$\sigma$-fuzzy ideals of distributive p-algebras
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In this paper, we introduce the concept of $\sigma$-fuzzy ideals in distributive $p$-algebras. It is proved that the set of all $\sigma$-fuzzy ideals forms a complete distributive lattice. Moreover, the class of all $\sigma$-fuzzy ideals of a distributive $ p $-algebra is isomorphic to the class of fuzzy ideals of the lattice of all booster ideals. Finally, we prove that the image and pre-image of $\sigma$-fuzzy ideals are also $\sigma$-fuzzy ideals.
Abstract
In this paper, we introduce the concept of $\sigma$-fuzzy ideals in distributive $p$-algebras. It is proved that the set of all $\sigma$-fuzzy ideals forms a complete distributive lattice. Moreover, the class of all $\sigma$-fuzzy ideals of a distributive $ p $-algebra is isomorphic to the class of fuzzy ideals of the lattice of all booster ideals. Finally, we prove that the image and pre-image of $\sigma$-fuzzy ideals are also $\sigma$-fuzzy ideals.
참고문헌 (11)
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