Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

2015

Abstract

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.

Publication Title

Math.Combin.Book Ser.

Volume

4

Language (ISO)

English

Keywords

Fuzzy set, neutrosophic set, group action, G-space, fuzzy subspace, neutrosophic subspace

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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