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Applications of intuitionistic fuzzy sets to assessment, decision making and to topological spaces

Michael Gr. Voskoglou

Abstract

The intuitionistic fuzzy sets, in which the elements of the universe have their membership and non-membership degrees in [0, 1], is a generalization of Zadeh’s fuzzy set. In this paper intuitionistic fuzzy sets are used as tools for assessment and decision making. This is useful in cases where one is not sure about the suitability of the linguistic characterizations assigned to each element of the universal set. Further, it is described how the notions of convergence, continuity, compactness, and of Hausdorff topological space are extended to intuitionistic fuzzy topological spaces. Applications illustrating our results are also presented.

Keywords

fuzzy set; intuitionistic FS; soft set; fuzzy assessment; decision making in fuzzy environment; intuitionistic fuzzy topological space

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DOI: https://doi.org/10.59400/jam.v1i4.325
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