(Department of Computer Science, Hue University of Education, Hue University, Viet Nam)(2) Hoai Nhan Tran
(Department of Computer Science, Hue University of Education, Hue University, Viet Nam)(3) Thi Uyen Thi Nguyen
(Department of Computer Science, Hue University of Education, Hue University, Viet Nam)(4) Dinh Khang Tran
(SoICT, Hanoi University of Science and Technology, Viet Nam)*corresponding author
AbstractThere are various types of multi-attribute decision-making (MADM) problems in our daily lives and decision-making problems under uncertain environments with vague and imprecise information involved. Therefore, linguistic multi-attribute decision-making problems are an important type studied extensively. Besides, it is easier for decision-makers to use linguistic terms to evaluate/choose among alternatives in real life. Based on the theoretical foundation of the Hedge algebra and linguistic many-valued logic, this study aims to address multi-attribute decision-making problems by linguistic valued qualitative aggregation and reasoning method. In this paper, we construct a finite monotonous Hedge algebra for modeling the linguistic information related to MADM problems and use linguistic many-valued logic for deducing the outcome of decision making. Our method computes directly on linguistic terms without numerical approximation. This method takes advantage of linguistic information processing and shows the benefit of Hedge algebra.
KeywordsLinguistic MADM; Multi-attribute decision-making; Hedge algebra; Linguistic many-valued logic; Linguistic reasoning
|
DOIhttps://doi.org/10.26555/ijain.v8i1.820 |
Article metricsAbstract views : 990 | PDF views : 247 |
Cite |
Full Text Download
|
References
[1] Z. Wu and Y. Chen, “The maximizing deviation method for group multiple attribute decision making under linguistic environment,” Fuzzy Sets Syst., vol. 158, no. 14, pp. 1608–1617, Jul. 2007, doi: 10.1016/j.fss.2007.01.013.
[2] L. Yang and Y. Xu, “A decision method based on uncertainty reasoning of linguistic truth-valued concept lattice,” Int. J. Gen. Syst., vol. 39, no. 3, pp. 235–253, 2010, doi: 10.1080/03081070903552817.
[3] Z. Xu, Linguistic decision making: Theory and methods, vol. 9783642294, no. April 2012. 2012. doi: 10.1007/978-3-642-29440-2
[4] F. Herrera and E. Herrera-Viedma, “Linguistic decision analysis: Steps for solving decision problems under linguistic information,” Fuzzy Sets Syst., vol. 115, no. 1, pp. 67–82, 2000, doi: 10.1016/S0165-0114(99)00024-X.
[5] M. Shao, Z. Han, J. Sun, C. Xiao, S. Zhang, and Y. Zhao, “A review of multi-criteria decision making applications for renewable energy site selection,” Renew. Energy, vol. 157, pp. 377–403, 2020, doi: 10.1016/j.renene.2020.04.137.
[6] S. Manna, T. M. Basu, and S. K. Mondal, “A new algorithmic approach to linguistic valued soft multi-criteria group decision-making problems using linguistic scale function,” Appl. Soft Comput., vol. 83, p. 105651, Oct. 2019, doi: 10.1016/j.asoc.2019.105651.
[7] S. Yu, J. Wang, J. Wang, and L. Li, “A multi-criteria decision-making model for hotel selection with linguistic distribution assessments,” Appl. Soft Comput., vol. 67, pp. 741–755, Jun. 2018, doi: 10.1016/j.asoc.2017.08.009.
[8] H. Garg and K. Kumar, “Multiattribute decision making based on power operators for linguistic intuitionistic fuzzy set using set pair analysis,” Expert Syst., vol. 36, no. 4, Aug. 2019, doi: 10.1111/exsy.12428.
[9] L. Sun, H. Dong, and A. X. Liu, “Aggregation Functions Considering Criteria Interrelationships in Fuzzy Multi-Criteria Decision Making: State-of-the-Art,” IEEE Access, vol. 6, pp. 68104–68136, 2018, doi: 10.1109/ACCESS.2018.2879741.
[10] E. Kazimieras Zavadskas, J. Antucheviciene, and P. Chatterjee, “Multiple-Criteria Decision-Making (MCDM) Techniques for Business Processes Information Management,” Information, vol. 10, no. 1, p. 4, Dec. 2018, doi: 10.3390/info10010004.
[11] J. Liu, M. Wang, P. Xu, S. Zeng, and M. Liu, “Intuitionistic linguistic multi-attribute decision making algorithm based on integrated distance measure,” Econ. Res. Istraživanja, vol. 32, no. 1, pp. 3667–3683, Jan. 2019, doi: 10.1080/1331677X.2019.1646146.
[12] C. N. Wang, C. Y. Yang, and H. C. Cheng, “A fuzzy multicriteria decision-making (MCDM) model for sustainable supplier evaluation and selection based on triple bottom line approaches in the garment industry,” Processes, vol. 7, no. 7, pp. 1–13, 2019, doi: 10.3390/pr7070400.
