{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T19:25:11Z","timestamp":1725909911991},"publisher-location":"Cham","reference-count":17,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319668239"},{"type":"electronic","value":"9783319668246"}],"license":[{"start":{"date-parts":[[2017,8,30]],"date-time":"2017-08-30T00:00:00Z","timestamp":1504051200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-66824-6_7","type":"book-chapter","created":{"date-parts":[[2017,8,29]],"date-time":"2017-08-29T05:34:30Z","timestamp":1503984870000},"page":"68-78","source":"Crossref","is-referenced-by-count":0,"title":["A Note on Defuzzification of Fuzzy Pre-orders and Transitivity of Its Minimal Regular Strict Component"],"prefix":"10.1007","author":[{"given":"Sim\u00e9on","family":"Fotso","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Louis Aim\u00e9","family":"Fono","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,8,30]]},"reference":[{"key":"7_CR1","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1016\/0165-0114(90)90159-4","volume":"34","author":"CR Barrett","year":"1990","unstructured":"Barrett, C.R., Pattanaik, P.K., Salles, M.: On choosing rationally when preferences are fuzzy. Fuzzy Sets Syst. 34, 197\u2013212 (1990)","journal-title":"Fuzzy Sets Syst."},{"key":"7_CR2","doi-asserted-by":"crossref","first-page":"811","DOI":"10.1016\/j.fss.2006.10.005","volume":"158","author":"U Bodenhofer","year":"2007","unstructured":"Bodenhofer, U., De Baets, B., Fodor, J.: A compendium of fuzzy weak orders: representations and constructions. Fuzzy Sets Syst. 158, 811\u2013829 (2007)","journal-title":"Fuzzy Sets Syst."},{"key":"7_CR3","doi-asserted-by":"crossref","first-page":"830","DOI":"10.1016\/j.fss.2006.11.014","volume":"158","author":"S Diaz","year":"2007","unstructured":"Diaz, S., De Baets, B., Montes, S.: Additive decomposition of fuzzy pre-orders. Fuzzy Sets Syst. 158, 830\u2013842 (2007)","journal-title":"Fuzzy Sets Syst."},{"key":"7_CR4","volume-title":"Fuzzy Sets and Systems: Theory and Applications","author":"D Dubois","year":"1980","unstructured":"Dubois, D., Prade, H.: Fuzzy Sets and Systems: Theory and Applications. Academic Press, New york (1980)"},{"issue":"3","key":"7_CR5","first-page":"267","volume":"VIII","author":"D Dubois","year":"1980","unstructured":"Dubois, D., Prade, H.: A theorem on implications defined from triangular norms. Stochastica VIII(3), 267\u2013279 (1980)","journal-title":"Stochastica"},{"key":"7_CR6","unstructured":"Duru, G., Auray, J.P., Mougeot, M.: Math\u00e9 matiques appliqu\u00e9es aux sciences sociales, Tome 1 : Relations et Applications, (Document de travail no 8202) (1982)"},{"key":"7_CR7","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1016\/0165-4896(87)90030-8","volume":"13","author":"B Dutta","year":"1987","unstructured":"Dutta, B.: Fuzzy preferences and social choice. Math. Soc. Sci. 13, 215\u2013229 (1987)","journal-title":"Math. Soc. Sci."},{"key":"7_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-017-1648-2","volume-title":"Fuzzy Preference Modelling and Multicriteria Decision Support","author":"J Fodor","year":"1994","unstructured":"Fodor, J., Roubens, M.: Fuzzy Preference Modelling and Multicriteria Decision Support. Kluwer Academic Publishers, Dordrecht (1994)"},{"key":"7_CR9","unstructured":"Fono, L.A., Relations binaires floues et application au choix social, Th\u00e9se de Doctorat\/Ph.D en math\u00e9matiques, Facult\u00e9 des sciences, Universit\u00e9 de Yaound\u00e9 1 (2004)"},{"key":"7_CR10","doi-asserted-by":"crossref","first-page":"372","DOI":"10.1016\/j.fss.2005.05.001","volume":"115","author":"LA Fono","year":"2005","unstructured":"Fono, L.A., Andjiga, N.G.: Fuzzy strict preference and social choice. Fuzzy Sets Syst. 115, 372\u2013389 (2005)","journal-title":"Fuzzy Sets Syst."},{"key":"7_CR11","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1142\/S1793005712400145","volume":"8","author":"S Fotso","year":"2012","unstructured":"Fotso, S., Fono, L.A.: On the consistency of some crisp choice functions based on a strongly complete fuzzy pre-order. New Math. Nat. Comput. 8, 257\u2013272 (2012)","journal-title":"New Math. Nat. Comput."},{"key":"7_CR12","doi-asserted-by":"crossref","DOI":"10.1201\/b18155","volume-title":"Application of Fuzzy Logic to Social Choice Theory, Monographs and Research Notes in Mathematics","author":"JN Mordeson","year":"2015","unstructured":"Mordeson, J.N., Malik, D.S., Clark, T.D.: Application of Fuzzy Logic to Social Choice Theory, Monographs and Research Notes in Mathematics. CRC Press, Boca Raton (2015)"},{"key":"7_CR13","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1016\/0165-0114(91)90258-R","volume":"43","author":"SV Ovchinnikov","year":"1991","unstructured":"Ovchinnikov, S.V., Roubens, M.: On strict preference relations. Fuzzy Sets Syst. 43, 319\u2013326 (1991)","journal-title":"Fuzzy Sets Syst."},{"key":"7_CR14","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1007\/s003550050111","volume":"15","author":"G Richardson","year":"1998","unstructured":"Richardson, G.: The structure of fuzzy preferences: social choice implications. Soc. Choice Welf. 15, 359\u2013369 (1998)","journal-title":"Soc. Choice Welf."},{"key":"7_CR15","unstructured":"Salles, M.: Fuzzy utility. Cahier de recherches No. 96-6, Universit\u00e9 de Caen (1996)"},{"key":"7_CR16","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1007\/s003550050143","volume":"16","author":"K Sengupta","year":"1999","unstructured":"Sengupta, K.: Choice rules with fuzzy preferences: some characterizations. Soc. Choice Welf. 16, 259\u2013272 (1999)","journal-title":"Soc. Choice Welf."},{"key":"7_CR17","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1023\/A:1018903628661","volume":"80","author":"B Walle Van de","year":"1998","unstructured":"Van de Walle, B., De Baets, B., Kerre, E.: Characterizable fuzzy prefernce structures. Ann. Oper. Res. 80, 105\u2013136 (1998)","journal-title":"Ann. Oper. Res."}],"container-title":["Advances in Intelligent Systems and Computing","Advances in Fuzzy Logic and Technology 2017"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-66824-6_7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,8,29]],"date-time":"2017-08-29T05:36:42Z","timestamp":1503985002000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-66824-6_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,8,30]]},"ISBN":["9783319668239","9783319668246"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-66824-6_7","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"type":"print","value":"2194-5357"},{"type":"electronic","value":"2194-5365"}],"subject":[],"published":{"date-parts":[[2017,8,30]]}}}