Connection number of set pair analysis based TOPSIS method on intuitionistic fuzzy sets and their application to decision making

Applied Intelligence

Volumn 48, Issue 8, 2018, Pages 2112-2119

  Kumar, Kamal ^a   Garg, Harish ^a  

^a THAPAR UNIVERSITY   (India)

Author keywords

Connection number; Decision making problems; Intuitionistic fuzzy set; Set pair analysis; TOPSIS

Indexed keywords

DECISION MAKING;

CONNECTION NUMBER; DECISION-MAKING PROBLEM; INTUITIONISTIC FUZZY SETS; SET PAIR ANALYSIS; TOPSIS;

FUZZY SETS;

EID: 85050140972     PISSN: 0924669X     EISSN: 15737497     Source Type: Journal    
DOI: 10.1007/s10489-017-1067-0     Document Type: Article

References (35)

1. Atanassov K, Gargov G (1989) Interval-valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31:343–349
2. Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96
3. Bai ZY (2013) An interval-valued intuitionistic fuzzy TOPSIS method based on an improved score function. The Scientific World Journal Volume 2013, Article ID 879,089 6 pages
4. Boran FE, Genċ S, Akay D (2011) Personnel selection based on intuitionistic fuzzy sets. Human Factors and Ergonomics in Manufacturing & Service Industries 21(5):493–503
5. ChangJian W (2007) Application of the set pair analysis theory in multiple attribute decision-making. J Mech Strength 6:029
6. Fu S, Zhou H (2017) Triangular fuzzy number multi-attribute decision-making method based on set-pair analysis. J Softw Eng 11(1):116–122
7. Garg H (2016) Generalized intuitionistic fuzzy interactive geometric interaction operators using einstein t-norm and t-conorm and their application to decision making. Comput Ind Eng 101:53– 69
8. Garg H (2016) Generalized intuitionistic fuzzy multiplicative interactive geometric operators and their application to multiple criteria decision making. Int J Mach Learn Cybern 7(6):1075–1092
9. Garg H (2016) A new approach for solving fuzzy differential equations using runga Ü kutta and biogeography Ü based optimization. J Intell Fuzzy Syst, IOS Press 30:2417–2429
10. Garg H (2016) A new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems. Appl Soft Comput 38:988–999. 10.1016/j.asoc.2015.10.040
11. Garg H (2016) A new generalized pythagorean fuzzy information aggregation using einstein operations and its application to decision making. Int J Intell Syst 31(9):886–920
12. Garg H (2016) A novel accuracy function under interval-valued pythagorean fuzzy environment for solving multicriteria decision making problem. J Intell Fuzzy Syst 31(1):529–540
13. Garg H (2016) Some series of intuitionistic fuzzy interactive averaging aggregation operators. SpringerPlus 5 (1):999. 10.1186/s40064-016-2591-9
14. Garg H (2017) Generalized pythagorean fuzzy geometric aggregation operators using Einstein t-norm and t-conorm for multicriteria decision-making process. Int J Intell Syst 32(6):597–630
15. Garg H (2017) Novel intuitionistic fuzzy decision making method based on an improved operation laws and its application. Eng Appl ArtifIntell 60:164–174
16. Garg H, Agarwal N, Tripathi A (2015) Entropy based multi-criteria decision making method under fuzzy environment and unknown attribute weights. Global J Technol Optim 6:13–20
17. Hu J, Yang L (2011) Dynamic stochastic multi-criteria decision making method based on cumulative prospect theory and set pair analysis. Syst Eng Procedia 1:432–439
18. Hung CC, Chen LH (2009) A fuzzy TOPSIS decision making method with entropy weight under intuitionistic fuzzy environment. In: Proceedings of the international multiconference of engineers and computer scientists 2009
19. Hwang CL, Yoon K (1981) Multiple attribute decision making methods and applications a state-of-the-art survey. Springer, Berlin
20. Jiang YL, Xu CF, Yao Y, Zhao KQ (2004) Systems information in set pair analysis and its applications. In: Proceedings of 2004 international conference on machine learning and cybernetics, vol 3, pp 1717–1722
21. Joshi D, Kumar S (2014) Intuitionistic fuzzy entropy and distance measure based topsis method for multi-criteria decision making. Egyptian Informatics Journal 15(2):97–104
22. Kumar K, Garg H (2016) TOPSIS Method based on the connection number of set pair analysis under interval-valued intuitionistic fuzzy set environment. Comput Appl Math 1–11. 10.1007/s40314-016-0402-0
23. Nancy, Garg H (2016) Novel single-valued neutrosophic decision making operators under frank norm operations and its application. Int J Uncertain Quantif 6(4):361–375
24. Rui Y, Zhongbin W, Anhua P (2012) Multi-attribute group decision making based on set pair analysis. Int J Advancements in Computing Technology 4(10):205–213
25. Sahin R (2016) Fuzzy multicriteria decision making method based on the improved accuracy function for interval-valued intuitionistic fuzzy sets. Soft Comput 20(7):2557– 2563
26. Sivaraman G, Nayagam VLG, Ponalagusamy R (2013) Multi-criteria interval valued intuitionistic fuzzy decision making using a new score function. In: KIM 2013 knowledge and information management conference. pp 122–131
27. Wang JQ, Gong L (2009) Interval probability stochastic multi-criteria decision-making approach based on set pair analysis. Control and Decision 24:1877–1880
28. Wang W, Liu X (2012) Intuitionistic fuzzy information aggregation using einstein operations. IEEE Trans Fuzzy Syst 20(5):923–938
29. Wang X, Triantaphyllou E (2008) Ranking irregularities when evaluating alternatives by using some electre methods. Omega - Int J Manag Sci 36:45–63
30. Xie Z, Zhang F, Cheng J, Li L (2013) Fuzzy multi-attribute decision making methods based on improved set pair analysis. In: Sixth international symposium on computational intelligence and design, vol. 2, pp 386–389
31. Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15:1179–1187
32. Xu ZS, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35:417–433
33. Yang J, Zhou J, Liu L, Li Y, Wu Z (2008) Similarity measures between connection numbers of set pair analysis. Springer, Berlin, pp 63–68
34. Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353
35. Zhao K (1989) Set pair and set pair analysis-a new concept and systematic analysis method. In: Proceedings of the national conference on system theory and regional planning, pp 87–91