σ-filters in BL-algebras; which contains definitions, and their relationship. Finally, equivalent conditions are provided for easier study of these types of filters in BL-algebras and some important classes of BL-algebras and their connections are presented. © 2024, College Publications. All rights reserved.
引用
收藏
页码：595 / 614
相关论文
共 50 条
  • [21] Generalized fuzzy filters of BL-algebras
    Ma X.
    Zhan J.
    Xu Y.
    Applied Mathematics-A Journal of Chinese Universities, 2007, 22 (4) : 490 - 496
  • [22] On fuzzy filters of pseudo BL-algebras
    Wang, Wei
    Xin, Xiao-long
    FUZZY SETS AND SYSTEMS, 2011, 162 (01) : 27 - 38
  • [23] The Measure of Fuzzy Filters on BL-Algebras
    Zhu, Xiang
    Md Johar, Md Gapar
    Raya, Lilysuriazna Binti
    Liao, Zu-hua
    ADVANCES IN FUZZY SYSTEMS, 2019, 2019
  • [24] Neutrosophic deductive filters on BL-algebras
    Borzooei, R. A.
    Farahani, H.
    Moniri, M.
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (06) : 2993 - 3004
  • [25] ON (∈,∈ ∨q)-FUZZY FILTERS OF BL-ALGEBRAS
    Xueling MA Jianming ZHAN Department of Mathematics Hubei Institute for Nationalities Enshi China
    Journal of Systems Science and Complexity, 2008, 21 (01) : 144 - 158
  • [26] New representation for filters of BL-algebras
    Khorami, R. Tayebi
    Saeid, A. Borumand
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2012, 23 (05) : 225 - 235
  • [27] On (∈, ∈ Vq)-fuzzy filters of BL-algebras
    Ma, Xueling
    Zhan, Jianming
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2008, 21 (01) : 144 - 158
  • [28] Some results in BL-algebras
    Saeid, Arsham Borumand
    Motamed, Somayeh
    MATHEMATICAL LOGIC QUARTERLY, 2009, 55 (06) : 649 - 658
  • [29] New Types of Derivations in BL-Algebras
    Motamed, Somayeh
    Ehterami, Samira
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2020, 16 (03) : 627 - 643
  • [30] New Types of Derivations in BL-Algebras
    Motamed, Somayeh
    Ehterami, Samira
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2020, 16 (02) : 419 - 435
12345