SavedAdd your journal

Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2019 / Cilt: 9 - Sayı: 1

A Novel Approach to Similarity of Soft Sets

Esnek Kümelerin Benzerliğine Yeni Bir Yaklaşım

Hüseyin KAMACI
Pages
23–35
Publication Date
2022-10-12
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, it is givenexamples of how this similarity coefficient can be used to solve the problems in variousfields involving the uncertainty.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main objective of this paper is to present a new perspective for the similaritybetween soft sets.
📊
Key Findings & Data:Therefore, the concept of similarity coefficient for soft sets is defined.Also, some theoretical investigations for this concept are presented.
💡
Conclusion & Impact:Finally, it is givenexamples of how this similarity coefficient can be used to solve the problems in variousfields involving the uncertainty.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The main objective of this paper is to present a new perspective for the similaritybetween soft sets. Therefore, the concept of similarity coefficient for soft sets is defined.Also, some theoretical investigations for this concept are presented. Finally, it is givenexamples of how this similarity coefficient can be used to solve the problems in variousfields involving the uncertainty.

Özet

Bu çalışmanın temel amacı esnek kümeler arasındaki benzerlik için yeni bir bakış açısı sunmaktır. Bu bağlamda, ilk olarak esnek kümeler için benzerlik katsayısı kavramı tanımlanmıştır. Ayrıca, bu kavram için bazı teorik araştırmalar sunulmuştur. Son olarak, bu benzerlik katsayısının belirsizlik içeren çeşitli alanlardaki problemleri çözmede nasıl kullanılabileceğinin örnekleri verilmiştir.

🔖

Cite This Article

KAMACI, H. (2022). A Novel Approach to Similarity of Soft Sets. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 9 - Sayı: 1, 23–35. https://ajindex.com/articles/428475

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (19)

  1. Ali, M. I., Feng, F., Liu, X., Min, W. K. and Shabir, M., On Some New Operations in Soft Set Theory, Comput. Math. Appl., 57, 1547-1553, 2009.
  2. Ali, M. I., Shabir, M. and Naz, M., Algebraic Structures of Soft Sets Associated with New Operations, Comput. Math. Appl., 61, 2647-2654, 2011.
  3. Alshehri, N. O., Akram, M. and Al-ghami, R. S., Applications of Soft Sets in K-algebras, Adv. Fuzzy Syst., Article ID 319542, 2013.
  4. Atagün, A. O., Kamacı, H. and Oktay, O., Reduced Soft Matrices and Generalized Products with Applications in Decision Making, Neural Comput. Appl., 29, 445-456, 2018.
  5. Basu, T. M., Mahapatra, N. M. and Mondal, S. K., Matrices in Soft Set Theory and Their Applications in Decision Making Problems, South Asian J. Math., 2, 126-143, 2012.
  6. Çağman, N. and Enginoğlu, S., Soft Matrix Theory and Its Decision Making, Comput. Math. Appl., 59, 3308-3314, 2010.
  7. Çağman, N. and Enginoğlu, S., Soft Set Theory and Uni-int Decision Making, Eur. J. Oper. Res., 207, 848-855, 2010.
  8. Kamacı, H., Atagün, A. O. and Sönmezoğlu, A., Row-Products of Soft Matrices with Applications in Multiple-Disjoint Decision Making, Appl. Soft Comput., 62, 892-914, 2018.
  9. Kharal, A., Distance and Similarity Measures for Soft Sets, New Math. Nat. Comput., 6, 321-334, 2010.
  10. Maji, P. K., Biswas, R. and Roy, A. R., Soft Set Theory, Comput. Math. Appl., 45, 555-562, 2003.
  11. Maji, P. K., Roy, A. R. and Biswas, R., An Application of Soft Sets in a Decision Making Problem, Comput. Math. Appl., 44, 1077-1083, 2002.
  12. Majumdar, P. and Samanta, S. K., Similarity Measure of Soft Sets, New Math. Nat. Comput., 4, 1-12, 2008.
  13. Molodtsov, D., Soft Set Theory-First Results, Comput. Math. Appl., 37, 19- 31, 1999.
  14. Pei, D. and Miao, D., From Soft Sets to Information Systems, in: X. Hu, Q. Liu, A. Skowron, T. Y. Lin, R. R. Yager, B. Zhang (eds.), Proceedings of Granular Computing, IEEE, 2, 617-621, 2005.
  15. Sezgin, A. and Atagün, A. O., On Operations of Soft Sets, Comput. Math. Appl., 61, 1457-1467, 2011.
  16. Sezgin, A., Atagün, A. O. and Aygün, E., A Note on Soft Near-Rings and Idealistic Soft Near-Rings, Filomat, 25, 53-68, 2011.
  17. Yang, W., New Similarity Measures for Soft Sets and Their Application, Fuzzy Inf. Eng., 1, 19-25, 2013.
  18. Yang, Y., Zeng, L., Tan, X. and Chen, H., Similarity Coefficient in Soft Set Theory, Fuzzy Inf. Eng., 1, 119-126, 2013.
  19. Zhu, P. and Wen, Q., Operations of Soft Set Revisited, J. Appl. Math., Article ID 105752, 2013.