INTUTIONISTIC FUZZIFICATION APPLIED TO ⋆-TERNARY SEMIHYPERGROUPS

Authors

  • Dr. Sabahat Ali Khan Jamia Hamdard, New Delhi
  • Prof. Mohammad Yahya Abbasi Jamia Millia Islamia, New Delhi
  • Dr. Naveed Yaqoob Riphah International University, Islamabad, Pakistan
  • Sameena Hashmi Jamia Millia Islamia

DOI:

https://doi.org/10.5269/bspm.81700

Abstract

In this paper, we make a new approach to ⋆-ternary semihypergroup via intuitionistic fuzzification, with the concept of intutionistic
fuzzy ternary sub-semihypergroup(I.F.T.sub-S.), intutionistic fuzzy right hyperideals(I.F.R.H.), intutionistic fuzzy lateral hyperideals(
I.F.Lt.H.), intutionistic fuzzy left hyperideals(I.F.L.H.) and intutionistic fuzzy hyperfilters(I.F.H.F.) and, explore some properties using involution
theoretic concepts in ⋆-ternary semihypergroups for intutionistic fuzzy hyperideals and intutionistic fuzzy hyperfilters.. Particularly, we obtain the relationship between the complement of intuitionistic fuzzy hyperideals and intuitionistic fuzzy hyperfilters.

Author Biographies

  • Dr. Sabahat Ali Khan, Jamia Hamdard, New Delhi

    Assitant Professor, Department of Computer Science, School of Engineering Sciences
    and Technology(SEST), Jamia Hamdard, New Delhi-110 062, India

  • Prof. Mohammad Yahya Abbasi, Jamia Millia Islamia, New Delhi

    Professor, Department of Mathematics, Jamia Millia Islamia, New Delhi-
    110025, India

  • Dr. Naveed Yaqoob, Riphah International University, Islamabad, Pakistan

    Associate Professor, Department of Mathematics and Statistics, Riphah International
    University, Islamabad, Pakistan

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Published

2026-04-13

Issue

Section

Conf. Issue: Advances in Algebra, Analysis, Optimization, and Modeling