{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T17:14:20Z","timestamp":1743009260287,"version":"3.40.3"},"publisher-location":"Cham","reference-count":68,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319642857"},{"type":"electronic","value":"9783319642864"}],"license":[{"start":{"date-parts":[[2017,8,5]],"date-time":"2017-08-05T00:00:00Z","timestamp":1501891200000},"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\/978-3-319-64286-4_18","type":"book-chapter","created":{"date-parts":[[2017,8,4]],"date-time":"2017-08-04T03:19:48Z","timestamp":1501816788000},"page":"289-308","source":"Crossref","is-referenced-by-count":0,"title":["The Single Parameter Family of Gini Bonferroni Welfare Functions and the Binomial Decomposition, Transfer Sensitivity and Positional Transfer Sensitivity"],"prefix":"10.1007","author":[{"given":"Silvia","family":"Bortot","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mario","family":"Fedrizzi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ricardo Alberto","family":"Marques Pereira","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anastasia","family":"Stamatopoulou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,8,5]]},"reference":[{"issue":"4","key":"18_CR1","doi-asserted-by":"crossref","first-page":"639","DOI":"10.1007\/s003550000046","volume":"17","author":"R Aaberge","year":"2000","unstructured":"Aaberge, R.: Characterizations of Lorenz curves and income distributions. Soc. Choice Welf. 17(4), 639\u2013653 (2000)","journal-title":"Soc. Choice Welf."},{"issue":"1","key":"18_CR2","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1006\/jeth.2000.2749","volume":"101","author":"R Aaberge","year":"2001","unstructured":"Aaberge, R.: Axiomatic characterization of the Gini coefficient and Lorenz curve orderings. J. Econ. Theory 101(1), 115\u2013132 (2001)","journal-title":"J. Econ. Theory"},{"issue":"3","key":"18_CR3","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1007\/s10888-006-9050-8","volume":"5","author":"R Aaberge","year":"2007","unstructured":"Aaberge, R.: Ginis nuclear family. J. Econ. Inequality 5(3), 305\u2013322 (2007)","journal-title":"J. Econ. Inequality"},{"key":"18_CR4","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1016\/j.fss.2013.02.001","volume":"228","author":"O Aristondo","year":"2013","unstructured":"Aristondo, O., Garc\u00eda-Lapresta, J.L., de la Vega, C.L., Pereira, R.A.M.: Classical inequality indices, welfare and illfare functions, and the dual decomposition. Fuzzy Sets Syst. 228, 114\u2013136 (2013)","journal-title":"Fuzzy Sets Syst."},{"issue":"3","key":"18_CR5","doi-asserted-by":"crossref","first-page":"244","DOI":"10.1016\/0022-0531(70)90039-6","volume":"2","author":"AB Atkinson","year":"1970","unstructured":"Atkinson, A.B.: On the measurement of inequality. J. Econ. Theory 2(3), 244\u2013263 (1970)","journal-title":"J. Econ. Theory"},{"key":"18_CR6","doi-asserted-by":"crossref","unstructured":"B\u00e1rcena Mart\u00edn, E., Imedio, L.J.: The Bonferroni, Gini, and De Vergottini indices. Inequality, welfare, and deprivation in the European union in 2000. In: Bishop, J., Zheng, B. (eds.) Inequality and Opportunity: Papers from the Second ECINEQ Society Meeting, Research on Economic Inequality, vol. 16, pp. 231\u2013257. Emerald Group Publishing Limited (2008)","DOI":"10.1016\/S1049-2585(08)16011-2"},{"issue":"2","key":"18_CR7","first-page":"57","volume":"65","author":"E B\u00e1rcena Mart\u00edn","year":"2011","unstructured":"B\u00e1rcena Mart\u00edn, E., Silber, J.: On the concepts of Bonferroni segregation index and curve. Rivista Italiana di Economia Demografia e. Statistica 65(2), 57\u201376 (2011)","journal-title":"Statistica"},{"issue":"4","key":"18_CR8","doi-asserted-by":"crossref","first-page":"763","DOI":"10.1007\/s00355-012-0715-x","volume":"41","author":"E B\u00e1rcena Mart\u00edn","year":"2013","unstructured":"B\u00e1rcena Mart\u00edn, E., Silber, J.: On the generalization and decomposition of the Bonferroni index. Soc. Choice Welf. 41(4), 763\u2013787 (2013)","journal-title":"Soc. Choice Welf."