Path: Top -> Journal -> Jurnal Internasional -> Fuzzy Information and Engineering -> 2021 -> Volume 13, Issue 1

Characterisation of p-ideals in Hemirings on the Basis of Hemiregularity, Prime and Normal Fuzzy Ideals

Journal from gdlhub / 2021-09-03 14:27:10
Oleh : Muhammad Touqeer, Atiqa Maryam & Muhammad Nauman Saeed, Fuzzy Information and Engineering
Dibuat : 2021-09-03, dengan 0 file

Keyword : Hemiring, p-hemiregular hemiring, Fuzzy p-ideal, Prime fuzzy p-ideal, Normal fuzzy p-ideal
Url : http://www.tandfonline.com/doi/full/10.1080/16168658.2021.1915569
Sumber pengambilan dokumen : Web

In p-hemiregular hemirings, some properties of ‘prime fuzzy p-ideals’ are examined. In the case of fuzzy p-ideal, p-hemiregular hemiring is also characterised. It is showed that in the case of hemiring H, fuzzy subset φ is a ‘prime fuzzy left p-ideal’ in H if and only if φ is having two values, set having all values of in H so that φ(p) equals to one is a ‘prime left(right) p-ideal’ in H, φ(0) = 1. In hemirings for ‘maximal fuzzy left(right) p-ideals’, some related properties are also studied.

Deskripsi Alternatif :

In p-hemiregular hemirings, some properties of ‘prime fuzzy p-ideals’ are examined. In the case of fuzzy p-ideal, p-hemiregular hemiring is also characterised. It is showed that in the case of hemiring H, fuzzy subset φ is a ‘prime fuzzy left p-ideal’ in H if and only if φ is having two values, set having all values of in H so that φ(p) equals to one is a ‘prime left(right) p-ideal’ in H, φ(0) = 1. In hemirings for ‘maximal fuzzy left(right) p-ideals’, some related properties are also studied.

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