Journals / Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi / 2026 / Cilt: 37 Sayı: 2

Multiple Decision Making in Inverse Soft Matrices

Ters Esnek Matrislerde Çoklu Karar Verme Metodu

Emin Aygun(ERCİYES ÜNİVERSİTESİ)
Rüveyda Ateş(ERCİYES ÜNİVERSİTESİ)0000-0002-0427-4004
Seda Erdinç(ERCİYES ÜNİVERSİTESİ)0000-0003-1922-9860
Pages
249–259
Publication Date
2021-08-28
DOI
—
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AI Summary & Key Takeaways

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

Finally, a new inverse soft multiple decision making algorithm has been created.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The soft set theory proposed by Molodtsov is seen as an effective mathematical tool for dealing with uncertainty.
📊
Key Findings & Data:This theory has been applied to many areas involving uncertainty such as information systems, decision-making problems, optimization theory, algebraic structures, and mathematical analysis.
💡
Conclusion & Impact:Finally, a new inverse soft multiple decision making algorithm has been created.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Esnek Kümeler · Ters Esnek Kümeler · Ters Esnek Matrisler

Abstract

The soft set theory proposed by Molodtsov is seen as an effective mathematical tool for dealing with uncertainty. This theory has been applied to many areas involving uncertainty such as information systems, decision-making problems, optimization theory, algebraic structures, and mathematical analysis. In this study, new operations called and, or, and-not, or-not row operations on inverse soft matrices are defined. In addition, α-inverse intercept, α-inverse union, upper α-inverse scope and lower α-inverse scope operations and selection value are defined. Finally, a new inverse soft multiple decision making algorithm has been created.

Özet

Molodtsov tarafından ortaya atılan esnek küme teorisi, belirsizlikle başa çıkmak için etkili bir matematiksel araç olarak görülmektedir. Bu teori, bilgi sistemleri, karar verme problemleri, optimizasyon teorisi, cebirsel yapılar ve matematiksel analiz gibi belirsizlik içeren birçok alana uygulandı. Bu çalışmada ters esnek matrisler üzerinde ve, veya, ve-değil, veya-değil satır işlemleri olarak adlandırılan yeni işlemler tanımlanmıştır. Ayrıca α-ters kesişim, α-ters birleşim, üst α-ters kapsam ve alt α-ters kapsam işlemlerini ve seçim değerini tanımlanmıştır. Son olarak yeni bir ters esnek çoklu karar verme algoritması oluşturulmuştur.

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Cite This Article

Aygun, E., Ateş, R., Erdinç, S. (2021). Multiple Decision Making in Inverse Soft Matrices. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, Cilt: 37 Sayı: 2, 249–259. https://ajindex.com/articles/1266842

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References (12)

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