Path: Top -> Journal -> Jurnal Internasional -> Fuzzy Information and Engineering -> 2017 -> Volume 9, Issue 1, March
On Bipolar Anti Fuzzy h-ideals in Hemi-rings
Oleh : Khizar Hayat, Tahir Mahmood, Bing-Yuan Cao, Fuzzy Information and Engineering
Dibuat : 2017-03-21, dengan 1 file
Keyword : BAF h-idealsHemi-ringsPositive anti β-cutsNegative anti α-cutsAnti images and anti pre-images
Url : http://www.sciencedirect.com/science/article/pii/S1616865817300729
Sumber pengambilan dokumen : web
In this work, we present notions of bipolar anti fuzzy h-ideals and bipolar anti fuzzy interior h-ideals in hemi-rings. Investigating some of their properties, we characterize hemi-rings by means of positive anti β-cut and negative anti α-cut. Meanwhile, some results of homomorphisms, anti images and anti pre-images are given to show the rationality of the definitions introduced in the present paper. Also, we define an equivalence relation on bipolar anti fuzzy h-ideals. In particular, we investigate translations, extensions and multiplications of bipolar anti fuzzy h-ideals. Finally, we present characterizations of h-hemi-regular and h-semi-simple hemi-rings in terms of bipolar anti fuzzy h-ideals.
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