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Journals / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2026 / Cilt: 22 Sayı: 2

On Muzzy Subsets

Utku Gürdal(BURDUR MEHMET AKİF ERSOY ÜNİVERSİTESİ)0000-0003-2887-2188
Gamze Aynur Tirli(BURDUR MEHMET AKİF ERSOY ÜNİVERSİTESİ)0000-0002-6565-9071
Selim Çetin(BURDUR MEHMET AKİF ERSOY UNIVERSITY)0000-0002-9017-1465
Pages
390–400
Publication Date
2026-06-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, several examples are given to illustrate the practicality of muzzy subsets in modeling real-world scenarios where traditional set theories fall short.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We introduce the concept of muzzy subsets as a novel generalization of fuzzy subsets aimed at refining the representation of uncertainty.
📊
Key Findings & Data:Unlike fuzzy subsets, which assign membership degrees to individual elements, muzzy subsets assign subsethood degrees to subsets of a given universal set, capturing the extent to which a subset of the universe is accepted as a subset of the muzzy subset.
💡
Conclusion & Impact:Moreover, several examples are given to illustrate the practicality of muzzy subsets in modeling real-world scenarios where traditional set theories fall short.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:fuzzy set · intuitionistic fuzzy set · subset

Abstract

We introduce the concept of muzzy subsets as a novel generalization of fuzzy subsets aimed at refining the representation of uncertainty. Unlike fuzzy subsets, which assign membership degrees to individual elements, muzzy subsets assign subsethood degrees to subsets of a given universal set, capturing the extent to which a subset of the universe is accepted as a subset of the muzzy subset. Our study also establishes fundamental properties of muzzy subsets, explores their relationship with fuzzy subsets, and introduces a dual tool: co-muzzy (cuzzy) subsets, which represent degrees of supersethood, as well as a unified tool: bi-muzzy (buzzy) subsets, which combines the structures of both of the former two tools. Moreover, several examples are given to illustrate the practicality of muzzy subsets in modeling real-world scenarios where traditional set theories fall short.

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Cite This Article

Gürdal, U., Tirli, G. A., Çetin, S. (2026). On Muzzy Subsets. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 22 Sayı: 2, 390–400. https://doi.org/10.18466/cbayarfbe.1695338

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