Abstract
Due to the complex application scenarios and different user requirements, it is usually difficult to evaluate communication technologies objectively and comprehensively. Compared with the traditional quantitative methods, multi-attribute group decision-making (MAGDM) methods based on qualitative analysis can reflect the evaluation opinions of experts more comprehensively. To address the above difficult by utilizing the advantage of the MAGDM based on qualitative analysis, this paper proposes a new linguistic expression model called uncertain linguistic term with weakened hedge (ULTWH), which expresses decision information better and closer to the original terms of experts, and then the model is applied to solve MAGDM problems. An ULTWH is consisted of a linguistic term interval where the real value of a linguistic variable is most likely to appear, and a weakened hedge which is used to express the degree of uncertainty. In the paper, the order relations, operation rules and the aggregation operators for ULTWHs are formulated and presented. Then, a new multi-granular group decision making (GDM) method based on ULTWHs is developed. After that, the developed method is used to solve a specific problem of communication technology evaluation. Finally, a comparative analysis of several multi-granular GDM methods is made. Through comparison, it is shown that the proposed method has a wider range of applications and better interpretability.
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References
Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning. Inf Sci 8(3):199–249
Herrera F, Martínez L (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8:746–752
Wang JH, Hao J (2006) A new version of 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 14(3):435–445
Zhu H, Zhao Jb, Xu Y (2016) 2-dimension linguistic computational model with 2-tuples for multi-attribute group decision making. Knowl-Based Syst 103:132–142
Wang JW (2021) Multi-criteria decision-making method based on a weighted 2-tuple fuzzy linguistic representation model. Int J Inf Technol Decis Mak. https://doi.org/10.1142/S0219622021500085
Malhotra T, Gupta A (2020) A new 2-tuple linguistic approach for unbalanced linguistic term sets. IEEE Trans Fuzzy Syst 99:1
Xu ZS (2004) A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inf Sci 166:19–30
Xu ZS, Wang H (2017) On the syntax and semantics of virtual linguistic terms for information fusion in decision making. Inf Fusion 34:43–48
Zadeh LA (1996) Fuzzy logic equals computing with words. IEEE Trans Fuzzy Syst 4:103–111
Zadeh LA (2012) Computing with words: What is computing with words (CWW)? Springer, Berlin Heidelberg
Mendel JM, Zadeh LA, Trillas E, Yager RR, Lawry J, Hagras H, Guadarrama S (2010) What computing with words means to me: discussion forum. IEEE Comput Intell Mag 5(1):20–26
Türkşen IB (2002) Type 2 representation and reasoning for CWW. Fuzzy Sets Syst 127:17–36
Herrera F, Herrera-Viedma E, Martínez L (2015) Computing with words for decision making versus linguistic decision making: A reflection on both scenarios. Stud Fuzziness Soft Comput 322:245–260
Basaran MA, Simonetti B, Basaran AA (2020) Quantification of qualitative assessments using computing with words: in framework of fuzzy set theory. Soft Comput 24:13565–13577
Herrera F, Herrera-Viedma E, Martínez L (2015) Computing with words for decision making versus linguistic decision making: A reflection on both scenarios. Stud Fuzziness Soft Comput 322:245–260
Rodríguez RM, Martínez L, Herrera F (2012) Hesitant fuzzy linguistic terms sets for decision making. IEEE Trans Fuzzy Syst 20:109–119
Xu ZS (2004) Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment. Inf Sci 168(1):171–184
Pang Q, Wang H, Xu ZS (2016) Probabilistic linguistic term sets in multi-attribute group decision making. Inf Sci 369:128–143
Jin C, Wang H, Xu ZS (2019) Uncertain probabilistic linguistic term sets in group decision making. Int J Fuzzy Syst 21:1241–1258
Jin C, Xu ZS, Wang JW (2020) Assessing economic losses of haze with uncertain probabilistic linguistic analytic hierarchy process. J Intell Fuzzy Syst 39(141):1–23
Wang H, Xu ZS, Zeng XJ (2018) Linguistic terms with weakened hedges: A model for qualitative decision making under uncertainty. Inf Sci 433:37–45
