Korean Journal of Mathematics

  • 제28권2호
  • /
  • Pages.343-359
  • /
  • 2020
  • /
  • 1976-8605(pISSN)
  • /
  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

AGGREGATION OPERATORS OF CUBIC PICTURE FUZZY QUANTITIES AND THEIR APPLICATION IN DECISION SUPPORT SYSTEMS

  • Ashraf, Shahzaib (Department of Mathematics, Abdul Wali Khan University) ;
  • Abdullah, Saleem (Department of Mathematics, Abdul Wali Khan University) ;
  • Mahmood, Tahir (Department of Mathematics and Statistics International Islamic University)
  • 투고 : 2019.04.06
  • 심사 : 2020.06.17
  • 발행 : 2020.06.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

The paper aim is to resolve the issue of ranking to the fuzzy numbers in decision analysis, artificial intelligence and optimization. In the literature lot of ideologies have been established for ranking to the fuzzy numbers, that ideologies have some restrictions and limitations. In this paper, we proposed a method based on cubic picture fuzzy information's, for ranking to defeat the existing restrictions. Further introduced some cubic picture fuzzy algebraic and cubic picture fuzzy algebraic* aggregated operators for aggregated the information. Finally, a multi-attribute decision making problem is assumed as a practical application to establish the appropriateness and suitability of the proposed ranking approach.

