The Hyperfuzzy VIKOR and Hyperfuzzy DEMATEL Methods for Multi-Criteria Decision-Making

Takaaki Fujita

doi:10.31181/sdmap31202654

Authors

Takaaki Fujita Independent Researcher, Shinjuku, Tokyo, Japan Author https://orcid.org/0000-0002-9380-386X

DOI:

https://doi.org/10.31181/sdmap31202654

Keywords:

Hyperfuzzy set, Fuzzy set, SuperHyperfuzzy Set, VIKOR, DEMATEL, Fuzzy VIKOR, Fuzzy DEMATEL

Abstract

Handling uncertainty in information systems remains an active area of research, with foundational frameworks such as fuzzy sets, rough sets, intuitionistic fuzzy sets, neutrosophic sets, hyperneutrosophic sets, and plithogenic sets, among others. In particular, Hyperfuzzy Sets and SuperHyperfuzzy Sets offer a powerful means to capture multi-layered uncertainty. At the same time, fuzzy set–based decision-making techniques—such as the Analytic Hierarchy Process (AHP), DEMATEL, VIKOR, TOPSIS, and other MCDM methods—have proven highly effective in practice. In this paper, we introduce novel formulations of Hyperfuzzy VIKOR and Hyperfuzzy DEMATEL that extend the classical Fuzzy VIKOR and Fuzzy DEMATEL methods. We further develop corresponding extensions built upon the SuperHyperfuzzy Set paradigm, laying the groundwork for richer, hierarchically structured decision-making models.

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