Hesitant Fuzzy Prime Ideal of Γ- ring


  • Mazen Omran Karim Department of mathematics College of Educations. University of Al-Qadisiyah , Iraq.
  • Rand Shafea Ghanim Department of mathematics College of Educations. University of Al-Qadisiyah , Iraq




hesitant fuzzy prime ideal, hesitant fuzzy subring, gamma ring, fuzzy ideal


In this paper, we introduce the notions of hesitant fuzzy ideal, hesitant fuzzy prime ideal, hesitant fuzzy strongly prime ideal in gamma rings and hesitant 3-prime ideal. Also, we study the relation between the above concepts


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Barnes W.E : “ on the Γ-rings of No pacific J. Math. , vol.18 , pp. 411-422: (1966)

HUR. K, S.U and Jang S.Y.and Kang H.W "Intuitionistic Fuzzy Ideals Of A ring ,J.Korea Soc. Math. Ser .B.Pure Appl. Math. Volume 12 ,Number 3 (August 2005), Pages 193-209.

Jun Y.B. and Lee C.Y. ; “ Fuzzy Gamma Rings “ , pusom kyongnan Math. J. ; vol.8 ; pp.63-170, (1992)

Kim.J.H, Lim P.K, Lee J.G and Hur "Hesitant Fuzzy subgroups and subrings" , Annals of Fuzzy Mathematics and Informatics, vol. 18 , no.2 pp. 105-122,2019.

Kyuno S . ; “ on prime gamma rings” , pacific J. Math. ; vol.75 ; No.1 ; pp. 185-190 ; (1978).

Kyuno S. ; ″ Prime Ideal In Gamm Ring″ Paciic Journal Of Mathematics (VOL.98,NO.2 , 1982)

Lia W.J ; Fuzzy invariant subgroups and fuzzy ideals ; fuzzy sets and systems ; vol.8 pp. 133-139 ; (1982)

Liao H.C , Xu, Z.S. "Subtraction and division operations over hesitant fuzzy sets" ,Journal of Inteligent and fuzzy Systems (2013b), doi:10.3233/IFS-130978.

Luh J. ; “ The stracture of primitive gamma rings” ; Osaka J. Math. ; vol. ; pp. 267-274 ; (1970)

Mohammad Y.A , Aakif F. , Khan T.S. and Hilla K. ; “ A Hesitant fuzzy set approach to ideal theory in Γ-semigroups”; Advances in Fuzzy systems; (2018)

Nobusawa N. ;” on a generalization of the ring theory” ; Osaka J. Math. : vol. 1 pp. 81-89 : (1964)

Torra V. “ Hesitant fuzzy sets”, International Journal of Intelligent Systems, vol.25, no. 6, pp.529-539, (2010).

Torra V. and Narukawa Y. On hesitant fuzzy set and decision, in Proc.IEEE 18th Int.Fuzzy Syst.(2009) 1378-1382.

Zadeh L.A "Fuzzy sets" , Information and Control , vol.8, pp.338-353,(1965).

Zadeh L.A. ; “ Fuzzy sets” ; Information and control; vol.8 ; pp. 338-353 ; (1965).




How to Cite

Karim, M. O., & Ghanim, R. S. . (2022). Hesitant Fuzzy Prime Ideal of Γ- ring. JOURNAL OF ADVANCES IN MATHEMATICS, 21, 66–72. https://doi.org/10.24297/jam.v21i.9230