Intuitionistic FWI-ideals of residuated lattice Wajsberg algebras

Authors

  • Shanmugapriya R. Shanmugapriya Research Scholar, P. G. and Research Department of Mathematics, H. H. The Rajah’s College, Pudukkotai, Affiliated to Bharathidasan University, Trichirappalli, Tamilnadu, India; priyasanmu@gmail.com
  • Ibrahim Abdul ASSISTANT PROFESSOR, PG & RESEARCH DEPARTMENT OF MATHEMATICS, H.H. THE RAJAH'S COLLEGE, PUDUKKOTTAI, TAMIL NADU - 622 001

DOI:

https://doi.org/10.23755/rm.v40i1.587

Keywords:

Wajsberg algebra, Lattice Wajsberg algebra, Residuated lattice Wajsberg algebra, WI–ideal, FWI –ideal, Intuitionistic FWI –ideal, Intuitionistic fuzzy lattice ideal.

Abstract

The notions of intutionistic fuzzy Wajsberg implicative ideal( –ideal) and intuitionistic fuzzy lattice ideal of residuated Wajsberg algebras are introduced. Also,  we show that every intuitionistic - ideal of residuated lattice Wajsberg algebra is an intuitionistic fuzzy lattice ideal of residuated lattice Wajsberg algebra. Further, we discuss its converse part.

Author Biography

  • Ibrahim Abdul, ASSISTANT PROFESSOR, PG & RESEARCH DEPARTMENT OF MATHEMATICS, H.H. THE RAJAH'S COLLEGE, PUDUKKOTTAI, TAMIL NADU - 622 001
    PG & RESEARCH DEPARTMENT OF MATHEMATICS, ASSISTANT PROFESSOR

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Published

2021-07-04

Issue

Vol. 40 (2021)

Section

Volume 40-2021

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