[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]

Copy

Enabling weakened hedgesin linguistic multi-criteria decision making()

弱化语言修饰词在多属性决策中的应用

Share：

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

弱化语言修饰词在多属性决策中的应用

Author(s):

Wang Hai, Xu Zeshui

School of Economics and Management, Southeast University, Nanjing 211189, China

王海, 徐泽水

东南大学经济管理学院, 南京 211189

Keywords:

decision making;  multi-criteria decision making;  linguistic term sets;  linguistic hedges;  similarity relation

决策;  多属性决策;  语言标度集;  语言修饰词;  相似关系

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.

为允许在语言多属性决策环境中使用“差不多”和“有点”等表示程度弱化的语言修饰词, 提出了一种基于语义的表示模型. 首先, 基于论域上语言标度的语义定义相似关系, 并通过计算语言标度的上近似和松上近似得到语言修饰词的表示方法, 进而推导出语言表达式的语义公式, 其中参数由语言标度的语义客观确定. 该模型具有清晰的语义, 且允许专家以更自然的方式表达不确定的决策信息. 将模型应用于可持续创新能源技术的评估和选择, 计算结果表明, 所提出的模型可以处理评估过程中存在的多种不确定性. 最后, 讨论了该模型与现有技术的区别, 并给出了该模型在语义为梯形模糊数情形下的拓展.

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.

Common functions