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On the other hand, fuzzy neural network (FNN) provides a powerful tool for providing accurate crisp results, but does not have the ability to achieve linguistic outputs due to its crisp weights. This study extends the crisp weights of FNN to fuzzy ones to obtain linguistic outputs. And, a data-driven design method is proposed to construct this kind of fuzzily weighted FNN (FW-FNN). The proposed data-driven method includes four steps. Firstly, a fully connected FNN is generated. Then, the SVD-QR method based pruning strategy is presented to realize the structure reduction of the initial FW-FNN. Thirdly, the centers of the Gaussian fuzzy weights in the structure reduced FW-FNN are learned by the least square method. Fourthly, the multi-objective algorithm is utilized to optimize the widths of the Gaussian fuzzy weights to achieve the maximum of the average membership grades of the output fuzzy sets and the minimum of the coverage intervals of the linguistic outputs. To evaluate the proposed FW-FNN and the data-driven method, applications to the nonlinear dynamic system identification, the chaotic time series prediction and the traffic flow prediction are given. Simulation results demonstrate that the linguistic outputs can effectively capture the uncertainties and\/or noises in the observed data. It provides us a very useful tool for system modeling, prediction and identification especially when uncertainties and\/or noises should be taken into account.<\/jats:p>","DOI":"10.3233\/jifs-171348","type":"journal-article","created":{"date-parts":[[2018,1,19]],"date-time":"2018-01-19T10:58:24Z","timestamp":1516359504000},"page":"349-360","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":9,"title":["Data-driven design of the extended fuzzy neural network having linguistic outputs"],"prefix":"10.1177","volume":"34","author":[{"given":"Chengdong","family":"Li","sequence":"first","affiliation":[{"name":"School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zixiang","family":"Ding","sequence":"additional","affiliation":[{"name":"School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dianwei","family":"Qian","sequence":"additional","affiliation":[{"name":"School of Control and Computer Engineering, North China Electric Power University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yisheng","family":"Lv","sequence":"additional","affiliation":[{"name":"Institute of Automation, Chinese Academy of Sciences, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2018,1,12]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00485052"},{"key":"e_1_3_2_4_2","article-title":"An introduction to fuzzy logic applications in intelligent systems","volume":"165","author":"Yager R.R.","year":"1992","unstructured":"YagerR.R. and ZadehL.A., An introduction to fuzzy logic applications in intelligent systems, Springer International 165 (1992).","journal-title":"Springer International"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2015.2415412"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2015.2458896"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2013.2286416"},{"issue":"5","key":"e_1_3_2_8_2","first-page":"780","article-title":"Linguistic dynamic systems based on computing with words and their stabilities","volume":"52","author":"Hong M.O.","year":"2009","unstructured":"HongM.O. and WangF., Linguistic dynamic systems based on computing with words and their stabilities, Science in China Series F 52(5) (2009), 780\u2013796.","journal-title":"Science in China Series F"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1109\/72.159069"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)00319-3"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1109\/21.256541"},{"key":"e_1_3_2_12_2","unstructured":"LinC.T. and LeeC.G. 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