Abstract

FWI- ideals of Residuated Lattice Wajsberg Algebras

A. Ibrahim*1 and R. Shanmugapriya2

1Assistant Professor, P.G.and Research Department of Mathematics, H.H.The Rajah’s College, Pudukkotai-622001, Tamilnadu, INDIA. 2Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore-641043,Tamilnadu, INDIA.

ABSTRACT

In this paper, we introduce the notion of fuzzy Wajsberg implicative ideal (FWI-ideal) of residuated lattice Wajsberg algebra and investigate some properties with illustrations. Further, we show that every FWI – ideal of residuated lattice Wajsberg algebra is a fuzzy lattice ideal. Mathematical Subject classification 2010: 03E70, 03E72, 03G10.

Keywords :Wajsberg algebra; Lattice Wajsberg algebra; Residuated lattice Wajsberg algebra; WI–ideal; FWI –ideal.

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