INTUTIONISTIC FUZZIFICATION APPLIED TO ⋆-TERNARY SEMIHYPERGROUPS

Sabahat Ali Khan; Mohammad Yahya Abbasi; Naveed  Yaqoob; Sameena Hashmi

doi:10.5269/bspm.81700

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

Résumé

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.

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Bibliographies de l'auteur

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

Mohammad Yahya Abbasi, Jamia Millia Islamia, New Delhi

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

Naveed Yaqoob, Riphah International University, Islamabad, Pakistan

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