Affiliations: [a] Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, China
| [b] Department of Mathematics, Islamabad Model College for Girls, Islamabad, Pakistan
Correspondence:
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Corresponding author. Jianming Zhan, Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province 445000, China. Tel.: +86 0718 8437732; E-mail: zhanjianming@hotmail.com.
Abstract: In this paper, we propose the notion of Z-soft fuzzy rough ideals of hemirings, which is an extended concept of Z-soft rough fuzzy ideals proposed by Zhan [J. Zhan, K. Zhu, A novel soft rough fuzzy set: Z-soft rough fuzzy ideals of hemirings and corresponding decision making, Soft Comput., 2016, DOI 10.1007/s00500-016-2119-9]. By two novel pseudo fuzzy soft sets, we investigate some kinds of Z-soft fuzzy rough ideals in hemirings with respect to a soft fuzzy approximation space. Some new soft fuzzy rough operations over hemirings are explored. Some Z-lower and Z-upper soft fuzzy rough ideals (k-ideals, h-ideals, strong h-ideals) of hemirings are investigated.
