Michael Gr. Voskoglou
The present paper deals with the reasons and processes that led from fuzziness to neutrosophy. Starting from definitions and examples of fuzzy sets and logic and of intuitionistic fuzzy sets, it proceeds to the description of the existing in real life indeterminancy and defines the connected to it concept of neutrosophic set, introduced by Smarandache in 1995. The basic operations between neutrosophic sets are presented and the paper closes with the concept of neutrosophic topological space, which generalizes the notions of fuzzy and intuitionistic fuzzy topological space. It is shown that the classical concepts of convergence and continuity in topological spaces, of compact topological space and of Hausdorff topological space can be extended to neutrosophic topological spaces.
Fuzzy set (FS), fuzzy logic (FL), intuitionistic fuzzy set (IFS), indeterminancy, neutrosophic set (NS), neutrosophic topological space (NTS)
Cite this paper
Michael Gr. Voskoglou. (2022) Managing the Existing in Real Life Indeterminancy. International Journal of Mathematical and Computational Methods, 7, 29-34