{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,17]],"date-time":"2026-01-17T22:15:24Z","timestamp":1768688124927,"version":"3.49.0"},"publisher-location":"New York, NY","reference-count":31,"publisher":"Springer New York","isbn-type":[{"value":"9781461466659","type":"print"},{"value":"9781461466666","type":"electronic"}],"license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-1-4614-6666-6_10","type":"book-chapter","created":{"date-parts":[[2013,6,25]],"date-time":"2013-06-25T00:54:59Z","timestamp":1372121699000},"page":"147-163","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Construction of Interval Type-2 Fuzzy Sets From Fuzzy Sets: Methods and Applications"],"prefix":"10.1007","author":[{"given":"Miguel","family":"Pagola","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Edurne","family":"Barrenechea","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Javier","family":"Fern\u00e1ndez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aranzazu","family":"Jurio","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mikel","family":"Galar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jose Antonio","family":"Sanz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Daniel","family":"Paternain","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Carlos","family":"Lopez-Molina","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juan","family":"Cerr\u00f3n","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Humberto","family":"Bustince","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,6,25]]},"reference":[{"issue":"4","key":"10_CR1","doi-asserted-by":"publisher","first-page":"841","DOI":"10.1109\/TFUZZ.2010.2046176","volume":"18","author":"J Aisbett","year":"2010","unstructured":"Aisbett, J., Rickard, J.T., Morgenthaler, D.G.: Type-2 fuzzy sets as functions on spaces. IEEE Trans. Fuzzy Syst. 18(4), 841\u2013844 (2010)","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10_CR2","doi-asserted-by":"crossref","unstructured":"Barrenechea, E., Fern\u00e1ndez, A., Herrera, F., Bustince, H.: Construction of Interval-valued fuzzy preference relations using ignorance functions. Interval-valued Non Dominance Criterion, Advances in Intelligent and Soft Computing 107, Eurofuse : Workshop on Fuzzy Models and. Knowledge-Based Systems, 243\u2013257 (2011)","DOI":"10.1007\/978-3-642-24001-0_23"},{"key":"10_CR3","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1016\/S0165-0114(98)00279-6","volume":"114","author":"H Bustince","year":"2000","unstructured":"Bustince, H., Kacpryzk, J., Mohedano, V.: Intuitionistic fuzzy generators\u2014application to intuitionistic fuzzy complementation. Fuzzy Sets Syst. 114, 485\u2013504 (2000)","journal-title":"Fuzzy. Sets. Syst."},{"key":"10_CR4","doi-asserted-by":"publisher","first-page":"496","DOI":"10.1016\/j.fss.2006.09.012","volume":"158","author":"H Bustince","year":"2007","unstructured":"Bustince, H., Barrenechea, E., Pagola, M.: Image thresholding using restricted equivalence functions and maximizing the measures of similarity. Fuzzy Sets Syst. 158, 496\u2013516 (2007)","journal-title":"Fuzzy. Sets. Syst."},{"key":"10_CR5","unstructured":"Bustince, H., Pagola, M., Barrenechea, E., Orduna, R.: Representation of uncertainty associated with the fuzzification of an image by means of interval type 2 fuzzy sets. Application to threshold computing. In Proceedings of Eurofuse Workshop: New Trends in Preference Modelling, Eurofuse, (Spain) 73\u201378 (2007)"},{"issue":"1","key":"10_CR6","doi-asserted-by":"publisher","first-page":"20","DOI":"10.1016\/j.fss.2009.03.005","volume":"161","author":"H Bustince","year":"2010","unstructured":"Bustince, H., Pagola, M., Barrenechea, E., Fernandez, J., Melo-Pinto, P., Couto, P., Tizhoosh, H.R., Montero, J.: Ignorance functions. An application to the calculation of the threshold in prostate ultrasound images. Fuzzy Sets Syst. 161(1), 20\u201336 (2010)","journal-title":"Fuzzy. Sets. Syst."},{"issue":"9","key":"10_CR7","doi-asserted-by":"publisher","first-page":"3188","DOI":"10.1016\/j.patcog.2010.04.005","volume":"43","author":"H Bustince","year":"2010","unstructured":"Bustince, H., Barrenechea, E., Pagola, M., Fernandez, J., Sanz, J.: Comment on: image thresholding using type II fuzzy sets. Importance of this  method. Pattern Recognit. 