(i–v) Pseudo-symmetric fuzzy ideal in semigroups(i–v) Pseudo-symmetric fuzzy ideal in semigroupsP. Sarkar, S. Kar

被引：0

作者：

Paltu Sarkar ^{[1
]}

Sukhendu Kar ^{[2
]}

机构：

[1] University of North Bengal,Department of Mathematics

[2] Jadavpur University,Department of Mathematics

来源：

Afrika Matematika | 2025年 / 36卷 / 1期

关键词：

(; ) Pseudo-symmetric fuzzy ideal; (; ) Semipseudo-symmetric fuzzy ideal; (; ) Primary fuzzy ideal; (; ) Fuzzy radicals; 08A72;

D O I：

10.1007/s13370-024-01236-y

中图分类号：

学科分类号：

摘要：

In this paper, we discover Anjaneyulu’s pseudo-symmetricity with the help of interval-valued fuzzy membership function. In semigroups, we propose the concept of (i–v) pseudo-symmetric (semipseudo-symmetric, semiprimary) fuzzy ideals and cultivate their different properties. Moreover, we mention some relationships among three (i–v) fuzzy radicals. Lastly, we verify that the (i–v) fuzzy ideals, namely, (i–v) completely prime, (i–v) completely semiprime, (i–v) pseudo-symmetric and (i–v) primary fuzzy ideals are equivalent in some specific semigroups.

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