• FUZZY SOFT UNION ACTION ON N-MODULE AND N-IDEAL STRUCTURES

D. RADHA, G. SUBBIAH*, M. NAVANEETHAKRISHNAN

Abstract


In this paper, we define a new concept, called soft union action (SU) on N- module structures on a fuzzy soft set. This new notions gathers fuzzy theory, soft set theory and near-ring modulo theory (N-module theory) together and it shows how a fuzzy soft set effects on N-module structure in the mean of union and inclusion of sets. We then obtain its basic properties with illustrative examples and derive some analog of classical N-module theoretic concepts for SU-action on N-module. Finally, we give the application of SU-actions on N-module theory.


Keywords


Fuzzy set, soft set, fuzzy soft set, N-module SU-action, N-ideal SU-action, α-inclusion, pre-image, soft image.

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