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

Michael Gr. Voskoglou

doi:10.59400/jam.v1i4.325

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

Michael Gr. Voskoglou School of Engineering, University of Peloponnese, 26334 Patras, Greece

Ariticle ID: 325

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

Keywords: fuzzy set, intuitionistic FS, soft set, fuzzy assessment, decision-making in fuzzy environment, intuitionistic fuzzy topological space

Abstract

The intuitionistic fuzzy sets, in which the elements of the universe have their membership and non-membership degrees in [0, 1], are 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.

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Published

2023-12-12

How to Cite

Voskoglou, M. G. (2023). Applications of intuitionistic fuzzy sets to assessment, decision making and to topological spaces. Journal of AppliedMath, 1(4), 325. https://doi.org/10.59400/jam.v1i4.325

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