The aggregation operators based on the 2-dimension uncertain linguistic information and their application to decision making

International Journal of Machine Learning and Cybernetics

Volumn 7, Issue 6, 2016, Pages 1057-1074

  Liu, Peide ^a   Wang, Yumei ^a  

^a SHANDONG UNIVERSITY OF FINANCE AND ECONOMICS   (China)

Author keywords

2 Dimension uncertain linguistic information; Generalized aggregation operator; Multiple attribute decision making; Operational rule

Indexed keywords

FUZZY SETS; LINGUISTICS; MATHEMATICAL OPERATORS; STATISTICAL METHODS;

AGGREGATION OPERATOR; INTUITIONISTIC FUZZY NUMBER; MULTIPLE ATTRIBUTE DECISION MAKING; MULTIPLE ATTRIBUTE GROUP DECISION MAKINGS (MAGDM); OPERATIONAL RULE; UNCERTAIN LINGUISTIC; UNCERTAIN LINGUISTIC INFORMATIONS; UNCERTAIN LINGUISTIC VARIABLES;

DECISION MAKING;

EID: 84994512810     PISSN: 18688071     EISSN: 1868808X     Source Type: Journal    
DOI: 10.1007/s13042-015-0430-x     Document Type: Article

References (33)

1. Chu YC, Liu PD (2015) Some two-dimensional uncertain linguistic Heronian mean operators and their application in multiple-attribute decision making. Neural Comput Appl 26(6):1461–1480
2. Delgado M, Verdegay JL, Vila MA (1993) On aggregation operations of linguistic labels. Int J Intell Syst 8:351–370
3. Herrera F, Martínez L (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8:746–752
4. Liu PD (2012) An approach to group decision making based on 2-dimension uncertain linguistic information. Technol Econ Dev Econ 18:424–437
5. Liu PD (2013) Some geometric aggregation operators based on interval intuitionistic uncertain linguistic variables and their application to group decision making. Appl Math Model 37:2430–2444
6. Liu PD (2013) Some generalized dependent aggregation operators with intuitionistic linguistic numbers and their application to group decision making. J Comput Syst Sci 79(1):131–143
7. Liu PD (2013) The multi-attribute group decision making method based on the interval grey linguistic variables weighted aggregation operator. J Intell Fuzzy Syst 24(2):405–414
8. Liu PD, Chen YB, Chu YC (2014) Intuitionistic uncertain linguistic weighted bonferroni owa operator and its application to multiple attribute decision making. Cybern Syst 45(5):418–438
9. Liu PD, Chu YC, Li YW (2015) The multi-attribute group decision-making method based on the interval grey uncertain linguistic variable generalized hybrid averaging operator. Neural Comput Appl 26(6):1395–1405
10. Liu PD, Jin F (2012) Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making. Inf Sci 205:58–71
11. Liu PD, Liu ZM, Zhang X (2014) Some intuitionistic uncertain linguistic Heronian mean operators and their application to group decision making. Appl Math Comput 230:570–586
12. Liu PD, Qi XF (2014) Some generalized dependent aggregation operators with 2-dimension linguistic information and their application to group decision making. J Intell Fuzzy Syst 27:1761–1773
13. Liu PD, Shi LL (2015) Intuitionistic uncertain linguistic powered einstein aggregation operators and their application to multi-attribute group decision making. J Appl Anal Comput 5(4):534–561
14. Liu PD, Wang YM (2014) Multiple attribute group decision making methods based on intuitionistic linguistic power generalized aggregation operators. Appl Soft Comput 17:90–104
15. Liu PD, Yu XC (2014) 2-Dimension uncertain linguistic power generalized weighted aggregation operator and its application in multiple attribute group decision making. Knowl Based Syst 57:69–80
16. Wang X, Chen HY, Liu X (2011) Multiple attribute group decision making with interval two-tuple linguistic information based on deviation. Chin J Manag 8:301–305
17. Wang XZ, Dong CR (2009) Improving generalization of fuzzy if-then rules by maximizing fuzzy entropy. IEEE Trans Fuzzy Syst 17(3):556–567
18. Wang XZ, Dong LC, Yan JH (2012) Maximum ambiguity based sample selection in fuzzy decision tree induction. IEEE Trans Knowl Data Eng 24(8):1491–1505
19. Wang XZ, Xing HJ, Yan Li Y et al (2014) A study on relationship between generalization abilities and fuzziness of base classifiers in ensemble learning. IEEE Trans Fuzzy Syst. doi:10.1109/TFUZZ.2014.2371479
20. Wei GW (2009) Uncertain linguistic hybrid geometric mean operator and its Application to group decision making under uncertain linguistic environment. Int J Uncertain Fuzziness Knowl Based Syst 17(2):251–267
21. Wei GW, Zhao XF, Lin R, Wang HJ (2013) Uncertain linguistic Bonferroni mean operators and their application to multiple attribute decision making. Appl Math Model 37:5277–5285
22. Xiong W (2014) Games under ambiguous payoffs and optimistic attitudes. J Appl Math 2014:1–10
23. Xiong W, Liu HL (2014) On solving some paradoxes using the ordered weighted averaging operator based decision model. Int J Intell Syst 29(1):1–24
24. Xu ZS (2004) Uncertain multiattribute decision theory and its application. Tsinghua University Press, Beijing
25. Xu ZS (2008) Linguistic aggregation operators: an overview. Stud Fuzziness Soft Comput 220:163–181
26. Yager RR (1988) On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans Syst Man Cybern 18:183–190
27. You XY, You JX, Liu HC (2015) Group multi-criteria supplier selection using an extended VIKOR method with interval 2-tuple linguistic information. Expert Syst Appl 42(4):1906–1916
28. Yu XH, Xu ZS, Liu SS, Chen Q (2012) Multi-criteria decision making with 2-dimension linguistic aggregation techniques. Int J Intell Syst 27:539–562
29. Zadeh LA (1975) The concept of a linguistic variable and its applications to approximate reasoning. Inf Sci 8:199–249
30. Zhang C, Zhou GZ, Zhu WD (2012) Research on peer review system for the National Science Foundation based on two-dimensional semantics evidence reasoning. China Soft Sci 2:176–182 (In Chinese)
31. Zhou LG, Chen HY (2012) A generalization of the power aggregation operators for linguistic environment and its application in group decision making. Knowl Based Syst 26:216–224
32. Zhou LY, Lin R, Zhao XF, Wei GW (2013) Uncertain linguistic prioritized aggregation operators and their application to multiple attribute group decision making. Int J Uncertain Fuzziness Knowl Based Syst 21(4):603–627
33. Zhu WD, Zhou GZ, Yang SL (2009) An approach to group decision making based on 2-dimension linguistic assessment information. Syst Eng 27:113–118