},{"key":"18_CR9","doi-asserted-by":"crossref","unstructured":"Beliakov, G., Bustince Sola, H., Calvo, T.: A practical guide to averaging functions. Studies in Fuzziness and Soft Computing, vol. 329. Springer, Heidelberg (2016)","DOI":"10.1007\/978-3-319-24753-3"},{"key":"18_CR10","unstructured":"Beliakov, G., Pradera, A., Calvo, T.: Aggregation functions: a guide for practitioners. Studies in Fuzziness and Soft Computing, vol. 221. Springer, Heidelberg (2007)"},{"key":"18_CR11","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1006\/jeth.1994.1076","volume":"64","author":"EB Porath","year":"1994","unstructured":"Porath, E.B., Gilboa, I.: Linear measures, the Gini index, and the income-equality trade-off. J. Econ. Theory 64, 443\u2013467 (1994)","journal-title":"J. Econ. Theory"},{"issue":"1","key":"18_CR12","first-page":"421","volume":"44","author":"C Benedetti","year":"1986","unstructured":"Benedetti, C.: Sulla interpretazione benesseriale di noti indici di concentrazione e di altri. Metron 44(1), 421\u2013429 (1986)","journal-title":"Metron"},{"issue":"1","key":"18_CR13","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/0022-0531(78)90042-X","volume":"18","author":"C Blackorby","year":"1978","unstructured":"Blackorby, C., Donaldson, D.: Measures of relative equality and their meaning in terms of social welfare. J. Econ. Theory 18(1), 59\u201380 (1978)","journal-title":"J. Econ. Theory"},{"issue":"4","key":"18_CR14","doi-asserted-by":"crossref","first-page":"1053","DOI":"10.2307\/1912947","volume":"48","author":"C Blackorby","year":"1980","unstructured":"Blackorby, C., Donaldson, D.: Ethical indices for the measurement of poverty. Econometrica 48(4), 1053\u20131060 (1980)","journal-title":"Econometrica"},{"issue":"1","key":"18_CR15","doi-asserted-by":"crossref","first-page":"107","DOI":"10.2307\/2526243","volume":"21","author":"C Blackorby","year":"1980","unstructured":"Blackorby, C., Donaldson, D.: A theoretical treatment of indices of absolute inequality. Int. Econ. Rev. 21(1), 107\u2013136 (1980)","journal-title":"Int. Econ. Rev."},{"issue":"4","key":"18_CR16","doi-asserted-by":"crossref","first-page":"683","DOI":"10.2307\/135065","volume":"17","author":"C Blackorby","year":"1984","unstructured":"Blackorby, C., Donaldson, D.: Ethical social index numbers and the measurement of effective tax\/benefit progressivity. Can. J. Econ. 17(4), 683\u2013694 (1984)","journal-title":"Can. J. Econ."},{"issue":"4","key":"18_CR17","doi-asserted-by":"crossref","first-page":"665","DOI":"10.2307\/134822","volume":"14","author":"C Blackorby","year":"1981","unstructured":"Blackorby, C., Donaldson, D., Auersperg, M.: A new procedure for the measurement of inequality within and among population subgroups. Can. J. Econ. 14(4), 665\u2013685 (1981)","journal-title":"Can. J. Econ."},{"key":"18_CR18","volume-title":"Elementi di Statistica Generale","author":"CE Bonferroni","year":"1930","unstructured":"Bonferroni, C.E.: Elementi di Statistica Generale. Seeber, Firenze (1930)"},{"key":"18_CR19","unstructured":"Bonferroni, C.E.: Elementi di Statistica Generale. Ristampa con aggiunte, anno accademico 1932\u20131933. Litografia Felice Gili, Torino (1933)"},{"key":"18_CR20","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1016\/j.fss.2014.07.010","volume":"255","author":"S Bortot","year":"2014","unstructured":"Bortot, S., Pereira, R.A.M.: The binomial Gini inequality indices and the binomial decomposition of welfare functions. Fuzzy Sets Syst. 255, 92\u2013114 (2014)","journal-title":"Fuzzy Sets Syst."