SavedAdd your journal

Journals / Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2018 / Cilt: 22 - Sayı: Özel

Novel Multi-Criteria Decision Making Method based on The Ranking Values of Interval Type-2 Fuzzy Sets: An Application of a Manager Selection for a Telecommunication Company

Aralık Tip-2 Bulanık Kümelerin Sıralanmasına dayalı Yeni Bir Çok Kriterli Karar Verme Yöntemi: Bir Telekomünikasyon Şirketi için Yönetici Seçimi Uygulaması

Nimet YAPICI PEHLİVAN
Aynur ŞAHİN
Pages
290–296
Publication Date
2022-11-05
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Finally, the outcomes of MCDMmethods based on the ranking values of IT2FSs are obtained and also comparedwith the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS)method based on Type-1 fuzzy sets (T1FSs) for a numerical example.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Type-2 fuzzy sets (T2FSs), characterized by a fuzzy membershipfunction, are much useful tool for representing the decision knowledge in thedecision making process.
📊
Key Findings & Data:Interval Type-2 fuzzy sets (IT2FSs) are the mostcommonly used T2FSs.
💡
Conclusion & Impact:Finally, the outcomes of MCDMmethods based on the ranking values of IT2FSs are obtained and also comparedwith the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS)method based on Type-1 fuzzy sets (T1FSs) for a numerical example.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Type-2 fuzzy sets (T2FSs), characterized by a fuzzy membershipfunction, are much useful tool for representing the decision knowledge in thedecision making process. Interval Type-2 fuzzy sets (IT2FSs) are the mostcommonly used T2FSs. In this study, a method based upon ranking values ofIT2FSs is used to tackle multi-criteria decision making (MCDM) problems. First,some basic concepts and arithmetic operations for IT2FSs are presented. Then,three kinds of fuzzy ranking methods, proposed by [1], based on arithmeticaverage (AA), geometric average (GA) and harmonic average (HA) operators tocompute the ranking values of IT2FSs are applied. Finally, the outcomes of MCDMmethods based on the ranking values of IT2FSs are obtained and also comparedwith the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS)method based on Type-1 fuzzy sets (T1FSs) for a numerical example.

Özet

Bulanık üyelik fonksiyonuna sahip olan Tip-2 bulanık kümeler, karar verme aşamasında karar matrisinin belirlenmesinde çok kullanışlı bir araçtır. Aralık Tip-2 bulanık kümeler, en yaygın olarak kullanılan Tip-2 bulanık kümelerdir. Bu çalışmada, çok kriterli karar verme (ÇKKV) problemlerini çözmek için aralık Tip-2 bulanık kümelerin sıralanmasına dayalı bir yöntem kullanıldı. İlk olarak, aralık Tip-2 bulanık kümeler için bazı temel kavramlar ve aritmetik işlemleri tanıtıldı. Daha sonra, aralık Tip-2 bulanık kümelerin sıralama değerlerini hesaplamak için [1] tarafından önerilen, aritmetik ortalama (AO), geometrik ortalama (GO) ve harmonik ortalama (HO) işlemlerine dayalı 3 çeşit bulanık sıralama yöntemi uygulandı. Son olarak, aralık Tip-2 bulanık kümelerin sıralanmasına dayalı ÇKKV yönteminin sonuçları elde edildi ve sayısal bir örnek ile Tip-1 bulanık kümelere dayalı ideal çözüme yakınlığa göre tercihlerin sıralanması (TOPSIS) yöntemi ile karşılaştırıldı.

🔖

Cite This Article

PEHLİVAN, N. Y., ŞAHİN, A. (2022). Novel Multi-Criteria Decision Making Method based on The Ranking Values of Interval Type-2 Fuzzy Sets: An Application of a Manager Selection for a Telecommunication Company. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 22 - Sayı: Özel, 290–296. https://ajindex.com/articles/654273

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (15)

  1. Quin, J., Liu, X. 2015. Multi-attribute group decision making using combined ranking vaue under interval type-2 fuzzy environment. Information Sciences 297, 293-315
  2. Chen, S. M. 1988. A new approach to handling fuzzy decision making problems. IEEE Transactions on Systems, Man, and Cybernetics, 18(6), 1012–1016
  3. Chen, C. T. 2000. Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets and Systems, 114(1), 1–9
  4. Wang, W., Liu X., Quin, Y. 2012. Multi-attribute group decision making models under interval type-2 fuzzy environment. Knowledge-Based System 30 (2012),121-128
  5. Liginlal, D., Ow, T. T. 2006. Modeling attitude to risk in human decision processes: An application of fuzzy measures. Fuzzy Sets and Systems, 157(23), 3040–3054
  6. Wang T. C., Chang, T. H. 2007. Application of TOPSIS in evaluating initial training aircraft under a fuzzy environment. Expert Systems with Applications, 33(4), 870–880
  7. Fu, G. 2008. A fuzzy optimization method for multicriteria decision making: An application to reservoir flood control operation. Expert Systems with Applications, 34(1), 145–149
  8. Hua, Z., Gong, B., Xu, X. 2008. A DS–AHP approach for multi-attribute decision making problem with incomplete information. Expert Systems with Applications, 34(3), 2221–2227
  9. Lin, Y. H, Lee, P. C., Ting, H. I. 2008. Dynamic multi-attribute decision making model with grey number evaluations. Expert Systems with Applications, 35(4), 1638–1644
  10. Zadeh, L. A. 1965. Fuzzy sets. Information and Control, 8, 338–353
  11. Zadeh, L. A. 1975. The concept of a linguistic variable and its application to approximate reasoning—I. Information sciences, 8(3), 199- 249
  12. Lee, L. W., Chen, S. M. 2008. A new method for fuzzy multiple attributes group decision-making based on the arithmetic operations of interval type-2 fuzzy sets. International Conference on Machine Learning and Cybernetic, Kunming, China. 3084–3089
  13. Chen, S. M., Lee, L. W. 2010a. Fuzzy multiple attributes group decision-making based on ranking values and the arithmetic operations of interval type-2 fuzzy sets. Expert Systems with Applications, 37(1), 824–833
  14. Chen, S. M., Lee, L. W. 2010b. Fuzzy multiple attributes group decision-making based on interval type-2 TOPSIS method. Expert Systems with Applications, 37(4), 2790–2798
  15. Chen, S. M., Yang, M. Y., Lee, L. W., Yang, S.W. 2012. Fuzzy multiple attributes group decisionmaking based on ranking interval