On fuzzy h-ideals in hemirings

Jun, Young Bae; Öztürk, Mehmet Ali̇; Song, Seok-Zun

doi:10.1016/j.ins.2003.09.007

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H-hemiregularity1

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Cited by 72 publications

(33 citation statements)

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“…[12]), their characteristic functions χ C and χ D are, respectively, fuzzy right h-ideal and fuzzy left h-ideal. Moreover, by…”

Section: H-hemiregularitymentioning

confidence: 99%

Fuzzy h-ideals of hemirings

Zhan

Dudek

2007

Information Sciences

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A characterization of an h-hemiregular hemiring in terms of a fuzzy h-ideal is provided. Some properties of prime fuzzy h-ideals of h-hemiregular hemirings are investigated. It is proved that a fuzzy subset ζ of a hemiring S is a prime fuzzy left (right) h-ideal of S if and only if ζ is two-valued, ζ(0) = 1, and the set of all x in S such that ζ(x) = 1 is a prime (left) right h-ideal of S. Finally, the similar properties for maximal fuzzy left (right) h-ideals of hemirings are considered.

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“…[12]), their characteristic functions χ C and χ D are, respectively, fuzzy right h-ideal and fuzzy left h-ideal. Moreover, by…”

Section: H-hemiregularitymentioning

confidence: 99%

Fuzzy h-ideals of hemirings

Zhan

Dudek

2007

Information Sciences

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“…Fuzzy kideals in semirings are studied in [11] and fuzzy h-ideals are studied in [10,17,20,25,26,28,30].…”

Section: Introductionmentioning

confidence: 99%

CHARACTERIZATIONS OF HEMIRINGS BY ∊,∊∨q)-FUZZY IDEALS

Shabir¹,

Nawaz²,

Mahmood³

2015

East Asian mathematical journal

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“…Consequently some more restricted concepts of ideals such as k-ideals [10] and h-ideals [11] have been introduced in the study of the semiring theory. Some researchers have investigated some important results of semirings, the notions of fuzzy semirings, fuzzy (prime) ideals, fuzzy h-ideals and obtained many good results (see [13,18,26,30,31,32,34]). Feng et.al [8] have started to investigate the structure of soft semirings.…”

Section: Introductionmentioning

confidence: 99%