Generalization of fuzzy ideals of semirings and metatheorem
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We investigate fuzzy bi-interior ideals, fuzzy bi-quasi ideals, fuzzy bi-quasi-interior ideals and fuzzy quasi-interior ideals of a semiring as a generalization of fuzzy bi-ideals, fuzzy interior ideals and fuzzy quasi-ideals in a semiring by utilizing metatheorem formulated by Tom Head.\ We studied properties of fuzzy bi-interior ideals, fuzzy bi-quasi ideals, fuzzy bi-quasi-interior ideals and fuzzy quasi-interior ideals of a semiring, simple semiring and regular semiring.\ The classes of different types of fuzzy ideals are shown to be projection closed.\ Tom Head's metatheorem is used to provide proofs of several results pertaining to these fuzzy ideals which doesn't involve calculations.
Abstract
We investigate fuzzy bi-interior ideals, fuzzy bi-quasi ideals, fuzzy bi-quasi-interior ideals and fuzzy quasi-interior ideals of a semiring as a generalization of fuzzy bi-ideals, fuzzy interior ideals and fuzzy quasi-ideals in a semiring by utilizing metatheorem formulated by Tom Head.\ We studied properties of fuzzy bi-interior ideals, fuzzy bi-quasi ideals, fuzzy bi-quasi-interior ideals and fuzzy quasi-interior ideals of a semiring, simple semiring and regular semiring.\ The classes of different types of fuzzy ideals are shown to be projection closed.\ Tom Head's metatheorem is used to provide proofs of several results pertaining to these fuzzy ideals which doesn't involve calculations.
참고문헌 (14)
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