43(9), 3188\u20133192 (2010)","journal-title":"Importance of this method. Pattern Recognit."},{"issue":"1","key":"10_CR8","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/S0888-613X(00)88942-2","volume":"20","author":"O Cord\u00f3n","year":"1999","unstructured":"Cord\u00f3n, O., del Jesus, M.J., Herrera, F.: A proposal on reasoning methods in fuzzy rule-based classification systems. Int. J. Approximate. Reasoning. 20(1), 21\u201345 (1999)","journal-title":"Int. J. Approximate Reasoning"},{"key":"10_CR9","doi-asserted-by":"crossref","unstructured":"Chi, Z., Yan, H., Pham, T.: Fuzzy Algorithms with Applications to Image Processing and Pattern Recognition. World Scientific, singapore (1996)","DOI":"10.1142\/9789812830111"},{"issue":"2","key":"10_CR10","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1016\/S0165-0114(02)00127-6","volume":"133","author":"G Deschrijver","year":"2003","unstructured":"Deschrijver, G., Kerre, E.E.: On the relationship between some extensions of fuzzy set theory. Fuzzy Sets Syst. 133(2), 227\u2013235 (2003)","journal-title":"Fuzzy Sets Syst."},{"issue":"2","key":"10_CR11","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1109\/TSMCB.2004.842257","volume":"35","author":"H. Isibuchi","year":"2005","unstructured":"Isibuchi, H., Yamamoto, T., Nakashima, T.: Hybridization of fuzzy GBML approaches for pattern classification problems. IEEE Trans. Syst. Man Cybern. B 35(2), 359\u2013365 (2005)","journal-title":"IEEE Trans. Syst. Man Cybern. B"},{"key":"10_CR12","doi-asserted-by":"publisher","first-page":"1949","DOI":"10.1109\/TIP.2011.2107525","volume":"20","author":"M Galar","year":"2011","unstructured":"Galar, M., Fernandez, J., Beliakov, G., Bustince, H.: Interval-Valued fuzzy sets applied to stereo matching of color Images. IEEE Trans. Image Process. 20, 1949\u20131961 (2011)","journal-title":"IEEE Trans. Image Process."},{"key":"10_CR13","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1002\/malq.19760220120","volume":"22","author":"I. Grattan-Guinness","year":"1976","unstructured":"Grattan-Guinness I.:Fuzzy membership mapped onto interval and many-valued quantities. Z. Math. Logik Grundlag. Mathe. 22, 149\u2013160 (1976)","journal-title":"Z. Math. Logik Grundlag. Mathe."},{"issue":"4","key":"10_CR14","doi-asserted-by":"publisher","first-page":"4590","DOI":"10.1016\/j.eswa.2011.10.003","volume":"39","author":"D Hidalgo","year":"2012","unstructured":"Hidalgo, D., Melin, P., Castillo, O.: An optimization method for designing type-2 fuzzy inference systems based on the footprint of uncertainty using genetic algorithms. Expert Syst. Appl. 39(4), 4590\u20134598 (2012)","journal-title":"Expert Syst. Appl."},{"issue":"1","key":"10_CR15","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1016\/0031-3203(94)E0043-K","volume":"28","author":"LK Huang","year":"1995","unstructured":"Huang, L.K., Wang, M.J.: Image thresholding by minimimizing the measure of fuzziness. Pattern recognit. 28(1), 41\u201351 (1995)","journal-title":"Pattern Recognit."},{"key":"10_CR16","unstructured":"Klir, G.J., Yuan, B.: Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice-Hall, New York (1995)"},{"issue":"6","key":"10_CR17","doi-asserted-by":"publisher","first-page":"1503","DOI":"10.1109\/TFUZZ.2008.2005002","volume":"16","author":"F Liu","year":"2008","unstructured":"Liu, F., Mendel, J.M.: Encoding words into interval type-2 fuzzy sets using an interval approach. IEEE Trans. Fuzzy Syst. 16(6), 1503\u20131521 (2008)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"2","key":"10_CR18","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1109\/91.995115","volume":"10","author":"JM Mendel","year":"2002","unstructured":"Mendel, J.M., John, R.I.: Type-2 fuzzy sets made simple. IEEE Trans. Fuzzy Syst. 10(2), 117\u2013127 (2002)","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10_CR19","unstructured":"Mendel, J.M.: Uncertain Rule-Based Fuzzy Logic Systems. Prentice-Hall, Upper Saddle River (2001)"},{"key":"10_CR20","doi-asserted-by":"publisher","first-page":"312","DOI":"10.1016\/S0019-9958(76)80011-3","volume":"31","author":"M Mizumoto","year":"1976","unstructured":"Mizumoto, M., Tanaka, K.: Some properties of fuzzy sets of type 2. Inform. Control 31, 312\u2013340 (1976)","journal-title":"Inform. Control"},{"key":"10_CR21","unstructured":"Pagola, M.: Representation of uncertainty by interval-valued fuzzy sets. Application to image thresholding. Ph.D. dissertation, Departamento de Autom\u00e1tica y Computacin, Universidad P\u00fablica de Navarra, Pamplona ( 2008)"},{"issue":"3","key":"10_CR22","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1016\/0165-0114(78)90001-5","volume":"1","author":"SA Orlovsky","year":"1978","unstructured":"Orlovsky, S.A.: Decision-making with a fuzzy preference relation. Fuzzy Sets Syst. 1(3), 155\u2013167 (1978)","journal-title":"Fuzzy Sets and Syst."