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Journals / Journal of Universal Mathematics / 2025 / Cilt: 8 Sayı: 2

THE EQUALITY OF INTUITIONİSTİC FUZZY MODAL OPERATORS E(α,β), Z(α,β,ω) and Z(α,β,ω,θ) ACCORDINGLY NEW DEFINED INTUITIONISTIC FUZZY ENTROPY

YENİ TANIMLANMIŞ BULANIK BULUT ENTROPİSİNE GÖRE E(α,β), Z(α,β,ω) ve Z(α,β,ω,θ) BULANIK BULUT MODAL OPERATÖRLERİNİN EŞİTLİĞİ

Arif Bal(MERSİN ÜNİVERSİTESİ)0000-0003-4386-7416
Sinem Tarsuslu(Tarsus Üniversitesi)0000-0001-9192-7001
Dilara Gündoğdu(MERSİN ÜNİVERSİTESİ)0000-0003-4146-8737
Gökhan Çuvalcıoğlu(MERSİN ÜNİVERSİTESİ)0000-0001-5451-3336
Pages
70–84
Publication Date
2025-10-19
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AI Summary & Key Takeaways

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

The operators〖 E〗_(α,β), Z_(α,β)^ω and Z_(α,β)^(ω,θ)are examined separately under obtained -entropy and it is shown that the fuzzification of that operators are equal under this -entropy.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A normal -entropy measure for intuitionistic fuzzy sets is proposed by using normalized Hamming distance.
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Key Findings & Data:A normal -entropy measure for intuitionistic fuzzy sets is proposed by using normalized Hamming distance.
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Conclusion & Impact:The operators〖 E〗_(α,β), Z_(α,β)^ω and Z_(α,β)^(ω,θ)are examined separately under obtained -entropy and it is shown that the fuzzification of that operators are equal under this -entropy.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Sezgisel Bulanık Kümeler · Normalleştirilmiş sigma uzaklık ölçüsü · sigma entropi

Abstract

A normal -entropy measure for intuitionistic fuzzy sets is proposed by using normalized Hamming distance. The operators〖 E〗_(α,β), Z_(α,β)^ω and Z_(α,β)^(ω,θ)are examined separately under obtained -entropy and it is shown that the fuzzification of that operators are equal under this -entropy.

Özet

Normalleştirilmiş Hamming uzaklığı kullanılarak sezgisel bulanık kümeler için normal bir -entropi ölçüsü önerilmiştir. Operatörler〖 E〗_(α,β), Z_(α,β)^ω ve Z_(α,β)^(ω,θ) elde edilen -entropi altında ayrı ayrı incelenmiş ve bu operatörlerin bulanıklaşmasının bu -entropi altında eşit olduğu gösterilmiştir.

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Cite This Article

Bal, A., Tarsuslu, S., Gündoğdu, D., Çuvalcıoğlu, G. (2025). THE EQUALITY OF INTUITIONİSTİC FUZZY MODAL OPERATORS E(α,β), Z(α,β,ω) and Z(α,β,ω,θ) ACCORDINGLY NEW DEFINED INTUITIONISTIC FUZZY ENTROPY. Journal of Universal Mathematics, Cilt: 8 Sayı: 2, 70–84. https://doi.org/10.33773/jum.1725478

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