},{"issue":"1","key":"18_CR21","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1016\/0022-0531(90)90086-Y","volume":"50","author":"W Bossert","year":"1990","unstructured":"Bossert, W.: An axiomatization of the single-series Ginis. J. Econ. Theory 50(1), 82\u201392 (1990)","journal-title":"J. Econ. Theory"},{"issue":"6","key":"18_CR22","doi-asserted-by":"crossref","first-page":"533","DOI":"10.1142\/S0218488598000410","volume":"6","author":"T Calvo","year":"1998","unstructured":"Calvo, T., De Baets, B.: Aggregation operators defined by k-order additive\/maxitive fuzzy measures. Int. J. Uncertainty Fuzziness Knowl.-Based Syst. 6(6), 533\u2013550 (1998)","journal-title":"Int. J. Uncertainty Fuzziness Knowl.-Based Syst."},{"key":"18_CR23","series-title":"Studies in Fuzziness and Soft Computing","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/978-3-7908-1787-4_1","volume-title":"Aggregation Operators: New Trends and Applications","author":"T Calvo","year":"2002","unstructured":"Calvo, T., Koles\u00e1rov\u00e1, A., Komorn\u00edkov\u00e1, M., Mesiar, R.: Aggregation operators: properties, classes and construction methods. In: Calvo, T., Mayor, M., Mesiar, R. (eds.) Aggregation Operators: New Trends and Applications. Studies in Fuzziness and Soft Computing, vol. 97, pp. 3\u2013104. Springer, Heidelberg (2002)"},{"key":"18_CR24","unstructured":"Chakravarty, S.R.: The Bonferroni indices of inequality. In: International Conference in Memory of C. Gini and M. O. Lorenz (2005)"},{"issue":"3","key":"18_CR25","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1007\/s10888-006-9054-4","volume":"5","author":"SR Chakravarty","year":"2007","unstructured":"Chakravarty, S.R.: A deprivation-based axiomatic characterization of the absolute Bonferroni index of inequality. J. Econ. Inequality 5(3), 339\u2013351 (2007)","journal-title":"J. Econ. Inequality"},{"issue":"3","key":"18_CR26","first-page":"457","volume":"61","author":"SR Chakravarty","year":"2003","unstructured":"Chakravarty, S.R., Muliere, P.: Welfare indicators: a review and new perspectives. measurement of inequality. Metron 61(3), 457\u2013497 (2003)","journal-title":"Metron"},{"issue":"4","key":"18_CR27","first-page":"106","volume":"9","author":"O Chisini","year":"1929","unstructured":"Chisini, O.: Sul concetto di media. Periodico di matematiche 9(4), 106\u2013116 (1929)","journal-title":"Periodico di matematiche"},{"issue":"5\/6","key":"18_CR28","first-page":"317","volume":"2","author":"M Vergottini De","year":"1940","unstructured":"De Vergottini, M.: Sul significato di alcuni indici di concentrazione. Giornale degli Economisti e Annali di Economia 2(5\/6), 317\u2013347 (1940)","journal-title":"Giornale degli Economisti e Annali di Economia"},{"issue":"4","key":"18_CR29","first-page":"445","volume":"10","author":"M Vergottini De","year":"1950","unstructured":"De Vergottini, M.: Sugli indici di concentrazione. Statistica 10(4), 445\u2013454 (1950)","journal-title":"Statistica"},{"issue":"1","key":"18_CR30","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/0022-0531(80)90065-4","volume":"22","author":"D Donaldson","year":"1980","unstructured":"Donaldson, D., Weymark, J.A.: A single-parameter generalization of the Gini indices of inequality. J. Econ. Theory 22(1), 67\u201386 (1980)","journal-title":"J. Econ. Theory"},{"issue":"2","key":"18_CR31","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1016\/0022-0531(83)90053-4","volume":"29","author":"D Donaldson","year":"1983","unstructured":"Donaldson, D., Weymark, J.A.: Ethically flexible Gini indices for income distributions in the continuum. J. Econ. Theory 29(2), 353\u2013358 (1983)","journal-title":"J. Econ. Theory"},{"issue":"1","key":"18_CR32","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/0022-0531(87)90003-2","volume":"41","author":"U Ebert","year":"1987","unstructured":"Ebert, U.: Size and distribution of incomes as determinants of social welfare. J. Econ. Theory 41(1), 23\u201333 (1987)","journal-title":"J. Econ. Theory"},{"issue":"2","key":"18_CR33","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1007\/BF00735758","volume":"5","author":"U Ebert","year":"1988","unstructured":"Ebert, U.: Measurement of inequality: an attempt at unification and generalization. Soc. Choice Welf. 5(2), 147\u2013169 (1988)","journal-title":"Soc. Choice Welf."