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Eurasian Mathematical Journal, 2012, Volume 3, Number 4, Pages 111–136 (Mi emj108)  
This article is cited in 1 scientific paper (total in 1 paper)

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

M. Sarwara, M. Alib

a Department of Mathematics, University of Malakand, Chakdara, Lower Dir, Pakistan
b Department of Mathematics, Islamia College University, Peshawar, Pakistan
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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.
Received: 04.04.2012
Bibliographic databases:
Document Type: Article
MSC: 05C38, 15A15, 05A15, 15A18
Language: English
Citation: M. Sarwar, M. Ali, “On intuitionistic fuzzy h-ideals in h-hemiregular hemirings and $h^*$-duo-hemirings”, Eurasian Math. J., 3:4 (2012), 111–136
Citation in format AMSBIB
\Bibitem{SarAli12}
\by M.~Sarwar, M.~Ali
\paper On intuitionistic fuzzy h-ideals in h-hemiregular hemirings and $h^*$-duo-hemirings
\jour Eurasian Math. J.
\yr 2012
\vol 3
\issue 4
\pages 111--136
\mathnet{http://mi.mathnet.ru/emj108}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3040690}
\zmath{https://zbmath.org/?q=an:1268.05116}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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