HyperRough TOPSIS method and SuperHyperRough TOPSIS method

Authors

https://doi.org/10.48313/uda.vi.59

Abstract

Rough set theory provides a mathematical framework for approximating subsets through lower and upper bounds defined by equivalence relations, effectively capturing uncertainty in classification and data analysis. Building on these foundational ideas, extended models such as Hyperrough Sets and Superhyperrough Sets have been proposed to represent more complex forms of uncertainty. In this paper, we introduce the HyperRough TOPSIS Method and the SuperHyperRough TOPSIS Method, and examine their underlying mathematical structures. TOPSIS is a well-established method in decision-making, and the proposed HyperRough and SuperHyperRough TOPSIS methods serve as generalized extensions of the classical Rough TOPSIS approach.

Keywords:

Rough set, Hyperrough set, Rough TOPSIS, SuperHyperRough set, HyperRough TOPSIS, SuperHyperRough TOPSIS

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Published

2025-03-21

Issue

Vol. 2 No. 1 (2025): Uncertainty Discourse and Applications

Section

Articles

How to Cite

Fujita, T. . (2025). HyperRough TOPSIS method and SuperHyperRough TOPSIS method. Uncertainty Discourse and Applications, 2(1), 61-75. https://doi.org/10.48313/uda.vi.59

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