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On intuitionistic fuzzy h-ideals in h-hemiregular hemirings and $h^*$-duo-hemirings

M. Sarwar^a, M. Ali<sup>b

a</sup> Department of Mathematics, University of Malakand, Chakdara, Lower Dir, Pakistan
^b Department of Mathematics, Islamia College University, Peshawar, Pakistan

Abstract: In this paper, intuitionistic fuzzy h-bi-ideals and intuitionistic fuzzy h-quasi-ideals of hemirings are studied and some related properties are investigated. We characterize fully idempotent hemirings by the properties of their intuitionistic fuzzy h-ideals. We also characterize h-hemiregularity, h-intra-hemiregularity and h-quasi-hemiregularity in hemirings by the properties of their intuitionistic fuzzy h-bi-ideals and intuitionistic fuzzy h-quasi-ideals. The concept of intuitionistic fuzzy $h^*$-duo-hemirings is introduced and some of their characterizations are obtained.

Keywords and phrases: hemiring, $h^*$-duo-hemiring, intuitionistic fuzzy h-bi-ideal, intuitionistic fuzzy h-quasi ideal, intuitionistic fuzzy $h^*$-duo, h-hemiregularity, h-quasihemiregularity, h-intra-hemiregularity.

MSC: 05C38, 15A15, 05A15, 15A18

Received: 04.04.2012

Language: English

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