},{"issue":"2","key":"18_CR34","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1109\/91.388176","volume":"3","author":"J Fodor","year":"1995","unstructured":"Fodor, J., Marichal, J.L., Roubens, M.: Characterization of the ordered weighted averaging operators. IEEE Trans. Fuzzy Syst. 3(2), 236\u2013240 (1995)","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"18_CR35","doi-asserted-by":"crossref","unstructured":"Fodor, J., Roubens, M.: Fuzzy preference modelling and multicriteria decision support. Theory and Decision Library, series D, vol. 14. Kluwer Academic Publishers, Dordrecht (1994)","DOI":"10.1007\/978-94-017-1648-2"},{"issue":"1","key":"18_CR36","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1006\/jeth.2001.2851","volume":"106","author":"T Gajdos","year":"2002","unstructured":"Gajdos, T.: Measuring inequalities without linearity in envy: choquet integrals for symmetric capacities. J. Econ. Theory 106(1), 190\u2013200 (2002)","journal-title":"J. Econ. Theory"},{"key":"18_CR37","volume-title":"Variabilit\u00e0 e mutabilit\u00e0 Contributo alla studio delle Distribuzioni e delle Relazioni Statistiche","author":"C Gini","year":"1912","unstructured":"Gini, C.: Variabilit\u00e0 e mutabilit\u00e0 Contributo alla studio delle Distribuzioni e delle Relazioni Statistiche. P. Cuppini, Bologna (1912)"},{"key":"18_CR38","unstructured":"Gini, C.: Sulla misura della concentrazione e della variabilit\u00e0 dei caratteri. Atti del Reale Istituto Veneto di Scienze, Lettere ed Arti 78, 1203\u20131248 (1914) (English translation given in Metron 63, 1\u201338 (2005))"},{"issue":"121","key":"18_CR39","doi-asserted-by":"crossref","first-page":"124","DOI":"10.2307\/2223319","volume":"31","author":"C Gini","year":"1921","unstructured":"Gini, C.: Measurement of inequality of incomes. Econ. J. 31(121), 124\u2013126 (1921)","journal-title":"Econ. J."},{"issue":"1","key":"18_CR40","first-page":"146","volume":"13","author":"GM Giorgi","year":"1984","unstructured":"Giorgi, G.M.: A methodological survey of recent studies for the measurement of inequality of economic welfare carried out by some Italian statisticians. Econ. Notes 13(1), 146\u2013157 (1984)","journal-title":"Econ. Notes"},{"key":"18_CR41","first-page":"141","volume-title":"Encyclopedia of Statistical Sciences","author":"GM Giorgi","year":"1998","unstructured":"Giorgi, G.M.: Concentration index, Bonferroni. In: Kotz, S., Read, C.B., Banks, D.L. (eds.) Encyclopedia of Statistical Sciences, pp. 141\u2013146. Wiley, New York (1998)"},{"issue":"4","key":"18_CR42","first-page":"571","volume":"61","author":"GM Giorgi","year":"2001","unstructured":"Giorgi, G.M., Crescenzi, M.: A look at the Bonferroni inequality measure in a reliability framework. Statistica 61(4), 571\u2013584 (2001)","journal-title":"Statistica"},{"issue":"3\u20134","key":"18_CR43","first-page":"3","volume":"59","author":"GM Giorgi","year":"2001","unstructured":"Giorgi, G.M., Crescenzi, M.: A proposal of poverty measures based on the Bonferroni inequality index. Metron 59(3\u20134), 3\u201316 (2001)","journal-title":"Metron"},{"issue":"1","key":"18_CR44","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1007\/BF03263522","volume":"68","author":"GM Giorgi","year":"2010","unstructured":"Giorgi, G.M., Nadarajah, S.: Bonferroni and Gini indices for various parametric families of distributions. Metron 68(1), 23\u201346 (2010)","journal-title":"Metron"},{"issue":"2","key":"18_CR45","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/S0165-0114(97)00168-1","volume":"92","author":"M Grabisch","year":"1997","unstructured":"Grabisch, M.: k-order additive discrete fuzzy measures and their representation. Fuzzy Sets Syst. 92(2), 167\u2013189 (1997)","journal-title":"Fuzzy Sets Syst."