{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,11,14]],"date-time":"2024-11-14T05:20:36Z","timestamp":1731561636649,"version":"3.28.0"},"reference-count":61,"publisher":"Institution of Engineering and Technology (IET)","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IET Gener. Transm. Distrib."],"published-print":{"date-parts":[[2008,9,11]]},"DOI":"10.1049\/iet-gtd:20070408","type":"journal-article","created":{"date-parts":[[2008,7,10]],"date-time":"2008-07-10T15:24:59Z","timestamp":1215703499000},"page":"632-645","source":"Crossref","is-referenced-by-count":3,"title":["Variational inequalities for solving possibilistic risk-averse electricity market equilibrium"],"prefix":"10.1049","volume":"2","author":[{"given":"F.A.","family":"Campos","sequence":"first","affiliation":[{"name":"Instituto de Investigacio\u0301n Tecnolo\u0301gica, Universidad Pontificia Comillas de Madrid, c\/Alberto Aguilera 23, Madrid, 28015, Spain"}]},{"given":"J.","family":"Villar","sequence":"additional","affiliation":[{"name":"Instituto de Investigacio\u0301n Tecnolo\u0301gica, Universidad Pontificia Comillas de Madrid, c\/Alberto Aguilera 23, Madrid, 28015, Spain"}]},{"given":"J.","family":"Barqui\u0301n","sequence":"additional","affiliation":[{"name":"Instituto de Investigacio\u0301n Tecnolo\u0301gica, Universidad Pontificia Comillas de Madrid, c\/Alberto Aguilera 23, Madrid, 28015, Spain"}]},{"given":"J.","family":"Reneses","sequence":"additional","affiliation":[{"name":"Instituto de Investigacio\u0301n Tecnolo\u0301gica, Universidad Pontificia Comillas de Madrid, c\/Alberto Aguilera 23, Madrid, 28015, Spain"}]}],"member":"265","reference":[{"key":"10.1049\/iet-gtd:20070408_r1","first-page":"48","volume":"36","author":"Nash","year":"1950"},{"key":"10.1049\/iet-gtd:20070408_r2","doi-asserted-by":"crossref","first-page":"897","DOI":"10.1016\/j.enpol.2003.10.013","volume":"33","author":"Ventosa","year":"2005","ISSN":"http:\/\/id.crossref.org\/issn\/0301-4215","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r3","doi-asserted-by":"crossref","first-page":"785","DOI":"10.1016\/0360-5442(90)90118-L","volume":"15","author":"Hobbs","year":"1990","ISSN":"http:\/\/id.crossref.org\/issn\/0360-5442","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r4","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1109\/39.916353","volume":"21","author":"Wen","year":"2001","ISSN":"http:\/\/id.crossref.org\/issn\/0272-1724","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r5","unstructured":"Murto, P.: \u2018On investment, uncertainty and strategic interaction with applications in energy markets\u2019, (Helsinki University of Technology, Helsinki 2003)"},{"key":"10.1049\/iet-gtd:20070408_r6","unstructured":"Murto, P.: \u2018Models of capacity investment in deregulated electricity markets\u2019, (Helsinky University of Technology, Department of Engineering, Physics and Mathematics 2000)"},{"key":"10.1049\/iet-gtd:20070408_r7","doi-asserted-by":"crossref","first-page":"885","DOI":"10.1109\/59.962441","volume":"16","author":"Chuang","year":"2001","ISSN":"http:\/\/id.crossref.org\/issn\/0885-8950","issn-type":"print"},{"journal-title":"Center for Operations Research and Econometrics (CORE)","year":"2002","author":"Murphy","key":"10.1049\/iet-gtd:20070408_r8"},{"journal-title":"IEEE PowerTech","year":"2003","author":"Centeno","key":"10.1049\/iet-gtd:20070408_r9"},{"key":"10.1049\/iet-gtd:20070408_r10","doi-asserted-by":"crossref","first-page":"102","DOI":"10.1287\/opre.47.1.102","volume":"47","author":"Wei","year":"1999","ISSN":"http:\/\/id.crossref.org\/issn\/0030-364X","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r11","first-page":"2272","volume":"4","author":"Ventosa","year":"2000","journal-title":"Proc. IEEE PES Summer