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
  • [1] On product of Fuzzy Semiprime ideals in Gamma -LA-Semigroups
    Yiarayong, Pairote
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2016, 29 (02): : 491 - 502
  • [2] Interval Valued Intuitionistic Fuzzy Ideals of Regular LA-Semigroups
    Yaqoob, Naveed
    THAI JOURNAL OF MATHEMATICS, 2013, 11 (03): : 683 - 695
  • [3] On generalizations of fuzzy quasi-prime ideals in LA-semigroups
    Yiarayong, Pairote
    SOFT COMPUTING, 2020, 24 (03) : 2125 - 2137
  • [4] ON FUZZY PRIMARY AND FUZZY QUASI-PRIMARY IDEALS IN LA-SEMIGROUPS
    Yiarayong, Pairote
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2022, 46 (04): : 617 - 633
  • [5] Fuzzy ideals in right regular LA-semigroups
    Khan, Madad
    Jun, Young Bae
    Yousafzai, Faisal
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (03): : 569 - 586
  • [6] On 2-absorbing bipolar fuzzy ideals over LA-semigroups
    Yiarayong, Pairote
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 41 (02) : 3173 - 3181
  • [7] FUZZY SEMIPRIME QUASI-IDEALS IN SEMIGROUPS
    KUROKI, N
    INFORMATION SCIENCES, 1993, 75 (03) : 201 - 211
  • [8] On generalized fuzzy ideals of ordered LA-semigroups
    Amjad, Venus
    Yousafzai, Faisal
    Iampan, Aiyared
    BOLETIN DE MATEMATICAS, 2015, 22 (01): : 1 - 19
  • [9] Study on Smallest (Fuzzy) Ideals of LA-Semigroups
    Yousafzai, Faisal
    Iampan, Aiyared
    Tang, Jian
    THAI JOURNAL OF MATHEMATICS, 2018, 16 (02): : 549 - 561
  • [10] Interval-Valued Semiprime Fuzzy Ideals of Semigroups
    Kar, Sukhendu
    Sarkar, Paltu
    Hila, Kostaq
    ADVANCES IN FUZZY SYSTEMS, 2014, 2014
12345