Wang H, Xu ZS, Zeng XJ, Liao HC (2019) Consistency measures of linguistic preference relations with hedges. IEEE Trans Fuzzy Syst 27(2):372–386
Lin MW, Xu ZS, Zhai YL, Yao Z (2017) Multi-attribute group decision-making under probabilistic uncertain linguistic environment. J Oper Res Soc 22:1–15
Zhu B, Xu ZS (2015) Extended hesitant fuzzy sets. Technol Econ Dev Econ 22(1):100–121
Dong YC, Wu YZ, Zhang HJ et al (2015) Multi-granular unbalanced linguistic distribution assessments with interval symbolic proportions. Knowl Based Syst 82:139–151
Herrera F, Herrera-Viedma E, Martínez L (2000) A fusion approach for managing multi-granularity linguistic term sets in decision making. Fuzzy Sets System 114:43–58
Chen ZF, Ben-Arieh D (2006) On the fusion of multi-granularity linguistic label sets in group decision making. Comput Ind Eng 51:526–541
Herrera F, Martínez L (2001) A model based on linguistic 2-tuples for dealing with multi-granular hierarchical linguistic contexts in multi-expert decision-making. IEEE Trans Syst Man Cybern 31:227–234
Espinilla M, Liu J, Martinez L (2011) An extended hierarchical linguistic model for decision-making problems. Comput Intell 27:489–512
Huynh VN, Nakamori Y (2005) A satisfactory-oriented approach to multi-expert decision-making with linguistic assessments. IEEE Trans Syst Man Cybern 35:184–196
Jiang YP, Fan ZP, Ma J (2008) A method for group decision making with multi-granularity linguistic assessment information. Inf Sci 178:1098–1109
Fan ZP, Liu Y (2010) A method for group decision-making based on multi-granularity uncertain linguistic information. Expert Syst Appl 37:4000–4008
Zhang Z, Guo C (2012) A method for multi-granularity uncertain linguistic group decision making with incomplete weight information. Knowl Based Syst 26:111–119
Xu ZS, Wang H (2016) Managing multi-granularity linguistic information in qualitative group decision making: an overview. Granul Comput 1:21–35
Torra V (2001) Aggregation of linguistic labels when semantics is based on antonyms. Int J Intell Syst 16(4):513–524
Patel YC, Refaqat OS (2010) Method and system for assessing wireless communication quality in a communications network. Application Number: 11/768595
Nan WG, Xiong WB, Cha GM (1999) Fuzzy technology in communication system estimating. Piezoelectrics Acoustooptics 4:259–262
Chen YD, Li SQ, Chen YF (2010) Effectiveness evaluation of integrated Anti-Jamming for wireless communication system. J Univ Electron Sci Technol China 39(2):196–199
Wu DH (2012) Research on reliability evaluation and simulation method of military communication network system. Master thesis: University of electronic science and technology of China. https://doi.org/10.7666/d.D763840
Wen DS (2013) Overview of information security risk assessment. China Sci Technol Inf 14:81
Guan K, Wang SF (2007) Research on fuzzy comprehensive evaluation of expressway communication system. Highway 5:106–110
Yu XD, Gao HS (2008) Availability analysis of communication system with fuzzy theory. Commun Technol 41(6):8–10
Zhang LP, Jin X, Wan L (2018) Applicability evaluation of local communication technology based on fuzzy analytic hierarchy process. Electric Power ICT 16(7):57–63
Liu J, Yi LZ, Pei Z (2018) A new linguistic term transformation method in linguistic decision making. J Intell Fuzzy Syst 35(2):2403–2412
Jiang YP, Fan ZP, Ma J (2008) A method for group decision making with multi-granularity linguistic assessment information. Inf Sci 178:1098–1109
Zhang RC, Xu ZS, Gou XJ (2021) An integrated method for multi-criteria decision-making based on the best-worst method and Dempster-Shafer evidence theory under double hierarchy hesitant fuzzy linguistic environment. Appl Intell 51:713–735
Acknowledgements
This work was supported by the Natural Science Foundation of China (Nos. 71771155) and the Major Program of the National Social Science Fund of China (Grant No. 17ZDA092).
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Jin, C., Xu, Z. & Zeng, X. Uncertain linguistic terms with weakened hedges for multi-granular linguistic decision making with its application to evaluating communication technologies. Appl Intell 52, 16758–16774 (2022). https://doi.org/10.1007/s10489-021-03127-2
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DOI: https://doi.org/10.1007/s10489-021-03127-2