1P.G. and Research Department of Mathematics, H. H. The Rajah's College Pudukkotai, Tamilnadu, India. Email: ibrahimaadhil@yahoo.com; dribrahimaadhil@gmail.com
2Department of Mathematics, Sri Ramakrishna Engineering College, Coimbatore, Tamilnadu, India. Email: nousheen2407@gmail.com
AMS Mathematics Subject Classification (2010): 03B50, 03G10, 03G25, 03E72
In the present paper, we introduce the notions of intuitionistic fuzzy WI-ideal and intuitionistic fuzzy lattice ideal of lattice Wajsberg algebras. We show that every intuitionistic fuzzy WI-ideal of lattice Wajsberg algebra is an intuitionistic fuzzy lattice ideal of lattice Wajsberg algebra. Also, we discuss its converse part. Further, we obtain every intuitionistic fuzzy lattice ideal is an intuitionistic fuzzy WI-ideal in lattice H-Wajsberg algebra. Moreover, we discuss some characterizations of intuitionistic fuzzy WI-ideal.
Wajsberg algebra, Lattice Wajsberg algebra, WI-ideal, Fuzzy WI-ideal, Intuitionistic fuzzy WI-ideal, Intuitionistic fuzzy lattice ideal