Meeting"},{"key":"10.1049\/iet-gtd:20070408_r12","doi-asserted-by":"crossref","first-page":"194","DOI":"10.1109\/59.918286","volume":"16","author":"Hobbs","year":"2001","ISSN":"http:\/\/id.crossref.org\/issn\/0885-8950","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r13","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1007\/BF01582255","volume":"48","author":"Harker","year":"1990","ISSN":"http:\/\/id.crossref.org\/issn\/0025-5610","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r14","doi-asserted-by":"crossref","unstructured":"Daxhelet, O., and Smeers, Y.: \u2018Variational inequality models of restructured electricity systems\u2019, Ferris, M.C., Mangasarian, O.L., Pang, J.S., (Kluwer Academic Publishers 2001),Complementary: applications, algorithms and extensions","DOI":"10.1007\/978-1-4757-3279-5_5"},{"key":"10.1049\/iet-gtd:20070408_r15","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1109\/TPWRS.2006.887890","volume":"22","author":"Centeno","year":"2007","ISSN":"http:\/\/id.crossref.org\/issn\/0885-8950","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r16","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1109\/TPWRS.2002.800900","volume":"17","author":"Day","year":"2002","ISSN":"http:\/\/id.crossref.org\/issn\/0885-8950","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r17","unstructured":"Elishakoff, I.: \u2018What may go wrong with probabilistic methods?\u2019, Elishakoff, I., (Springer, New York, Wien 1999),Whys and hows in uncertainty modelling: probability, fuzziness and anti-optimization, p. 265\u2013283 vol. 388 of CSIM Courses and Lectures"},{"key":"10.1049\/iet-gtd:20070408_r18","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0165-0114(78)90029-5","volume":"1","author":"Zadeh","year":"1978","ISSN":"http:\/\/id.crossref.org\/issn\/0165-0114","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r19","doi-asserted-by":"crossref","unstructured":"Smets, P.: \u2018Imperfect information: imprecision - uncertainty\u2019, Motro, A., Smets, P., (Kluwer Academic 1997),Uncertainty management in information systems: from needs to solutions, p. 225\u2013254","DOI":"10.1007\/978-1-4615-6245-0_8"},{"key":"10.1049\/iet-gtd:20070408_r20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0165-0114(98)00197-3","volume":"102","author":"Song","year":"1999","ISSN":"http:\/\/id.crossref.org\/issn\/0165-0114","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r21","first-page":"345","volume":"25","author":"Dubois","year":"1986"},{"key":"10.1049\/iet-gtd:20070408_r22","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/S0165-0114(98)00449-7","volume":"111","author":"Inuiguchi","year":"2000","ISSN":"http:\/\/id.crossref.org\/issn\/0165-0114","issn-type":"print"},{"journal-title":"2\u00b0 IEEE Int. Conf. Fuzzy Systems","year":"1993","author":"Dubois","key":"10.1049\/iet-gtd:20070408_r23"},{"key":"10.1049\/iet-gtd:20070408_r24","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0165-0114(86)90024-2","volume":"18","author":"Civanlar","year":"1986","ISSN":"http:\/\/id.crossref.org\/issn\/0165-0114","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r25","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1080\/03081079208945024","volume":"20","author":"Geer","year":"1991","ISSN":"http:\/\/id.crossref.org\/issn\/0308-1079","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r26","doi-asserted-by":"crossref","unstructured":"Dubois, D., Prade, H., and Sandri, S.: \u2018On possibility\/probability transformations\u2019, Lower, R., Roubens, M., (Kluwer Academic Publishers 1993),Fuzzy Logic, p. 103\u2013112","DOI":"10.1007\/978-94-011-2014-2_10"},{"key":"10.1049\/iet-gtd:20070408_r27","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1016\/0165-0114(94)90336-0","volume":"64","author":"Wonneberger","year":"1994","ISSN":"http:\/\/id.crossref.org\/issn\/0165-0114","issn-type":"print"},{"journal-title":"Seventh