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

Authors

  • Ibrahim Abdul Assistant Professor, PG & Research Department of Mathematics, H.H. The Rajah's College, Pudukkottai - 622 001. Tamil Nadu.
  • M. Mohamed Rajik Department of Mathematics, Jansons Institute of Technology, Coimbatore, Research Scholar, P.G. and Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai, Affiliated to Bharathidasan University, Tamilnadu, India.

DOI:

https://doi.org/10.23755/rm.v42i0.747

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.

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.

Author Biography

  • Ibrahim Abdul, Assistant Professor, PG & Research Department of Mathematics, H.H. The Rajah's College, Pudukkottai - 622 001. Tamil Nadu.
    Assistant Professor,
    PG & Research Department of Mathematics,
    H.H. The Rajah's College,
    Pudukkottai - 622 001.
    Tamil Nadu.

References

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Published

2022-06-30

Issue

Vol. 42 (2022)

Section

Volume 42-2022

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