Abstract

Groupoid Action on Anti-Fuzzy Lattice Ordered M-Group

A. Solairaju1 and M. Maria Arockia Raj2

1Associate Professor of Mathematics, Jamal Mohamed College (A), Trichy, INDIA. 2Part-Time Research Scholar in Mathematics, Jamal Mohamed College (A), Trichy, INDIA.

ABSTRACT

In this paper, the notion of anti-fuzzy lattice ordered m-group is introduced and investigated some of its basic properties. Also the homomorphic image, pre-image of anti fuzzy lattice ordered m-groups, arbitrary family of anti fuzzy lattice ordered m-groups and anti fuzzy lattice ordered m-groups using T-norm are studied. The notion of sensible anti fuzzy lattice ordered m-groups in group is introduced, and some related properties of lattices are discussed.

Keywords :lattice ordered M-group, anti-fuzzy group, groupoid action on fuzzy group, and anti-fuzzy lattice group.

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