Abstract
In this paper, we explain classical concept of the fuzzy soft sets to express the idea of cyclic normal fuzzy neutrosopic soft G-modular structures acting on a group. Neutrosopic soft set theory is studied as an effective parametric tool to discuss with uncertainities. We also investigate the relationship between cyclic fuzzy neutrosopic soft G-modules and classical modules. We study their concerned properties in terms of soft set operations, soft image, soft pre-image, soft anti image, α-inclusion of neutrosopic fuzzy soft sets and linear combinations of the vector spaces. Furthermore we show applications of this new G-modules on vector spaces with supporting proofs.
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