Pythagorean fuzzy multigroups

Meryem Fakhraoui; Idris Bakhadach; M'hamed Elomari; Said Melliani

doi:10.5269/bspm.77219

Meryem Fakhraoui Sultan Moulay Slimane University https://orcid.org/0009-0003-0677-9780
Idris Bakhadach National School of Applied Sciences, Sultan Moulay Slimane University https://orcid.org/0000-0003-2328-6147
M'hamed Elomari Sultan Moulay Slimane University https://orcid.org/0000-0002-4256-1434
Said Melliani Faculty of Sciences and Technologies, Sultan Moulay Slimane University https://orcid.org/0000-0002-5150-1185

Résumé

This paper introduces Pythagorean fuzzy multigroups as an extension of intuitionistic fuzzy multigroups, addressing limitations in uncertainty representation. We establish the theoretical framework for these algebraic structures, deriving fundamental properties including closure under group operations and characterizing intersection and union behaviors. Key results include necessary and sufficient conditions for Pythagorean fuzzy multigroup properties and comprehensive analysis of their algebraic structure. The developed theory provides enhanced tools for decision-making under uncertainty with multiple membership degrees

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