$\delta$-fuzzy Ideals in MS-algebras
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Keywords:
MS-algebra, de Morgan algebra, $ \delta $-fuzzy ideals, $ \alpha $-level principal $ \delta $-fuzzy ideals, fuzzy filters, homommorphismsAbstract
In this paper, we introduce the concept of $ \delta $-fuzzy ideals and $ \alpha $-level principal $\delta $-fuzzy ideals in an MS-algebra and study basic properties of these ideals with respect to homomorphisms. It is observed that the class of all $ \delta $-fuzzy ideals forms a complete distributive lattice and the class of all $ \alpha $-level principal $ \delta $-fuzzy ideals forms a de Morgan algebra. A characterization of $ \delta $-fuzzy ideals in terms of $ \alpha $-level principal $ \delta $-fuzzy ideals is given.
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