| تعداد نشریات | 31 |
| تعداد شمارهها | 834 |
| تعداد مقالات | 8,015 |
| تعداد مشاهده مقاله | 14,854,096 |
| تعداد دریافت فایل اصل مقاله | 9,587,291 |
Hesitant Fuzzy Linguistic Arithmetic Aggregation Operators in Multiple Attribute Decision Making | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 2، دوره 13، شماره 4، آبان 2016، صفحه 1-16 اصل مقاله (382.54 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2592 | ||
| نویسندگان | ||
| Guiwu Wei* 1؛ Fuad E. Alsaadi2؛ Tasawar Hayat3؛ Ahmed Alsaedi4 | ||
| 1School of Business, Sichuan Normal University, Chengdu, 610101, P.R. China; Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia | ||
| 2Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia | ||
| 3Department of Mathematics, QuaidI-Azam University 45320, Islam- abad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia | ||
| 4Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia | ||
| چکیده | ||
| In this paper, we investigate the multiple attribute decision making (MADM) problem based on the arithmetic and geometric aggregation operators with hesitant fuzzy linguistic information. Then, motivated by the idea of traditional arithmetic operation, we have developed some aggregation operators for aggregating hesitant fuzzy linguistic information: hesitant fuzzy linguistic weighted average (HFLWA) operator, hesitant fuzzy linguistic ordered weighted average (HFLOWA) operator and hesitant fuzzy linguistic hybrid average (HFLHA) operator. Furthermore, we propose the concept of the dual hesitant fuzzy linguistic set and develop some aggregation operators with dual hesitant fuzzy linguistic information. Then, we have utilized these operators to develop some approaches to solve the hesitant fuzzy linguistic multiple attribute decision making problems. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness. | ||
| کلیدواژهها | ||
| Multiple attribute decision making (MADM)؛ Hesitant fuzzy linguistic values؛ Hesitant fuzzy linguistic hybrid average (HFLHA) operator؛ Dual hesitant fuzzy linguistic set | ||
| مراجع | ||
|
[1] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87{96. [2] K. Atanassov, More on intuitionistic fuzzy sets, Fuzzy Sets and Systems, 33 (1989), 37{46. [3] K. Atanassov, Two theorems for intuitionistic fuzzy sets, Fuzzy Sets and Systems, 110 (2000), 267{269. [4] S. M. Chen, S. H. Cheng and C. H. Chiou, Fuzzy multiattribute group decision making based on intuitionistic fuzzy sets and evidential reasoning methodology, Information Fusion, 27 (2016), 215{227. [5] T. Y. Chen, Bivariate models of optimism and pessimism in multi-criteria decision-making based on intuitionistic fuzzy sets, Information Sciences, 181 (2011), 2139{2165. [6] T. Y. Chen, The inclusion-based TOPSIS method with interval-valued intuitionistic fuzzy sets for multiple criteria group decision making, Appl. Soft Comput., 26 (2015), 57{73. [7] T. Y. Chen, An interval-valued intuitionistic fuzzy permutation method with likelihood- based preference functions and its application to multiple criteria decision analysis, Appl. Soft Comput., 42 (2016), 390-409. [8] F. Chiclana, F. Herrera and E. Herrera-Viedma, The ordered weighted geometric opera- tor: Properties and application, In: Proc of 8th Int Conf on Information Processing and Management of Uncertainty in Knowledge-based Systems, Madrid, (2000), 985-991. [9] M. Gabroveanu, I. Iancu and M. Cosulschi, An Atanassov's intuitionistic fuzzy reasoning model, Journal of Intelligent and Fuzzy Systems, 30(1) (2016), 117{128. [10] F. Herrera and E. Herrera-Viedma, Linguistic decision analysis: Steps for solving decision problems under linguistic information, Fuzzy Sets and Systems, 115 (2000), 67{82. [11] F. Herrera and L. Martnez, A 2-tuple fuzzy linguistic representation model for computing with words, IEEE Transactions on Fuzzy Systems, 8 (2000), 746{752. [12] J. Y. Huang, Intuitionistic fuzzy hamacher aggregation operators and their application to multiple attribute decision making, Journal of Intelligent and Fuzzy Systems, 27(1) (2014), 505{513. [13] X. P. Jiang and G. W. Wei, Some Bonferroni mean operators with 2-tuple linguistic infor- mation and their application to multiple attribute decision making, Journal of Intelligent and Fuzzy Systems, 27 (2014), 2153{2162. [14] D. F. Li, TOPSIS-based nonlinear-programming methodology for multiattribute decision making with interval-valued intuitionistic fuzzy sets, IEEE Transactions on Fuzzy Systems, 18 (2010), 299{311. [15] D. F. Li and H. P. Ren, Multi-attribute