},{"issue":"3","key":"10_CR23","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1016\/0167-8655(83)90053-3","volume":"1","author":"SK Pal","year":"1983","unstructured":"Pal, S.K., King, R.A., Hashim, A.A.: Automatic grey level thresholding through index of fuzziness and entropy. Pattern Recognit. Lett. 1(3), 141\u2013146 (1983)","journal-title":"Pattern Recognit. Lett."},{"key":"10_CR24","unstructured":"Sambuc, R.: Function $$\\Phi $$- Flous. Application a l\u2019aide au Diagnostic en Pathologie Thyroidienne. These de Doctorat en Medicine, University of Marseille (1975)"},{"key":"10_CR25","doi-asserted-by":"publisher","first-page":"3674","DOI":"10.1016\/j.ins.2010.06.018","volume":"180","author":"J Sanz","year":"2010","unstructured":"Sanz, J., Fernandez, A., Bustince, H., Herrera, F.: Improving the performance of fuzzy rule-based classification systems with interval-valued fuzzy sets and genetic amplitude tuning. Inf. Sci. 180, 3674\u20133685 (2010)","journal-title":"Inf. Sci."},{"issue":"6","key":"10_CR26","doi-asserted-by":"publisher","first-page":"751","DOI":"10.1016\/j.ijar.2011.01.011","volume":"52","author":"J Sanz","year":"2011","unstructured":"Sanz, J., Fernandez, A., Bustince, H., Herrera, F.: A genetic tuning to improve the performance of fuzzy rule-based classification systems with interval-valued fuzzy sets: degree of ignorance and lateral position. Int. J. Approximate Reasoning 52(6), 751\u2013766 (2011)","journal-title":"Int. J. Approximate Reasoning"},{"key":"10_CR27","doi-asserted-by":"publisher","first-page":"943","DOI":"10.1007\/978-3-540-74607-2_86","volume":"4678","author":"S Tehami","year":"2007","unstructured":"Tehami, S., Bigand, A., Colot, O.: Color image segmentation based on type-2 fuzzy sets and region merging. Lect. Notes Comput. Sci. 4678, 943\u2013954 (2007)","journal-title":"Lect. Notes Comput. Sci."},{"key":"10_CR28","doi-asserted-by":"publisher","first-page":"2363","DOI":"10.1016\/j.patcog.2005.02.014","volume":"38","author":"HR Tizhoosh","year":"2005","unstructured":"Tizhoosh, H.R.: Image thresholding using type-2 fuzzy sets. Pattern Recognit. 38, 2363\u20132372 (2005)","journal-title":"Pattern Recognit."},{"key":"10_CR29","doi-asserted-by":"crossref","unstructured":"Yuksel, M.E., Borlu, M:  Accurate segmentation of dermoscopic images by image thresholding based on type-2 fuzzy logi. IEEE Trans. Fuzzy Syst. 976\u2013982 (2009)","DOI":"10.1109\/TFUZZ.2009.2018300"},{"key":"10_CR30","doi-asserted-by":"publisher","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338\u2013353 (1965)","journal-title":"Inf. Control"},{"key":"10_CR31","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1016\/0020-0255(75)90036-5","volume":"8","author":"LA Zadeh","year":"1975","unstructured":"Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning-I. Inf. Sci. 8, 199\u2013249 (1975)","journal-title":"Inf. Sci."}],"container-title":["Studies in Fuzziness and Soft Computing","Advances in Type-2 Fuzzy Sets and Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-1-4614-6666-6_10","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,13]],"date-time":"2023-02-13T22:27:07Z","timestamp":1676327227000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-1-4614-6666-6_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9781461466659","9781461466666"],"references-count":31,"URL":"https:\/\/doi.org\/10.1007\/978-1-4614-6666-6_10","relation":{},"ISSN":["1434-9922","1860-0808"],"issn-type":[{"value":"1434-9922","type":"print"},{"value":"1860-0808","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013]]},"assertion":[{"value":"25 June 2013","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}