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(2) The algorithm is sensitive to the image noise and cannot obtain the satisfying performance on images corrupted by noise. (3) It always performs image segmentation under one objective function, therefore it cannot meet multiple practical needs. In order to address these problems, a multi-objective interval valued fuzzy clustering algorithm is proposed in this paper. This method constructs two novel interval valued fuzzy fitness functions which utilize the non-local spatial information of the image. Then a new mutation operator combining the interval valued fuzzy information of image is designed. Furthermore, an effective interval valued fuzzy cluster validity index using the non-local spatial information of image is presented to select a single solution from the non-dominated solution set. Experimental results show that the proposed method behaves well in noisy image segmentation.<\/jats:p>","DOI":"10.3233\/jifs-181191","type":"journal-article","created":{"date-parts":[[2019,6,14]],"date-time":"2019-06-14T15:36:45Z","timestamp":1560526605000},"page":"5333-5344","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["A multi-objective interval valued fuzzy clustering algorithm with spatial information for noisy image segmentation"],"prefix":"10.1177","volume":"36","author":[{"given":"Feng","family":"Zhao","sequence":"first","affiliation":[{"name":"Key Laboratory of Electronic Information Application Technology for Scene Investigation, Ministry of Public Security, Xi\u2019an, China"},{"name":"School of Communications and Information Engineering, Xi\u2019an University of Posts and Telecommunications, Xi\u2019an, China"}]},{"given":"Chaoqi","family":"Li","sequence":"additional","affiliation":[{"name":"Key Laboratory of Electronic Information Application Technology for Scene Investigation, Ministry of Public Security, Xi\u2019an, China"},{"name":"School of Communications and Information Engineering, Xi\u2019an University of Posts and Telecommunications, Xi\u2019an, China"}]},{"given":"Hanqiang","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Computer Science, Shaanxi Normal University, Xi\u2019an, China"}]},{"given":"Jiulun","family":"Fan","sequence":"additional","affiliation":[{"name":"Key Laboratory of Electronic Information Application Technology for Scene Investigation, Ministry of Public Security, Xi\u2019an, China"},{"name":"School of Communications and Information Engineering, Xi\u2019an University of Posts and Telecommunications, Xi\u2019an, China"}]}],"member":"179","published-online":{"date-parts":[[2019,6,11]]},"reference":[{"key":"e_1_3_2_2_2","volume-title":"Digital Image Processing","author":"Gonzalez R.C.","year":"1992","unstructured":"GonzalezR.C., WoodsR.E., Digital Image Processing, Addison-Wesely, Massachusetts, 1992."},{"issue":"3","key":"e_1_3_2_3_2","first-page":"62","article-title":"An integrated QFD-TOPSIS approach for supplier selection under fuzzy environment: A case of detergent manufacturing industry","volume":"9","author":"Rahpeyma B.","year":"2018","unstructured":"RahpeymaB., ZareiM., An integrated QFD-TOPSIS approach for supplier selection under fuzzy environment: A case of detergent manufacturing industry, International Journal of Service Science, Management, Engineering, and Technology (IJSSMET) 9(3) (2018), 62\u201381.","journal-title":"International Journal of Service Science, Management, Engineering, and Technology (IJSSMET)"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-152640"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-141378"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2010.12.019"},{"key":"e_1_3_2_7_2","doi-asserted-by":"crossref","unstructured":"DunnJ.C. 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