a new way to fuzzy h-ideals of hemirings

Authors

yunqiang yin

jianming zhan

xiaokun huang

abstract

by means of a kind of new idea, we consider  the $(in,ivq)$-fuzzy$h$-ideals of a hemiring.  first, the concepts of $(in,ivq)$-fuzzyleft(right) $h$-ideals of a hemiring are provided and some relatedproperties are investigated. then, a kind  of quotient hemiring  ofa hemiring by an $(in,ivq)$-fuzzy $h$-ideal is presented andstudied. moreover, the notions of generalized $varphi$-compatible$(in,ivq)$-fuzzy left(right) $h$-ideals of a hemiring areintroduced and some properties of them are provided. finally, therelationships among $(in,ivq)$-fuzzy $h$-ideals, quotienthemirings and homomorphisms are  explored and several homomorphismtheorems are provided.

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Journal title:
iranian journal of fuzzy systems

Publisher: university of sistan and baluchestan

ISSN 1735-0654

volume 8

issue 5 2011

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