Fuzzy Sets and Systems
Correspondence theorem for fuzzy ideals
Fuzzy Sets and Systems
Fuzzy Sets and Systems
On prime and primary fuzzy ideals and their radicals
Fuzzy Sets and Systems
Generating properties of fuzzy algebraic structures
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Information Sciences: an International Journal
Spectrum of prime L-fuzzy h-ideals of a hemiring
Fuzzy Sets and Systems
Characterizations of hemirings by their h-ideals
Computers & Mathematics with Applications
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Prime fuzzy ideals, prime fuzzy k-ideals, and prime fuzzy h-ideals are roped in one condition. It is shown that this way better fuzzification is achieved. Other major results of the paper are: every fuzzy ideal (resp., k-ideal, h-ideal) is contained in a prime fuzzy ideal (resp., k-ideal, h-ideal). Prime radicals and nil radicals of a fuzzy ideal are defined; their relationship is established. The nil radical of a fuzzy k-ideal (resp., an h-ideal) is proved to be a fuzzy k-ideal (resp., h-ideal). The correspondence theorems for different types of fuzzy ideals of hemirings are established. The concept of primary fuzzy ideal is introduced. Minimum imperative for proper fuzzification is suggested and it is shown that the fuzzifications introduced in this paper are proper fuzzifications.