decision making method considering the amount and reliability of intuitionistic fuzzy information, Journal of Intelligent and Fuzzy Systems, 28(4) (2015), 1877{1883. [16] R. Lin, G. W. Wei, H. J. Wang and X. F. Zhao, Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making, Journal of Business Economics and Management, 15(5) (2014),795{809. [17] L. Martinez and F. Herrera, An overview on the 2-tuple linguistic model for computing with words in decision making: Extensions, applications and challenges, Information Sciences, 207(10) (2012), 1{18. [18] J. M. Merigo, A unied model between the weighted average and the induced OWA operator, Expert Systems with Applications, 38(9) (2011), 11560{11572. [19] J. M. Merigo and M. Casanovas, Fuzzy generalized hybrid aggregation operators and its application in decision making, International Journal of Fuzzy Systems, 12(1) (2010), 15{24. [20] J. M. Merigo and M. Casanovas, The fuzzy generalized OWA operator and its application in strategic decision making, Cybernetics & Systems, 41(5) (2010), 359{370. [21] J. M. Merigo, M. Casanovas and L. Martinez, Linguistic aggregation operators for linguistic decision making based on the Dempster-Shafer theory of evidence, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 18(3) (2010), 287{304. [22] J. M. Merigo and A. M. Gil-Lafuente, Decision making techniques in business and econom- ics based on the OWA operator, SORT-Statistics and Operations Research Transactions, 36(1) (2012), 81{102. [23] J. M. Merigo and A. M. Gil-Lafuente, Induced 2-tuple linguistic generalized aggregation operators and their application in decision-making, Information Sciences, 236(1) (2013), 1{16. [24] J. M. Merigo, A. M. Gil-Lafuente, L. G. Zhou and H. Y. Chen, Induced and linguistic generalized aggregation operators and their application in linguistic group decision making, Group Decision and Negotiation, 21(4) (2012), 531{549. [25] L. D. Miguel, H. Bustince, J. Fernandez, E. Indurain, A. Kolesarova and R. Mesiar, Construction of admissible linear orders for interval-valued Atanassov intuitionistic fuzzy sets with an application to decision making, Information Fusion, 27 (2016), 189{197. [26] V. Torra, The weighted OWA operator, International Journal of Intelligent Systems, 12 (1997), 153{166. [27] V. Torra, Hesitant fuzzy sets, International Journal of Intelligent Systems, 25 (2010), 529{539. [28] V. Torra and Y. Narukawa, On hesitant fuzzy sets and decision, In: The 18th IEEE International Conference on Fuzzy Systems, Jeju Island, Korea, (2009), 1378{1382. [29] H. J. Wang, X. F Zhao and G. W. Wei, Dual hesitant fuzzy aggregation operators in multiple attribute decision making, Journal of Intelligent and Fuzzy Systems, 26(5) (2014), 2281{2290. [30] X. R. Wang, Z. H. Gao, X. F. Zhao and G. W. Wei, Model for Evaluating the Government Archives Websites Construction Based on the GHFHWD Measure with Hesitant Fuzzy Information, International Journal of Digital Content Technology and its Applications, 5(12) (2011), 418{425. [31] G. W. Wei, Some geometric aggregation functions and their application to dynamic mul- tiple attribute decision making in intuitionistic fuzzy setting, International Journal of Un- certainty, Fuzziness and Knowledge-Based Systems, 17(2) (2009), 179{196. [32] G. W. Wei, Some induced geometric aggregation operators with intuitionistic fuzzy infor- mation and their application to group decision making, Applied Soft Computing, 10(2) (2010), 423{431. [33] G. W. Wei, Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making, Expert Systems with Applications, 38 (2011), 11671{11677. [34] G. W. Wei, Some harmonic averaging operators with 2-tuple linguistic assessment infor- mation and their application to multiple attribute group decision making, International Journal of Uncertainty, Fuzziness and Knowledge- Based Systems, 19(6) (2011), 977{998. [35] G. W. Wei, Hesitant fuzzy prioritized operators and their application to multiple attribute group decision making, Knowledge-Based Systems, 31 (2012), 176{182. [36] G. W. Wei, Approaches to interval intuitionistic trapezoidal fuzzy multiple attribute deci- sion making with incomplete weight information, International Journal of Fuzzy Systems, 17(3) (2015), 484{489. [37] G. W. Wei, R. Lin, X. F. Zhao and H. J. Wang, An approach to multiple attribute deci- sion making based on the induced Choquet integral with fuzzy number intuitionistic fuzzy information, Journal of Business Economics and Management, 15(2) (2014), 