Fuzzy (m,n)-Quasi-Hyperideals in Ordered Semihypergroups: A Novel Approach

被引：0
|
作者：
Usmani, Zainab [1 ]
Mahboob, Ahsan [2 ]
Al-Tahan, Madeleine [3 ]
Khan, Mohammad Aasim [1 ]
机构：
[1] Integral Univ, Dept Math & Stat, Lucknow, India
[2] Vignans Fdn Sci Technol & Res, Sch Appl Sci & Humanities, Dept Math & Stat, Guntur 522213, India
[3] Abu Dhabi Univ, Dept Math & Stat, Abu Dhabi, U Arab Emirates
来源：
NEW MATHEMATICS AND NATURAL COMPUTATION | 2024年
关键词：
Ordered semihypergroup; (m; n); quasi-hyperideal; fuzzy; level set; BI-HYPERIDEALS; (M; TERMS;
D O I：
10.1142/S1793005726500328
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper presents a novel methodology for exploring the structure of ordered semihypergroups through the lens of fuzzy logic, with a particular focus on the classification and properties of fuzzy (m,n)-quasi-hyperideals. In this regard, we first explore some properties of (m,n)-quasi-hyperideals of ordered semihypergroups. Then we extend this notion to fuzzy (m,n)-quasi-hyperideals of ordered semihypergroups. More precisely, we investigate their properties, provide nontrivial examples, and connect them to (m,n)-quasi-hyperideals through level sets and characteristic function.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] Structural properties for (m, n)-quasi-hyperideals in ordered semihypergroups
    Mahboob, Ahsan
    Khan, Noor Mohammad
    Davvaz, Bijan
    TBILISI MATHEMATICAL JOURNAL, 2018, 11 (04): : 145 - 163
  • [2] BI-HYPERIDEALS AND QUASI-HYPERIDEALS IN ORDERED SEMIHYPERGROUPS
    Changphas, Thawhat
    Davvaz, Bijan
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, (35): : 493 - 508
  • [3] ON QUASI-HYPERIDEALS IN SEMIHYPERGROUPS
    Hila, Kostaq
    Davvaz, Bijan
    Naka, Krisanthi
    COMMUNICATIONS IN ALGEBRA, 2011, 39 (11) : 4183 - 4194
  • [4] On almost quasi-hyperideals in semihypergroups
    Suebsung, Sudaporn
    Yonthanthum, Winita
    Hila, Kostaq
    Chinram, Ronnason
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2021, 24 (01): : 235 - 244
  • [5] A Study of Generalized Quasi-Hyperideals in Ordered Ternary Semihypergroups
    Abbasi, Mohammad Y.
    Hila, Kostaq
    Khan, Sabahat A.
    Talee, Aakif F.
    THAI JOURNAL OF MATHEMATICS, 2021, 19 (04): : 1585 - 1599
  • [6] (m, n)-Hyperideals in ordered semihypergroups
    Mahboob, A.
    Khan, N. M.
    Davvaz, B.
    CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, 2020, 12 (01) : 43 - 67
  • [7] A study on (fuzzy) quasi-Γ-hyperideals in ordered Γ-semihypergroups
    Tang, Jian
    Davvaz, Bijan
    Xie, Xiangyun
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (06) : 3821 - 3838
  • [8] A novel investigation on fuzzy hyperideals in ordered *-semihypergroups
    Tang, Jian
    Yaqoob, Naveed
    COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (02):
  • [9] Hesitant Fuzzy Hyperideals of Ordered Semihypergroups
    Farooq, Muhammad
    Izhar, Muhammad
    Khan, Asghar
    Hila, Kostaq
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2024, 51 (02): : 416 - 429
  • [10] Multipolar Fuzzy Hyperideals in Ordered Semihypergroups
    Kazanci, Osman
    Hoskova-Mayerova, Sarka
    Davvaz, Bijan
    MATHEMATICS, 2022, 10 (19)
12345