Vague positive implicative and associative w-implicative ideals of lattice wajsberg algebras

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.