IFSA World Congress","year":"1997","author":"Lasserre","key":"10.1049\/iet-gtd:20070408_r28"},{"key":"10.1049\/iet-gtd:20070408_r29","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1080\/00401706.1995.10484330","volume":"37","author":"Zadeh","year":"1995","ISSN":"http:\/\/id.crossref.org\/issn\/0040-1706","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r30","unstructured":"Shaffer, G.: \u2018A mathematical theory of evidence\u2019, (Princeton University Press, Princeton 1976)"},{"journal-title":"Int. Conf. Power System Technology","year":"2002","author":"Yang","key":"10.1049\/iet-gtd:20070408_r31"},{"key":"10.1049\/iet-gtd:20070408_r32","first-page":"519","volume":"19","author":"Campos","year":"2005"},{"key":"10.1049\/iet-gtd:20070408_r33","first-page":"93","volume":"3","author":"Campos","year":"2006","ISSN":"http:\/\/id.crossref.org\/issn\/1109-9526","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r34","unstructured":"Centeno, E., Barqui\u0301n, J., and De la Fuente, J.I.: \u2018Competitors' response representation for market simulation in the spanish daily market\u2019, Bunn, D.W., (John Wiley & Sons, Chichester 2003)"},{"year":"2006","author":"Lo\u0301pez de Haro","key":"10.1049\/iet-gtd:20070408_r35"},{"key":"10.1049\/iet-gtd:20070408_r36","unstructured":"Dubois, D., and Prade, H.: \u2018Fuzzy sets and systems: theory and applications\u2019, (Academic Press, New York 1980)"},{"key":"10.1049\/iet-gtd:20070408_r37","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1109\/TPWRS.2005.857851","volume":"21","author":"Reneses","year":"2006","ISSN":"http:\/\/id.crossref.org\/issn\/0885-8950","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r38","first-page":"1243","volume":"57","author":"Klemperer","year":"1989"},{"key":"10.1049\/iet-gtd:20070408_r39","first-page":"119","volume":"151","author":"Barqui\u0301n","year":"2004"},{"key":"10.1049\/iet-gtd:20070408_r40","doi-asserted-by":"crossref","unstructured":"Hashimoto, H.: \u2018A spatial nash equilibrium model\u2019, Spatial price equilibrium: advances in theory, computation and application, (Springer-Verlag, Berlin 1985), p. 20\u201340","DOI":"10.1007\/978-3-642-46548-2_2"},{"key":"10.1049\/iet-gtd:20070408_r41","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/S0378-7796(03)00042-7","volume":"67","author":"Song","year":"2003","ISSN":"http:\/\/id.crossref.org\/issn\/0378-7796","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r42","unstructured":"Bai\u0301llo, A.: \u2018A methodology to develop optimal schedules and offer strategies for a generation company operating in a short-term electricity market\u2019, (Pontificia Comillas de Madrid, Organizacio\u0301n Industrial 2002)"},{"key":"10.1049\/iet-gtd:20070408_r43","unstructured":"Chang, P.T., and Lee, E.S.: \u2018Fuzzy arithmeics and comparison of fuzzy numbers\u2019, Delgado, M., Kacprzyk, J., Verdegay, J.L., Amparo, M.A., (Physica-Verlag, New York 1994),Fuzzy Optimization,"},{"journal-title":"Emergent Solutions for the Information and Knowledge Economy","year":"2003","author":"Lazzari","key":"10.1049\/iet-gtd:20070408_r44"},{"key":"10.1049\/iet-gtd:20070408_r45","first-page":"459","volume":"40","author":"Campos","year":"2008"},{"key":"10.1049\/iet-gtd:20070408_r46","doi-asserted-by":"crossref","first-page":"627","DOI":"10.1080\/03052150600603165","volume":"38","author":"Campos","year":"2006","ISSN":"http:\/\/id.crossref.org\/issn\/0305-215X","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r47","doi-asserted-by":"crossref","unstructured":"Creighton, J.: \u2018A first course in probability models and statistical inference\u2019, (Springer-Verlag 