Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2021 / Cilt: 39 - Sayı: 2

A comparison of the performance of entropy measures for interval-valued intuitionistic fuzzy sets

Pages
131–147
Publication Date
2021-06-02
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)

In order to understand whether a variation of fuzziness degree of one or more elements of IVIFSs change the ranking results, selected IVIFSs are modified diversely.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Entropy measure is a significant tool to define unclear information.
📊
Key Findings & Data:The purpose of this study is to compare the performance of different entropy measures developed for IVIFSs.
💡
Conclusion & Impact:In order to understand whether a variation of fuzziness degree of one or more elements of IVIFSs change the ranking results, selected IVIFSs are modified diversely.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Entropy · interval-valued intuitionistic fuzzy sets · performance test

Abstract

Entropy measure is a significant tool to define unclear information. But, entropy measures for interval-valued intuitionistic fuzzy sets (IVIFSs) cannot be easily understood intuitively. So, it is highly important to compare the existing measures to select a reliable entropy measure in studies. The purpose of this study is to compare the performance of different entropy measures developed for IVIFSs. The numerical examples are presented to show whether entropy measures for IVIFSs are effective in representing the fuzziness degree. In order to understand whether a variation of fuzziness degree of one or more elements of IVIFSs change the ranking results, selected IVIFSs are modified diversely.

🔖

Cite This Article

KOKOÇ, M., ERSÖZ, S. (2021). A comparison of the performance of entropy measures for interval-valued intuitionistic fuzzy sets. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 39 - Sayı: 2, 131–147. https://ajindex.com/articles/419023

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (16)

  1. Zadeh L.A. Fuzzy sets, Information and Control 1965; 8(3):338-353
  2. Atanassov K. Intuitionistic fuzzy sets, Fuzzy Sets and Systems 1986; 20 (1):87–96
  3. Atanassov K. More on intuitionistic fuzzy sets. Fuzzy Sets and Systems 1989; 33(1):37-45
  4. Pedrycz, W. Granular computing: analysis and design of intelligent systems. CRC Press; 2018
  5. Liu, Y., Jiang, W. A new distance measure of interval-valued intuitionistic fuzzy sets and its application in decision making. Soft Computing 2019; 1-17
  6. Li, D. F. Extension principles for interval-valued intuitionistic fuzzy sets and algebraic operations. Fuzzy Optimization and Decision Making 2011;10(1): 45-58
  7. Chen, T. Y. Interval-valued intuitionistic fuzzy QUALIFLEX method with a likelihood-based comparison approach for multiple criteria decision analysis. Information Sciences 2014; 261:149-169
  8. Chen, T. Y. IVIF-PROMETHEE outranking methods for multiple criteria decision analysis based on interval-valued intuitionistic fuzzy sets. Fuzzy Optimization and Decision Making 2015;14(2):173-198
  9. Park, J. H., Cho, H. J., Kwun, Y. C. Extension of the VIKOR method for group decision making with interval-valued intuitionistic fuzzy information. Fuzzy Optimization and Decision Making 2011; 10(3): 233-253
  10. Kacar, S., Eksi, Z., Akgul, A., Horasan, F. MATLAB paralel hesaplama araç kutusu ile shannon entropi hesaplanmasi. 1st Internatonal Symposum on Innovatve Technologes in Engneerng and Science 2013; 765-773
  11. Zhang, Q. S., Jiang, S. Y., Jia, B. G., Luo, S. H. Some information measures for interval-valued intuitionistic fuzzy sets. Information Sciences 2010;180:5130–5145
  12. Burillo, P., Bustince, H. Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets. Fuzzy sets and systems 1996; 78(3): 305-316
  13. Liu, X. D., Zheng, S. H., Xiong, F. L. Entropy and subsethood for general interval-valued intuitionistic fuzzy sets. In International Conference on Fuzzy Systems and Knowledge Discovery, Springer, Berlin, Heidelberg, 2005
  14. Wei, C. P., Wang, P., Zhang, Y. Z. Entropy, similarity measure for inter- val-valued intuitionistic fuzzy sets and their application. Information Sciences 2011;181(19): 4273–4286
  15. Gao, Z.,Wei, C. Formula of interval-valued intuitionistic fuzzy entropy and its applications. Jisuanji Gongcheng yu Yingyong(Computer Engineering and Applications) 2012;48(2): 53–55
  16. Jin, F., Pei, L., Chen, H., Zhou, L. Interval-valued intuitionistic fuzzy continuous