277{298. [38] G. W. Wei and N. Zhang, A multiple criteria hesitant fuzzy decision making with Shapley value-based VIKOR method, Journal of Intelligent and Fuzzy Systems, 26(2) (2014), 1065{ 1075. [39] G. W. Wei and X. F. Zhao, Some induced correlated aggregating operators with intuition- istic fuzzy information and their application to multiple attribute group decision making, Expert Systems with Applications, 39(2) (2012), 2026{2034. [40] G. W. Wei and X. F. Zhao, Some dependent aggregation operators with 2-tuple linguistic information and their application to multiple attribute group decision making, Expert Systems with Applications, 39 (2012), 5881{5886. [41] G. W. Wei and X. F. Zhao, Induced hesitant interval-valued fuzzy einstein aggregation operators and their application to multiple attribute decision making, Journal of Intelligent and Fuzzy Systems, 24 (2013), 789{803. [42] G. W. Wei, X. F. Zhao, H. J. Wang and R. Lin, Hesitant fuzzy choquet integral aggregation operators and their applications to multiple attribute decision making, Information: An International Interdisciplinary Journal, 15(2) (2012), 441{448. [43] G. W. Wei, H. J. Wang, X. F. Zhao and R. Lin, Hesitant triangular fuzzy information ag- gregation in multiple attribute decision making, Journal of Intelligent and Fuzzy Systems, 26(3) (2014), 1201{1209. [44] G. W. Wei, H. J. Wang, X. F. Zhao and R. Lin, Approaches to hesitant fuzzy multiple attribute decision making with incomplete weight information, Journal of Intelligent and Fuzzy Systems, 26(1) (2014), 259{266. [45] M. Xia and Z. S. Xu, Hesitant fuzzy information aggregation in decision making, Interna- tional Journal of Approximate Reasoning, 52(3) (2011), 395{407. [46] Z. S. Xu, A method based on linguistic aggregation operators for group decision making with linguistic preference relations, Information Sciences, 166(1) (2004), 19{30. [47] Z. S. Xu, Intuitionistic fuzzy aggregation operators, IEEE Transations on Fuzzy Systems, 15(6) (2007), 1179{1187. [48] Z. S. Xu and Q. L. Da, An overview of operators for aggregating information, International Journal of Intelligent System, 18 (2003), 953{969. [49] Z. S. Xu and M. Xia, Distance and similarity measures for hesitant fuzzy sets, Information Sciences, 181(11) (2011), 2128{2138. [50] Z. S. Xu and M. Xia, On distance and correlation measures of hesitant fuzzy information, International Journal of Intelligence Systems, 26(5) (2011), 410{425. [51] Z. S. Xu, M. Xia and N. Chen, Some hesitant fuzzy aggregation operators with their application in group decision making, Group Decision and Negotiation, 22(2) (2013), 259{279. [52] Z. S. Xu and R. R. Yager, Some geometric aggregation operators based on intuitionistic fuzzy sets, International Journal of General System, 35 (2006), 417{433. [53] R. R. Yager, Including importances in OWA aggregation using fuzzy systems modelling, IEEE Transactions on Fuzzy Systems, 6 (1998), 286{294. [54] R. R. Yager, On ordered weighted averaging aggregation operators in multicriteria decision making, IEEE Transactions on Systems Man and Cybernetics, 18 (1988), 183{190. [55] R. R. Yager, K. J. Engemann and D. P. Filev, On the concept of immediate probabilities, International Journal of Intelligent Systems, 10 (1995), 373{397. [56] R. R. Yager and D. P. Filev, Induced ordered weighted averaging operators, IEEE Trans- actions on Systems, Man, and Cybernetics- Part B, 29 (1999), 141{150. [57] R. R. Yager, Prioritized aggregation operators, International Journal of Approximate Rea- soning, 48 (2008), 263{274. [58] O. Y. Yao and W. Pedrycz, A new model for intuitionistic fuzzy multi-attributes decision making, European Journal of Operational Research, 249(2) (2016), 677{682. [59] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338{356. [60] X. F. Zhao, Q. X. Li, G. W. Wei, Some prioritized aggregating operators with linguistic information and their application to multiple attribute group decision making, Journal of Intelligent and Fuzzy Systems, 26(4) (2014), 1619{1630. [61] L. Y. Zhou, R. Lin, X. F. Zhao and G. W. Wei, Uncertain linguistic prioritized aggregation operators and their application to multiple attribute group decision making, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 21(4) (2013), 603{627. [62] B. Zhu, Z. S. Xu and M. M. Xia, Hesitant fuzzy geometric Bonferroni means, Information Sciences, Information Sciences, 205(1) (2012), 72{85. | ||
|
آمار تعداد مشاهده مقاله: 2,694 تعداد دریافت فایل اصل مقاله: 3,287 |
||