Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 6

A novel probabilistic distance measure for picture fuzzy sets with its application in classification problems

Sayfa
2134–2153
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The uncertainty feature of the problem has been handled in a more broader sense reflecting the advantage of the introduced approach.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In the present communication, we propose the probabilistic distance measure for picture fuzzy sets where the probability of occurrence/non-occurrence of the picture fuzzy event have been incorporated.
📊
Temel Bulgular & Veri:This framework has been clearly addressed through outline of a formulated problem and its probable solution structure along with its proof of validity.
💡
Sonuç & Katkı:The uncertainty feature of the problem has been handled in a more broader sense reflecting the advantage of the introduced approach.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Picture Fuzzy Set · Distance Measure · Probabilistic randomness

Abstract

In the present communication, we propose the probabilistic distance measure for picture fuzzy sets where the probability of occurrence/non-occurrence of the picture fuzzy event have been incorporated. This framework has been clearly addressed through outline of a formulated problem and its probable solution structure along with its proof of validity. Further, the proposed probabilistic distance measure has been utilized to present an algorithm for solving some classification decision making problems in a more generalized way. Some important illustrative examples related to the problem of classification - building material classification, mineral classification and a decision making problem of financial investment risk have been worked out to exhibit the implementation of the proposed methodology. The obtained results have also been compared with the existing approaches of solving the classification problems. The uncertainty feature of the problem has been handled in a more broader sense reflecting the advantage of the introduced approach.

🔖

Bu Makaleye Atıf Yap

Guleria, A., Bajaj, R. K. (2022). A novel probabilistic distance measure for picture fuzzy sets with its application in classification problems. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 6, 2134–2153. https://ajindex.com/articles/529574

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  1. K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20, 87–96, 1986
  2. K.T. Atanassov, Geometrical interpretation of the elements of the intuitionistic fuzzy objects, Int. J. Bioautomation 20 (1), S27–S42, 2016
  3. R.K. Bajaj and A. Guleria, Dimensionality reduction technique in decision making using Pythagorean fuzzy soft matrices, Recent Advances in Computer Science and Communications (Formerly: Recent Patents on Computer Science) 13 (3), 406–413, 2020
  4. P. Burillo and H. Bustince, Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy Sets and Systems 78, 305–316, 1996
  5. B.C. Cuong, Picture fuzzy sets–first results. Part 1, in preprint of seminar on Neuro- Fuzzy Systems with Applications, Institute of Mathematics, 2013
  6. B.C. Cuong, Picture fuzzy sets, Journal of Computer Science and Cybernetics 30, 409–420, 2014
  7. N.V. Dinh, N.X. Thao, and N.M. Chau, Distance and dissimilarity measure of picture fuzzy sets, in Conf. FAIR 10, 104–109, 2017
  8. P. Dutta, Medical diagnosis via distance measures on picture fuzzy sets, Advances in Modelling and Analysis 54, 137–152, 2017
  9. F. Feng, H. Fujita, M. Irfan Ali, R.R. Yager, and X. Liu, Another view on generalized intuitionistic fuzzy soft sets and related multiattribute decision making methods, IEEE Trans Fuzzy Syst 27 (3), 474–488, 2019
  10. F. Feng, M. Liang, H. Fujita, R.R. Yager, and X. Liu, Lexicographic orders of intuitionistic fuzzy values and their relationships, Mathematics 7 (2), 166, 2019
  11. F. Feng, Z. Xu, H. Fujita, and M. Liang, Enhancing PROMETHEE method with intuitionistic fuzzy soft sets, Int. J. Intell. Syst 35, 1071–1104, 2020
  12. F. Feng, Y. Zheng, J.C.R. Alcantud, and Q. Wang, Minkowski weighted score functions of intuitionistic fuzzy values, Mathematics 8, 1143, 2020
  13. H. Garg and G. Kaur, Novel distance measures for cubic intuitionistic fuzzy sets and their applications to pattern recognitions and medical diagnosis, Granular Computing 5, 169–184, 2020
  14. A. Guleria and R.K. Bajaj, On Pythagorean fuzzy soft matrices, operations and their applications in decision making and medical diagnosis, Soft Comput. 23, 7889–7900, 2019
  15. A. Guleria and R.K. Bajaj, Pythagorean fuzzy (R, S)-norm discriminant measure in various decision making processes, J. Intell. Fuzzy Syst. 38, 761–777, 2020
  16. A. Guleria and R.K. Bajaj, A robust decision Making Approach for hydrogen power plant site selection utilizing (R, S)-norm Pythagore