Vague Positive Implicative And Associative W-implicative Ideals Of Lattice Wajsberg Algebras

Ibrahim Abdul, M. Mohamed Rajik

Abstract


In this paper, we introduce the definitions of the vague positive implicative W-implicative ideal and the vague associative W-implicative ideal of lattice Wajsberg algebra. Moreover, we give the relationship between the vague associative W-implicative ideal and the vague W-implicative ideal. Furthermore, we prove that every vague positive implicative W-implicative ideal is a vague W-implicative ideal.

Keywords


Wajsberg algebra; Lattice Wajsberg algebra; W-implicative ideal; Vague set; Vague W-implicative ideal; Vague positive implicative W-implicative ideal; Vague associative W-implicative ideal.

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References


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DOI: http://dx.doi.org/10.23755/rm.v42i0.747

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