},{"key":"18_CR46","doi-asserted-by":"crossref","unstructured":"Grabisch, M., Marichal, J.L., Mesiar, R., Pap, E.: Aggregation functions. Encyclopedia of Mathematics and its Applications, vol. 127. Cambridge University Press (2009)","DOI":"10.1017\/CBO9781139644150"},{"key":"18_CR47","doi-asserted-by":"crossref","unstructured":"Kolm, S.C.: The optimal production of social justice. In: Margolis, J., Guitton, H. (eds.) Public Economics. International Economic Association Series, pp. 145\u2013200. Macmillan, London (1969)","DOI":"10.1007\/978-1-349-15294-0_7"},{"issue":"3","key":"18_CR48","doi-asserted-by":"crossref","first-page":"416","DOI":"10.1016\/0022-0531(76)90037-5","volume":"12","author":"SC Kolm","year":"1976","unstructured":"Kolm, S.C.: Unequal inequalities I. J. Econ. Theory 12(3), 416\u2013442 (1976)","journal-title":"J. Econ. Theory"},{"issue":"1","key":"18_CR49","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1016\/0022-0531(76)90068-5","volume":"13","author":"SC Kolm","year":"1976","unstructured":"Kolm, S.C.: Unequal inequalities II. J. Econ. Theory 13(1), 82\u2013111 (1976)","journal-title":"J. Econ. Theory"},{"key":"18_CR50","volume-title":"A Generalized Gini-Coefficient","author":"G Lorenzen","year":"1979","unstructured":"Lorenzen, G.: A Generalized Gini-Coefficient. Universit\u00e4t Hamburg, Institut f\u00fcr Statistik und \u00d6kometrie (1979)"},{"key":"18_CR51","unstructured":"Marshall, A.W., Olkin, I.: Inequalities: Theory of Majorization and Its Applications. Mathematics in Science and Engineering, vol. 143. Academic Press, New York (1979)"},{"issue":"4","key":"18_CR52","doi-asserted-by":"crossref","first-page":"805","DOI":"10.2307\/1913446","volume":"44","author":"F Mehran","year":"1976","unstructured":"Mehran, F.: Linear measures of income inequality. Econometrica 44(4), 805\u2013809 (1976)","journal-title":"Econometrica"},{"key":"18_CR53","volume-title":"Measuring Income Inequality","author":"F Nyg\u00e5rd","year":"1981","unstructured":"Nyg\u00e5rd, F., Sandstr\u00f6m, A.: Measuring Income Inequality. Almqvist & Wiksell International, Stockholm (1981)"},{"volume-title":"Generalized Expected Utility Analysis: The Rank-Dependent Model","year":"1993","key":"18_CR54","unstructured":"Quiggin, J. (ed.): Generalized Expected Utility Analysis: The Rank-Dependent Model. Kluwer Academic Publishers, Dordrecht (1993)"},{"key":"18_CR55","doi-asserted-by":"crossref","DOI":"10.1093\/0198281935.001.0001","volume-title":"On Economic Inequality","author":"A Sen","year":"1973","unstructured":"Sen, A.: On Economic Inequality. Claredon Press, Oxford (1973)"},{"key":"18_CR56","volume-title":"Personal Income Distribution","author":"A Sen","year":"1978","unstructured":"Sen, A.: Ethical measurement of inequality: some difficulties. In: Krelle, W., Shorrocks, A.F. (eds.) Personal Income Distribution. North-Holland, Amsterdam (1978)"},{"issue":"3","key":"18_CR57","doi-asserted-by":"crossref","first-page":"485","DOI":"10.2307\/2297571","volume":"54","author":"AF Shorrocks","year":"1987","unstructured":"Shorrocks, A.F., Foster, J.E.: Transfer sensitive inequality measures. Rev. Econ. Stud. 54(3), 485\u2013497 (1987)","journal-title":"Rev. Econ. Stud."},{"issue":"1","key":"18_CR58","doi-asserted-by":"crossref","first-page":"107","DOI":"10.2307\/1928057","volume":"71","author":"J Silber","year":"1989","unstructured":"Silber, J.: Factor components, population subgroups and the computation of the Gini index of inequality. Rev. Econ. Stat. 71(1), 107\u2013115 (1989)","journal-title":"Rev. Econ. Stat."