Fuzzy sets are the most significant tools to handle uncertain data while neutrosophic sets are the generalizations of fuzzy sets in the sense to handle uncertain, incomplete, inconsistent, indeterminate, false data. In this paper, we introduced fuzzy subspaces and neutrosophic subspaces (generalization of fuzzy subspaces) by applying group actions.Further, we define fuzzy transitivity and neutrosophic transitivty in this paper. Fuzzy orbits and neutrosophic orbits are introduced as well. We also studied some basic properties of fuzzy subspaces as well as neutrosophic subspaces.
Fuzzy set, neutrosophic set, group action, G-space, fuzzy subspace, neutrosophic subspace
Smarandache, Florentin and Mumtaz Ali.
"A New Type of Group Action Through the Applications of Fuzzy Sets and Neutrosophic Sets."
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