Journals / Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi / 2022 / Cilt: 28 - Sayı: 1

A novel circular intuitionistic fuzzy AHP&VIKOR methodology: An application to a multi-expert supplier evaluation problem

Yeni bir dairesel sezgisel bulanık AHP&VIKOR metodolojisi: Çok uzmanlı tedarikçi değerlendirme problemine uygulama

Pages
194–207
Publication Date
2022-02-28
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)

The results obtained from the proposed methodology are compared with other methods, and a sensitivity analysis is performed as well.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:VIKOR method being one of the frequently used Multi-Criteria Decision Making (MCDM) methods, is based on the distances of alternatives to positive and negative ideal solutions, and presents compromising solutions.
📊
Key Findings & Data:Circular intuitionistic fuzzy sets (C-IFS) are the latest extension of ordinary fuzzy sets, which was introduced by Atanassov [1].
💡
Conclusion & Impact:The results obtained from the proposed methodology are compared with other methods, and a sensitivity analysis is performed as well.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bulanık AHP · Bulanık VIKOR · Dairesel sezgisel bulanık kümeler

Abstract

VIKOR method being one of the frequently used Multi-Criteria Decision Making (MCDM) methods, is based on the distances of alternatives to positive and negative ideal solutions, and presents compromising solutions. AHP is another MCDM method dividing the big problem into small and manageable problems through pairwise comparisons of criteria and alternatives. In these methods, linguistic assessments are generally preferred since exact numerical assignments of criteria values are really difficult and experts can not reflect the thoughts in their minds with crisp numbers. The fuzzy set theory captures the vagueness and impreciseness in these linguistic assessments successfully thorough fuzzy numbers. Circular intuitionistic fuzzy sets (C-IFS) are the latest extension of ordinary fuzzy sets, which was introduced by Atanassov [1]. C-IFS help experts to define membership (belongingness) and nonmembership (unbelongingness) degrees by incorporating the uncertainty of these degrees. In this paper, an integrated C-IF AHP & CIF VIKOR methodology is developed and applied to a multi-expert supplier evaluation problem. The results obtained from the proposed methodology are compared with other methods, and a sensitivity analysis is performed as well.

Özet

Sık kullanılan Çok Ölçütlü Karar Verme (ÇÖKV) yöntemlerinden biri olan VIKOR yöntemi, alternatiflerin pozitif ve negatif ideal çözümlere olan uzaklıklarını temel alır ve uzlaşmacı çözümler sunar. AHP, ölçütlerin ve alternatiflerin ikili olarak karşılaştırılması yoluyla büyük bir problemi küçük ve yönetilebilir problemlere bölen bir başka ÇÖKV yöntemidir. Bu yöntemlerde, ölçüt değerlerinin kesin sayısal atamalarının gerçekten zor olması ve uzmanların düşüncelerini net rakamlarla yansıtamamaları gibi nedenlerle genellikle dilsel değerlendirmeler tercih edilmektedir. Bulanık küme teorisi, bu dilbilimsel değerlendirmelerdeki belirsizlik ve kesin olmama durumlarını bulanık sayıları kullanarak başarıyla ele alır. Dairesel sezgisel bulanık kümeler (D-SBK), Atanassov [1] tarafından tanıtılan sıradan bulanık kümelerin en son uzantısıdır. D-SBK, üyelik (aidiyet) ve üye olmama (aidiyetsizlik) derecelerindeki belirsizlikleri de göz önüne alarak uzmanların bu dereceleri tanımlamalarına yardımcı olur. Bu çalışmada, bütünleşik D-SB AHP ve D-SB VIKOR metodolojisi geliştirilmiş ve çok uzmanlı bir tedarikçi değerlendirme problemine uygulanmıştır. Önerilen metodolojiden elde edilen sonuçlar, diğer yöntemlerle karşılaştırılmakta ve duyarlılık analizi de yapılmaktadır.

🔖

Cite This Article

OTAY, İ., KAHRAMAN, C. (2022). A novel circular intuitionistic fuzzy AHP&VIKOR methodology: An application to a multi-expert supplier evaluation problem. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, Cilt: 28 - Sayı: 1, 194–207. https://ajindex.com/articles/394872

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (18)

  1. Atanassov KT. “Circular intuitionistic fuzzy sets”. Journal of Intelligent & Fuzzy Systems, 39(5), 5981-5986, 2020
  2. Opricovic S, Tzeng GH. “Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS”. European Journal of Operational Research, 156, 445-455, 2004
  3. Zadeh LA. “Fuzzy set”. Information Control, 18(2), 338-353, 1965
  4. Yager RR. “On the theory of bags”. International Journal of General System, 13(1), 23-37, 1986
  5. Atanassov KT. “Intuitionistic fuzzy sets”. Fuzzy Sets and Systems, 20, 87-96, 1986
  6. Cuong BC. “Picture fuzzy sets”. Journal of Computer Science and Cybernetics, 30(4), 409-420, 2014
  7. Kutlu Gündoğdu F, Kahraman C. “Spherical fuzzy sets and spherical fuzzy TOPSIS method”. Journal of Intelligent & Fuzzy Systems, 36(1), 337-352, 2019
  8. Saaty TL. The Analytic Hierarchy Process. New York, USA, McGraw-Hill, 1980
  9. Narayanamoorthy S, Geetha S,Rakkiyappan R, Joo YH. “Interval-valued intuitionistic hesitant fuzzy entropy based VIKOR method for industrial robots selection”. Expert Systems with Applications, 121, 28-37, 2019
  10. Ren Z, Xu Z, Wang H. “Dual hesitant fuzzy VIKOR method for multi-criteria group decision making based on fuzzy measure and new comparison method”. Information Sciences, 388–389, 1-16, 2017
  11. Kahraman C, Öztayşi B, Çevik Onar S. “A comprehensive literature review of 50 years of fuzzy set theory”. International Journal of Computational Intelligence Systems, 9, 3-24, 2016
  12. Van Laarhoven PJM, Pedrycz W. “A fuzzy extension of Saaty’s priority theory”. Fuzzy Sets and Systems, 11, 229-241, 1983
  13. Buckley JJ. “Fuzzy hierarchical analysis”. Fuzzy Sets and Systems, 17(3), 233-247, 1985
  14. Chang DY. “Applications of the extent analysis method on fuzzy AHP”. European Journal of Operational Research, 95, 649-655, 1996
  15. Kahraman C, Oztaysi B, Ucal Sarı I, Turanoğlu E. “Fuzzy analytic hierarchy process with interval type-2 fuzzy sets”. Knowledge-Based Systems, 59, 48-57, 2014
  16. Ayodele TR, Ogunjuyigbe ASO, Odigie O, Munda JL. “A multi-criteria GIS based model for wind farm site selection using interval type-2 fuzzy analytic hierarchy process: The case study of Nigeria”. Applied Energy, 228, 1853-1869, 2018
  17. Oztaysi B, Onar SC, Bolturk E, Kahraman C. “Hesitant fuzzy analytic hierarchy process”. 2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), Istanbul, Turkey, 02-05 August 2015
  18. Senvar O. “A systematic customer oriented approach based o