On bipolar-valued fuzzy quasi-semiprime ideals of LA-semigroups

被引：0
|
作者：
Yiarayong, Pairote [1 ]
机构：
[1] Pibulsongkram Rajabhat Univ, Dept Math, Fac Sci & Technol, Phitsanulok 65000, Thailand
来源：
AFRIKA MATEMATIKA | 2022年 / 33卷 / 03期
关键词：
Fuzzy set; Bipolar-valued fuzzy sets; Bipolar-valued fuzzy ideal; Bipolar-valued fuzzy quasi-semiprime ideal; LA-semigroup; ABEL GRASSMANNS GROUPOIDS;
D O I：
10.1007/s13370-022-01009-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to apply bipolar-valued fuzzy sets in LA-semigroup theory. We introduce the concept of bipolar-valued fuzzy quasi-semiprime and bipolar-valued fuzzy semiprime ideals in LA-semigroups. In addition, we also characterize bipolar-valued fuzzy quasi-semiprime ideal by the properties of these bipolar-valued fuzzy points. Moreover, we investigated relationships between bipolar-valued fuzzy quasi-semiprime ideals and bipolarvalued fuzzy semiprime ideals. Finally, several characterizations of bipolar-valued fuzzy quasi-semiprime ideal by the properties of (t, t)-cut sets are given.
引用
收藏
页数：19
相关论文
共 50 条
  • [21] Intuitionistic fuzzy semiprime ideals in ordered semigroups
    Khan A.
    Shabir M.
    Russian Mathematics, 2010, 54 (5) : 56 - 67
  • [22] ON GENERALIZED INTERVAL VALUED FUZZY QUASI-IDEALS OF SEMIGROUPS
    Gaketem, T.
    Siripitukdet, M.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2022, 12 (02): : 524 - 535
  • [23] ON INTERVAL VALUED FUZZY BI-QUASI IDEALS IN SEMIGROUPS
    Gaketem, Thiti
    Prommai, Tanaphong
    MISSOURI JOURNAL OF MATHEMATICAL SCIENCES, 2023, 35 (02) : 221 - 231
  • [24] Bipolar-Valued Intuitionistic Fuzzy Positive Implicative Ideals in BC/C-Algebras
    Ramesh, D.
    Baji, Shake
    Iampan, Aiyared
    Prasad, R. Durga
    Satyanarayana, B.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (01):
  • [25] Ordered LA-groups and ideals in ordered LA-semigroups
    Kausar, Nasreen
    Munir, Mohammad
    Gulzar, Muhammad
    Alesemi, Meshari
    Salahuddin
    Italian Journal of Pure and Applied Mathematics, 2020, 44 : 723 - 730
  • [26] Ordered LA-groups and ideals in ordered LA-semigroups
    Kausar, Nasreen
    Munir, Mohammad
    Gulzar, Muhammad
    Alesemi, Meshari
    Salahuddin
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (44): : 723 - 730
  • [27] Fuzzy Bipolar Soft Quasi-ideals in Ordered Semigroups
    Aziz-Ul-Hakim
    Khan, Hidayatullah
    Ahmad, Imtiaz
    Khan, Asghar
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2022, 54 (06): : 375 - 409
  • [28] Characterization of regular LA-semigroups by interval-valued ((alpha)over-bar,(beta)over-bar)-fuzzy ideals
    Aslam, Muhammad
    Abdullah, Saleem
    Aslam, Samreen
    AFRIKA MATEMATIKA, 2014, 25 (03) : 501 - 518
  • [29] Properties of bipolar-valued fuzzy subsemigroups of a semigroup
    Anitha, M. S.
    Yasodara, B.
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2019, 22 (05): : 711 - 717
  • [30] Hesitant bipolar-valued fuzzy sets and bipolar-valued hesitant fuzzy sets and their applications in multi-attribute group decision making
    Prasenjit Mandal
    A. S. Ranadive
    Granular Computing, 2019, 4 : 559 - 583
12345