[13] F. Sitorus, J. J. Cilliers, and P. R. Brito-Parada, “Multi-criteria decision making for the choice problem in mining and mineral processing: Applications and trends,” Expert Syst. Appl., vol. 121, pp. 393–417, May 2019, doi: 10.1016/j.eswa.2018.12.001.
[14] X. Hu, S. Yang, and Y.-R. Zhu, “Multiple Attribute Decision Making Based on Linguistic Generalized Weighted Heronian Mean,” Symmetry (Basel)., vol. 13, no. 7, p. 1191, Jul. 2021, doi: 10.3390/sym13071191.
[15] Liu, Zhao, Li, Wang, and Wang, “A Novel Multi-Attribute Decision Making Method Based on The Double Hierarchy Hesitant Fuzzy Linguistic Generalized Power Aggregation Operator,” Information, vol. 10, no. 11, p. 339, Oct. 2019, doi: 10.3390/info10110339.
[16] G. O. Odu, “Weighting methods for multi-criteria decision making technique,” J. Appl. Sci. Environ. Manag., vol. 23, no. 8, p. 1449, Sep. 2019, doi: 10.4314/jasem.v23i8.7.
[17] 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, vol. 7, no. 5, p. 413, May 2019, doi: 10.3390/math7050413.
[18] S. Chen, J. Liu, H. Wang, Y. Xu, and J. C. Augusto, “A linguistic multi-criteria decision making approach based on logical reasoning,” Inf. Sci. (Ny)., vol. 258, pp. 266–276, 2014, doi: 10.1016/j.ins.2013.08.040.
[19] N. Cat Ho and W. Wechler, “Hedge algebras: An algebraic approach to structure of sets of linguistic truth values,” Fuzzy Sets Syst., vol. 35, no. 3, pp. 281–293, 1990, doi: 10.1016/0165-0114(90)90002-N.
[20] V. H. Le, F. Liu, and D. K. Tran, “Fuzzy linguistic logic programming and its applications,” Theory Pract. Log. Program., vol. 9, no. 3, pp. 309–341, 2009, doi: 10.1017/S1471068409003779.
[21] L. A. Phuong and T. D. Khang, “Generalized If ... Then...Else Inference Rules with Linguistic Modifiers for Approximate Reasoning,” Int. J. Comput. Sci. Issues, vol. 9, no. 6, pp. 184–190, 2012. Available at: Google Scholar.
[22] A. P. Le and D. K. Tran, “A Resolution Method for Linguistic Many-valued Logic,” Appl. Math. Inf. Sci., vol. 3, 2013. Available at: Google Scholar.
[23] D. Vukadinović, T. D. Nguyen, C. H. Nguyen, N. L. Vu, M. Bašić, and I. Grgić, “Hedge-Algebra-Based Phase-Locked Loop for Distorted Utility Conditions,” J. Control Sci. Eng., vol. 2019, no. March, 2019, doi: 10.1155/2019/3590527.
[24] C. H. Nguyen, D. K. Tran, H. Van Nam, and H. C. Nguyen, “Hedge algebras, linguistic-value logic and their application to fuzzy reasoning,” Int. J. Uncertainty, Fuzziness Knowledge-Based Syst., vol. 07, no. 04, pp. 347–361, Aug. 1999, doi: 10.1142/S0218488599000301.
[25] N. C. Ho, T. D. Khang, H. Van Nam, and N. H. Chau, “Hedge algebras, linguistic-valued logic and their application to fuzzy reasoning,” Int. J. Uncertainty, Fuzziness Knowlege-Based Syst., vol. 7, no. 4, pp. 347–361, 1999, doi: 10.1142/s0218488599000301.
[26] L. A. Phuong and T. D. Khang, “Generalized Modus Tollens with Linguistic Modifiers for Inverse Approximate Reasoning,” Int. J. Comput. Intell. Syst., vol. 7, no. 3, pp. 556–564, 2014, doi: 10.1080/18756891.2013.870766.
[27] N. Cat Ho, “A Method in Linguistic Reasoning on a Knowledge Base Representing by Sentences with Linguistic Belief Degree*,” Fundam. lnformaticae, vol. 28, pp. 247–259, 1996. doi: 10.3233/FI-1996-283403
[28] N. C. Ho, “A Method in Linguistic Reasoning on a Knowledge Base Representing by Sentences with Linguistic Belief Degree,” Fundam. Informaticae, vol. 28, no. 3,4, pp. 247–259, 1996, doi: 10.3233/FI-1996-283403.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
___________________________________________________________
International Journal of Advances in Intelligent Informatics
ISSN 2442-6571 (print) | 2548-3161 (online)
Organized by UAD and ASCEE Computer Society
Published by Universitas Ahmad Dahlan
W: http://ijain.org
E: info@ijain.org (paper handling issues)
andri.pranolo.id@ieee.org (publication issues)
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0