1994)","DOI":"10.1007\/978-1-4419-8540-8"},{"key":"10.1049\/iet-gtd:20070408_r48","first-page":"533","volume":"19","author":"Barqui\u0301n","year":"2005"},{"key":"10.1049\/iet-gtd:20070408_r49","unstructured":"Conejo, A.J., Castillo, E., Mi\u0301nguez, R., and Garci\u0301a-Bertrand, R.: \u2018Decomposition techniques in mathematica programming\u2019, (Springer 2006)"},{"key":"10.1049\/iet-gtd:20070408_r50","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/0377-2217(89)90326-3","volume":"40","author":"Dubois","year":"1989","ISSN":"http:\/\/id.crossref.org\/issn\/0377-2217","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r51","doi-asserted-by":"crossref","first-page":"646","DOI":"10.1287\/opre.1050.0211","volume":"53","author":"Murphy","year":"2005","ISSN":"http:\/\/id.crossref.org\/issn\/0030-364X","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r52","unstructured":"Bertsekas, D.P.: \u2018Constrained optimization and lagrange multiplier methods\u2019, (Academic Press, London 1982)"},{"key":"10.1049\/iet-gtd:20070408_r53","unstructured":"Brooke, A., Kendrick, D., Meeraus, A., and Raman, R.: \u2018GAMS: a user's guide\u2019, (GAMS development Corporation, Washington, DC 1998)"},{"key":"10.1049\/iet-gtd:20070408_r54","doi-asserted-by":"crossref","unstructured":"Facchinei, F., and Pang, J.S.: \u2018Finite-dimensional variational inequalities and complementarity problems\u2019, (Springer, New York 2003)","DOI":"10.1007\/b97544"},{"key":"10.1049\/iet-gtd:20070408_r55","doi-asserted-by":"crossref","unstructured":"Solodov, M.V.: \u2018A Class of globally convergent algorithms for pseudomonotone variational inequalities\u2019, Mangasarian, O.L., Pang, J.-S., Ferris, M.C., (Kluwer Academic Publishers 2001),Complementarity: applications, algorithms and extensions,","DOI":"10.1007\/978-1-4757-3279-5_14"},{"key":"10.1049\/iet-gtd:20070408_r56","unstructured":"Bertsekas, D.P.: \u2018Nonlinear programming\u2019, (Athena Scientific, Belmont 1995)"},{"key":"10.1049\/iet-gtd:20070408_r57","first-page":"199","volume":"8","author":"Zadeh","year":"1975"},{"key":"10.1049\/iet-gtd:20070408_r58","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/0165-0114(86)90002-3","volume":"18","author":"Yager","year":"1986","ISSN":"http:\/\/id.crossref.org\/issn\/0165-0114","issn-type":"print"},{"key":"10.1049\/iet-gtd:20070408_r59","unstructured":"\u2018Cplex: Using The Cplex Callable Library\u2019, (ILOG Inc, Incline Village, NV 1997)"},{"key":"10.1049\/iet-gtd:20070408_r60","unstructured":"Reneses, J.: \u2018Ana\u0301lisis de la operacio\u0301n de los mercados de generacio\u0301n de energi\u0301a ele\u0301ctrica a medio plazo\u2019 \u2018Organizacio\u0301n Industrial\u2019, (Universidad Pontificia Comillas, Madrid 2004)"},{"key":"10.1049\/iet-gtd:20070408_r61","unstructured":"Campos, F.A.: \u2018Modelo posibilista del mercado de energi\u0301a ele\u0301ctrica a medio plazo en un entorno liberalizado\u2019, (Universidad Pontificia Comillas, Madrid 2005),Instituto de Investigacio\u0301n Tecnolo\u0301gica,"}],"container-title":["IET Generation, Transmission &amp; Distribution"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/digital-library.theiet.org\/content\/journals\/10.1049\/iet-gtd_20070408?crawler=true&mimetype=application\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,13]],"date-time":"2024-11-13T11:26:34Z","timestamp":1731497194000},"score":1,"resource":{"primary":{"URL":"http:\/\/digital-library.theiet.org\/doi\/10.1049\/iet-gtd%3A20070408"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,9,11]]},"references-count":61,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2008,9,11]]}},"alternative-id":["10.1049\/iet-gtd:20070408"],"URL":"https:\/\/doi.org\/10.1049\/iet-gtd:20070408","relation":{},"ISSN":["1751-8687","1751-8695"],"issn-type":[{"type":"print","value":"1751-8687"},{"type":"electronic","value":"1751-8695"}],"subject":[],"published":{"date-parts":[[2008,9,11]]}}}