|Table of Contents|

[1] Wang Hai, Xu Zeshui,. Enabling weakened hedgesin linguistic multi-criteria decision making [J]. Journal of Southeast University (English Edition), 2016, 32 (1): 125-131. [doi:10.3969/j.issn.1003-7985.2016.01.021]
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Enabling weakened hedgesin linguistic multi-criteria decision making()
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
32
Issue:
2016 1
Page:
125-131
Research Field:
Economy and Management
Publishing date:
2016-03-20

Info

Title:
Enabling weakened hedgesin linguistic multi-criteria decision making
Author(s):
Wang Hai Xu Zeshui
School of Economics and Management, Southeast University, Nanjing 211189, China
Keywords:
decision making multi-criteria decision making linguistic term sets linguistic hedges similarity relation
PACS:
C934
DOI:
10.3969/j.issn.1003-7985.2016.01.021
Abstract:
A semantics-based model is proposed to enable weakened hedges, such as “more or less” and “roughly” in the context of linguistic multi-criteria decision making. First, the resemblance relations are defined based on the semantics of terms on the domain. Then, the hedges can be represented after the upper and loose upper approximations of a linguistic term are derived. Accordingly, some compact formulae can be derived for the semantics of linguistic expressions with hedges. Parameters in these formulae are objectively determined according to the semantics of original terms. The proposed model presents a more natural way to express the decision information under uncertainties and its semantics is clear. The proposed model is clarified by solving the problem of evaluation and selection of sustainable innovative energy technologies. Computational results demonstrate that the model can deal with various uncertainties of the problem. Finally, the model is compared with existing techniques and extended to the case when the semantics of terms are represented by trapezoidal fuzzy numbers.

References:

[1] Ma J, Lu J, Zhang G Q. Decider: a fuzzy multi-criteria group decision support system [J]. Knowledge-Based Systems, 2010, 23(1): 23-31. DOI:10.1016/j.knosys.2009.07.006.
[2] Qian G, Wang H, Feng X Q. Generalized hesitant fuzzy sets and their application in decision support system [J]. Knowledge-Based Systems, 2013, 37(1): 357-365. DOI:10.1016/j.knosys.2012.08.019.
[3] Zadeh L A. The concept of a linguistic variable and its application to approximate reasoning—Ⅰ [J]. Information Sciences, 1975, 8(3): 199-249.
[4] Rodríguez R M, Martínez L. An analysis of symbolic linguistic computing models in decision making [J]. International Journal of General Systems, 2013, 42(1): 121-136. DOI:10.1080/03081079.2012.710442.
[5] Rodríguez R M, Martínez L, Herrera F. Hesitant fuzzy linguistic term sets for decision making [J]. IEEE Transactions on Fuzzy Systems, 2012, 20(1): 109-119.
[6] Wang H. Extended hesitant fuzzy linguistic term sets and their aggregation in group decision making [J]. International Journal of Computational Intelligence Systems, 2014, 8(1): 14-33.
[7] Doukas H C, Andreas B M, Psarras J E. Multi-criteria decision aid for the formulation of sustainable technological energy priorities using linguistic variables [J]. European Journal of Operational Research, 2007, 182(2): 844-855. DOI:10.1016/j.ejor.2006.08.037.
[8] De Cock M, Cornelis C, Kerre E E. Fuzzy rough sets: The forgotten step [J]. IEEE Transactions on Fuzzy Systems, 2007, 15(1): 121-130.
[9] Zadeh L A. A fuzzy-set-theoretic interpretation of linguistic hedges [J]. Journal of Cybernetics, 1972, 2(3): 4-34.
[10] Cetisli B. The effect of linguistic hedges on feature selection: Part 2 [J]. Expert Systems with Applications, 2010, 37(8): 6102-6108. DOI:10.1016/j.eswa.2010.02.115.
[11] Bosc P, Hadjali A, Pivert O. Empty versus overabundant answers to flexible relational queries [J]. Fuzzy Sets and Systems, 2008, 159(12): 1450-1467. DOI:10.1016/j.fss.2008.01.007.
[12] De Cock M, Kerre E E. Fuzzy modifiers based on fuzzy relations [J]. Information Sciences, 2004, 160(1): 173-199.
[13] Kerre E E, De Cock M. Linguistic modifiers: An overview[M]//Fuzzy Logic and Soft Computing. Norwell, USA: Springer, 1999: 69-85.
[14] Xu Y J, Wang H M. Approaches based on 2-tuple linguistic power aggregation operators for multiple attribute group decision making under linguistic environment [J]. Applied Soft Computing, 2011, 11(5): 3988-3997. DOI:10.1016/j.asoc.2011.02.027.
[15] Cabrerizo F J, Herrera-Viedma E, Pedrycz W. A method based on PSO and granular computing of linguistic information to solve group decision making problems defined in heterogeneous contexts [J]. European Journal of Operational Research, 2013, 230(3): 624-633. DOI:10.1016/j.ejor.2013.04.046.
[16] Ansari M M T, Velusami S. DMLHFLC(dual mode linguistic hedge fuzzy logic controller)for an isolated wind-diesel hybrid power system with BES(battery energy storage)unit [J]. Energy, 2010, 35(9): 3827-3837. DOI:10.1016/j.energy.2010.05.037.
[17] Phuong L A, Khang T D. Generalized modus tollens with linguistic modifiers for inverse approximate reasoning [J]. International Journal of Computational Intelligence Systems, 2014, 7(3): 556-564. DOI:10.1080/18756891.2013.870766.
[18] Bartl E, Belohlavek R, Vychodil V. Bivalent and other solutions of fuzzy relational equations via linguistic hedges [J]. Fuzzy Sets and Systems, 2012, 187(1): 103-112. DOI:10.1016/j.fss.2011.05.020.
[19] De Cock M, Radzikowska A M, Kerre E E. A fuzzy-rough approach to the representation of linguistic hedges[M]//Technologies for Constructing Intelligent Systems 1: Tasks. Heidelberg, Germany:Physica-Verlag, 2002: 33-42.
[20] Yager R R. On ordered weighted averaging aggregation operators in multicriteria decision making [J]. IEEE Transactions on Systems, Man, and Cybernetics, 1988, 18(1): 183-190. DOI:10.1109/21.87068.

Memo

Memo:
Biographies: Wang Hai(1983—), male, graduate; Xu Zeshui(corresponding author), male, doctor, professor, xuzeshui@263.com.
Foundation items: The National Natural Science Foundation of China(No.61273209), the Scientific Research Foundation of Graduate School of Southeast University(No.YBJJ1528), the Scientific Innovation Research of College Graduates in Jiangsu Province(No.KYLX15-0191).
Citation: Wang Hai, Xu Zeshui.Enabling weakened hedges in linguistic multi-criteria decision making[J].Journal of Southeast University(English Edition), 2016, 32(1):125-131.DOI:10.3969/j.issn.1003-7985.2016.01.021.
Last Update: 2016-03-20