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<p>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>i–v</i>) pseudo-symmetric (semipseudo-symmetric, semiprimary) fuzzy ideals and cultivate their different properties. Moreover, we mention some relationships among three (<i>i–v</i>) fuzzy radicals. Lastly, we verify that the (<i>i–v</i>) fuzzy ideals, namely, (<i>i–v</i>) completely prime, (<i>i–v</i>) completely semiprime, (<i>i–v</i>) pseudo-symmetric and (<i>i–v</i>) primary fuzzy ideals are equivalent in some specific semigroups.</p>

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(i–v) Pseudo-symmetric fuzzy ideal in semigroups

  • 期刊论文

  • 发表日期：

    2025年1月7日

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  • Paltu Sarkar,
  • Sukhendu Kar

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.