키워드

참고문헌

  1. S. Abdullah and S. Ashraf, Cubic picture fuzzy sets and their application to a petroleum circulation center evaluation problem, Sigma 10 (2 (2019)), 99-133.
  2. S. Ashraf, T. Mahmood, S. Abdullah, and Q. Khan, Different approaches to multi-criteria group decision making problems for picture fuzzy environment, Bulletin of the Brazilian Mathematical Society. New Series, 50 (2) (2019), 373-397. https://doi.org/10.1007/s00574-018-0103-y
  3. S. Ashraf, S. Abdullah, T. Mahmood, and M. Aslam, Cleaner Production Evaluation in Gold Mines Using Novel Distance Measure Method with Cubic Picture Fuzzy Numbers, International Journal of Fuzzy Systems 21 (8) (2019), 2448-2461. https://doi.org/10.1007/s40815-019-00681-3
  4. S. Ashraf and S. Abdullah, Some novel aggregation operators for cubic picture fuzzy information: application in multi-attribute decision support problem, Granular Computing (2020), 1-16. https://doi.org/10.1007/s41066-020-00219-1
  5. S. Ashraf, S. Abdullah, T. Mahmood, F. Ghani, and T. Mahmood, Spherical fuzzy sets and their applications in multi-attribute decision making problems, Journal of Intelligent & Fuzzy Systems, 36 (3) (2019), 2829-2844. https://doi.org/10.3233/JIFS-172009
  6. S. Ashraf, and S. Abdullah, Spherical aggregation operators and their application in multiattribute group decision-making, International Journal of Intelligent Systems, 34 (3) (2019), 493-523. https://doi.org/10.1002/int.22062
  7. S. Ashraf, S. Abdullah and T. Mahmood, Spherical fuzzy Dombi aggregation operators and their application in group decision making problems, Journal of Ambient Intelligence and Humanized Computing, 2019. 1-19. https://doi.org/10.1007/s12652-019-01333-y
  8. S. Ashraf, S. Abdullah, M. Aslam, M. Qiyas, and M.A. Kutbi, Spherical fuzzy sets and its representation of spherical fuzzy t-norms and t-conorms, Journal of Intelligent & Fuzzy Systems, 36 (6) (2019), 6089-6102. https://doi.org/10.3233/JIFS-181941
  9. S. Ashraf, S. Abdullah, and L. Abdullah, Child Development Influence Environmental Factors Determined Using Spherical Fuzzy Distance Measures, Mathematics 7 (8) (2019), p.661. https://doi.org/10.3390/math7080661
  10. K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96. https://doi.org/10.1016/S0165-0114(86)80034-3
  11. K. Atanassov, G. Gargov, Interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 31 (1989), 343-349. https://doi.org/10.1016/0165-0114(89)90205-4
  12. K. Atanassov, Remark on intuitionistic fuzzy numbers, Notes on intuitionistic fuzzy sets 13 (2007), 29-32.
  13. B. Batool, M. Ahmad, S. Abdullah, S. Ashraf, and R. Chinram, Entropy Based Pythagorean Probabilistic Hesitant Fuzzy Decision Making Technique and Its Application for Fog-Haze Factor Assessment Problem, Entropy 22 (3) (2020), p.318. https://doi.org/10.3390/e22030318
  14. B. C. Cuong, V. H. Phan, Some fuzzy logic operations for picture fuzzy sets, in preceding of seventh international conference on knowledge and system engineering (IEEE) (2015).
  15. B. C. Cuong, K. Vladik, T. N. Roan , A classification of representable t-norm operators for picture fuzzy sets, in preceding of eight international conference on knowledge and system engineering (IEEE) (2016).
  16. B. C. Cuong, Picture Fuzzy Sets- a new concept for computational intelligence problems, In Proceedings of the Third World Congress on Information and Communication Technologies (2013), 1-6.
  17. H. Garg, Some Picture Fuzzy Aggregation Operators and Their Applications to Multicriteria Decision-Making, Arabian Journal For Science And Engineering (2017).
  18. Y. B. Jun, C. S. Kim and K. O. Yang, Cubic sets, Ann. Fuzzy Math. Inform. 4 (1) (2012) , 83-98.
  19. Y. B. Jun, C. S. Kim and M. S. Kang, Cubic subalgebras and ideals of BCK/BCI-algebras, Far East. J. Math. Sci. 44 (2010), 239-250.
  20. Y. B. Jun, C. S. Kim and J. G. Kang, Cubic q-ideals of BCI-algebras, Ann. Fuzzy Math. Inf. 1 (2011), 25-34.
  21. H. Jin, S. Ashraf, S. Abdullah, M. Qiyas, M. Bano, and S. Zeng, Linguistic Spherical Fuzzy Aggregation Operators and Their Applications in Multi-Attribute Decision Making Problems, Mathematics 7 (5) (2019), p.413. https://doi.org/10.3390/math7050413
  22. Y. Jin, S. Ashraf, and S. Abdullah, Spherical Fuzzy Logarithmic Aggregation Operators Based on Entropy and Their Application in Decision Support Systems, Entropy 21 (7) (2019), p.628. https://doi.org/10.3390/e21070628
  23. T. Mahmood, F. Mehmood, Q. Khan, Cubic Hesitant Fuzzy Sets and Their Applications to Multi Criteria Decision Making, International Journal of Algebra and Statistics 5 (1) (2016), 19-51. https://doi.org/10.20454/ijas.2016.1055
  24. T. Mahmood, S. Abdullah, S. Rashid, M. Bilal, Multicriteria Decision Making Based On Cubic Sets, Journal of New Theory 16 (2017), 01-09.
  25. M. Qiyas, S. Abdullah, S. Ashraf, and M. Aslam, Utilizing linguistic picture fuzzy aggregation operators for multiple-attribute decision-making problems, International Journal of Fuzzy Systems 22 (1) (2020), 310-320. https://doi.org/10.1007/s40815-019-00726-7
  26. M. Qiyas, S. Abdullah, S. Ashraf, and L. Abdullah, Linguistic Picture Fuzzy Dombi Aggregation Operators and Their Application in Multiple Attribute Group Decision Making Problem, Mathematics 7 (8) (2019), p.764. https://doi.org/10.3390/math7080764
  27. P. Singh, Correlation coefficients for picture fuzzy sets, J. Intell. Fuzzy Syst. 28, 591-604 (2015). https://doi.org/10.3233/IFS-141338
  28. L. H. Son, Generalized picture distance measure and applications to picture fuzzy clustering, Appl. Soft Comput. 46 (2016), 284-295. https://doi.org/10.1016/j.asoc.2016.05.009
  29. G. W. Wei, Picture fuzzy cross-entropy for multiple attribute decision making problems, J. Bus. Econ. Manag. 17 (4) (2016), 491-502. https://doi.org/10.3846/16111699.2016.1197147
  30. R. R. Yager, Pythagorean fuzzy subsets. In: Proc Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada, June 24-28th (2013), 57-61.
  31. L. A. Zadeh, Fuzzy sets, Information and Control 8 (3) (1965), 338-356. https://doi.org/10.1016/S0019-9958(65)90241-X
  32. S. Zeng, S. Asharf, M. Arif, and S. Abdullah, Application of exponential jensen picture fuzzy divergence measure in multi-criteria group decision making, Mathematics 7 (2) (2019), p.191. https://doi.org/10.3390/math7020191

피인용 문헌

  1. An Approach of Interval-Valued Picture Fuzzy Uncertain Linguistic Aggregation Operator and Their Application on Supplier Selection Decision-Making in Logistics Service Value Concretion vol.2021, 2020, https://doi.org/10.1155/2021/8873230