},{"key":"18_CR59","doi-asserted-by":"crossref","unstructured":"Tarsitano, A.: The Bonferroni index of income inequality. In: Dargum, C., Zenga, M. (eds.) Income and Wealth Distribution. Inequality and Poverty, pp. 228\u2013242. Springer, Heidelberg (1990)","DOI":"10.1007\/978-3-642-84250-4_15"},{"issue":"4","key":"18_CR60","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1016\/0165-4896(81)90018-4","volume":"1","author":"JA Weymark","year":"1981","unstructured":"Weymark, J.A.: Generalized Gini inequality indices. Math. Soc. Sci. 1(4), 409\u2013430 (1981)","journal-title":"Math. Soc. Sci."},{"issue":"1","key":"18_CR61","doi-asserted-by":"crossref","first-page":"95","DOI":"10.2307\/1911158","volume":"55","author":"ME Yaari","year":"1987","unstructured":"Yaari, M.E.: The dual theory of choice under risk. Econometrica 55(1), 95\u2013115 (1987)","journal-title":"Econometrica"},{"issue":"2","key":"18_CR62","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1016\/0022-0531(88)90010-5","volume":"44","author":"ME Yaari","year":"1988","unstructured":"Yaari, M.E.: A controversial proposal concerning inequality measurement. J. Econ. Theory 44(2), 381\u2013397 (1988)","journal-title":"J. Econ. Theory"},{"issue":"1","key":"18_CR63","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1109\/21.87068","volume":"18","author":"RR Yager","year":"1988","unstructured":"Yager, R.R.: On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans. Syst. Man Cybern. 18(1), 183\u2013190 (1988)","journal-title":"IEEE Trans. Syst. Man Cybern."},{"key":"18_CR64","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-6123-1","volume-title":"The Ordered Weighted Averaging Operators: Theory and Applications","author":"RR Yager","year":"1997","unstructured":"Yager, R.R., Kacprzyk, J.: The Ordered Weighted Averaging Operators: Theory and Applications. Kluwer Academic Publisher, Dordrecht (1997)"},{"key":"18_CR65","doi-asserted-by":"crossref","unstructured":"Yager, R.R., Kacprzyk, J., Beliakov, G.: Recent developments in the ordered weighted averaging operators: theory and practice. Studies in Fuzziness and Soft Computing, vol. 265. Springer, Heidelberg (2011)","DOI":"10.1007\/978-3-642-17910-5"},{"issue":"3","key":"18_CR66","doi-asserted-by":"crossref","first-page":"617","DOI":"10.2307\/2648789","volume":"24","author":"S Yitzhaki","year":"1983","unstructured":"Yitzhaki, S.: On an extension of the Gini inequality index. Int. Econ. Rev. 24(3), 617\u2013628 (1983)","journal-title":"Int. Econ. Rev."},{"issue":"2","key":"18_CR67","first-page":"133","volume":"11","author":"MM Zenga","year":"2013","unstructured":"Zenga, M.M.: Decomposition by sources of the Gini, Bonferroni and Zenga inequality indexes. Stat. Appl. 11(2), 133\u2013161 (2013)","journal-title":"Stat. Appl."},{"issue":"2","key":"18_CR68","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1007\/s003550050139","volume":"16","author":"C Zoli","year":"1999","unstructured":"Zoli, C.: Intersecting generalized Lorenz curves and the Gini index. Soc. Choice Welf. 16(2), 183\u2013196 (1999)","journal-title":"Soc. Choice Welf."}],"container-title":["Studies in Fuzziness and Soft Computing","Soft Computing Based Optimization and Decision Models"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-64286-4_18","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,1]],"date-time":"2019-10-01T21:08:13Z","timestamp":1569964093000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-64286-4_18"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,8,5]]},"ISBN":["9783319642857","9783319642864"],"references-count":68,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-64286-4_18","relation":{},"ISSN":["1434-9922","1860-0808"],"issn-type":[{"type":"print","value":"1434-9922"},{"type":"electronic","value":"1860-0808"}],"subject":[],"published":{"date-parts":[[2017,8,5]]}}}