{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T08:38:45Z","timestamp":1725871125298},"publisher-location":"Cham","reference-count":35,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319403120"},{"type":"electronic","value":"9783319403144"}],"license":[{"start":{"date-parts":[[2016,11,15]],"date-time":"2016-11-15T00:00:00Z","timestamp":1479168000000},"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":[[2017]]},"DOI":"10.1007\/978-3-319-40314-4_5","type":"book-chapter","created":{"date-parts":[[2016,11,14]],"date-time":"2016-11-14T06:09:52Z","timestamp":1479103792000},"page":"81-97","source":"Crossref","is-referenced-by-count":1,"title":["Information Theory Applications in Soft Computing"],"prefix":"10.1007","author":[{"given":"Paul","family":"Elmore","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Frederick","family":"Petry","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,11,15]]},"reference":[{"issue":"379\u2013423","key":"5_CR1","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1002\/j.1538-7305.1948.tb00917.x","volume":"27","author":"C Shannon","year":"1948","unstructured":"Shannon, C.: A mathematical theory of communication. Bell Syst. Tech. J. 27(379\u2013423), 623\u2013656 (1948)","journal-title":"Bell Syst. Tech. J."},{"key":"5_CR2","doi-asserted-by":"crossref","unstructured":"Buckles, B., Petry, F.: Information-theoretical characterization of fuzzy relational databases. IEEE Trans. Syst. Man Cybern. 13, 74\u201377 (1983)","DOI":"10.1109\/TSMC.1983.6313032"},{"key":"5_CR3","first-page":"354","volume":"18","author":"KT Fung","year":"1980","unstructured":"Fung, K.T., Lam, C.M.: The database entropy concept and its application to the data allocation problem. INFOR 18, 354\u2013363 (1980)","journal-title":"INFOR"},{"key":"5_CR4","first-page":"81","volume":"1","author":"J Quinlan","year":"1986","unstructured":"Quinlan, J.: Induction of decision trees. Mach. Learn. 1, 81\u2013106 (1986)","journal-title":"Mach. Learn."},{"key":"5_CR5","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/S0020-0255(98)00019-X","volume":"109","author":"T Beaubouef","year":"1998","unstructured":"Beaubouef, T., Petry, F., Arora, G.: Information-theoretic measures of uncertainty for rough sets and rough relational databases. Inf. Sci. 109, 185\u2013195 (1998)","journal-title":"Inf. Sci."},{"issue":"2","key":"5_CR6","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1002\/asi.4630360202","volume":"36","author":"M Yovits","year":"1985","unstructured":"Yovits, M., Foulk, C.: Experiments and analysis of information use and value in a decision-making context. J. Am. Inf. Sci. 36(2), 63\u201381 (1985)","journal-title":"J. Am. Inf. Sci."},{"key":"5_CR7","volume-title":"Uncertainty and Information","author":"G Klir","year":"2006","unstructured":"Klir, G.: Uncertainty and Information. John Wiley, Hoboken NJ (2006)"},{"key":"5_CR8","volume-title":"An Introduction to Information Theory","author":"F Reza","year":"1961","unstructured":"Reza, F.: An Introduction to Information Theory. McGraw Hill, New York (1961)"},{"key":"5_CR9","unstructured":"Gini, C.: Variabilita e mutabilita (Variability and mutability), Tipografia di Paolo Cuppini, Bologna, Italy, p. 156 (1912)"},{"key":"5_CR10","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1002\/int.21517","volume":"27","author":"O Aristondo","year":"2012","unstructured":"Aristondo, O., Garcia-Lparesta, J., de la Vega, C., Pereira, R.: The Gini index, the dual decomposition of aggregation functions and the consistent measurement of inequality. Int. J. Intell. Syst. 27, 132\u2013152 (2012)","journal-title":"Int. J. Intell. Syst."},{"key":"5_CR11","volume-title":"Classification and Regression Trees","author":"L Breiman","year":"1984","unstructured":"Breiman, L., Friedman, J., Olshen, R., Stone, C.: Classification and Regression Trees. Wadsworth & Brooks\/Cole, Monterey, CA (1984)"},{"key":"5_CR12","doi-asserted-by":"crossref","unstructured":"Sent, D., van de Gaag, L.: On the behavior of information measures for test selection. In: Carbonell, J., Siebnarm, J. (eds.) Lecture Notes in AI 4594, pp. 325\u2013343. Springer, Berlin (2007)","DOI":"10.1007\/978-3-540-73599-1_42"},{"key":"5_CR13","doi-asserted-by":"crossref","first-page":"3023","DOI":"10.1016\/j.physa.2010.03.045","volume":"389","author":"I Eliazar","year":"2010","unstructured":"Eliazar, I., Sokolov, I.: Maximization of statistical heterogeneity: from Shannon\u2019s entropy to Gini\u2019s index. Phys. A 389, 3023\u20133038 (2010)","journal-title":"Phys. A"},{"key":"5_CR14","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1016\/0020-0255(94)00030-F","volume":"82","author":"R Yager","year":"1995","unstructured":"Yager, R.: Measures of entropy and fuzziness related to aggregation operators. Inf. Sci. 82, 147\u2013166 (1995)","journal-title":"Inf. Sci."},{"key":"5_CR15","unstructured":"Renyi, A.: On measures of information and entropy. In: Proceedings of the 4th Berkeley Symposium on Mathematics, Statistics and Probability 1960, pp.\u00a0547\u2013561 (1961)"},{"key":"5_CR16","volume-title":"Probability Theory","author":"A Renyi","year":"1970","unstructured":"Renyi, A.: Probability Theory. North-Holland, Amsterdam, ND (1970)"},{"issue":"3","key":"5_CR17","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1002\/j.1538-7305.1928.tb01236.x","volume":"7","author":"R Hartley","year":"1928","unstructured":"Hartley, R.: Transmission of information. Bell Syst. Tech. J. 7(3), 535\u2013563 (1928)","journal-title":"Bell Syst. Tech. J."},{"key":"5_CR18","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1109\/69.219737","volume":"5","author":"A Ola","year":"1993","unstructured":"Ola, A., Ozsoyoglu, G.: Incomplete relational database models based on intervals. IEEE Trans. Knowl. Data Eng. 5, 293\u2013308 (1993)","journal-title":"IEEE Trans. Knowl. Data Eng."},{"key":"5_CR19","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/0306-4379(87)90021-4","volume":"12","author":"M Roth","year":"1987","unstructured":"Roth, M., Korth, H., Batory, D.: SQL\/NF: A query language for non-1NF databases. Inf. Syst. 12, 99\u2013114 (1987)","journal-title":"Inf. Syst."},{"key":"5_CR20","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4613-1319-9","volume-title":"Fuzzy Databases: Principles and Applications","author":"F Petry","year":"1996","unstructured":"Petry, F.: Fuzzy Databases: Principles and Applications. Kluwer Press, Norwell MA (1996)"},{"key":"5_CR21","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1016\/0165-0114(82)90052-5","volume":"7","author":"B Buckles","year":"1982","unstructured":"Buckles, B., Petry, F.: A fuzzy representation for a relational data base. Int. J. Fuzzy Sets Syst. 7, 213\u2013226 (1982)","journal-title":"Int. J. Fuzzy Sets Syst."},{"issue":"2","key":"5_CR22","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/S0020-0255(71)80005-1","volume":"3","author":"L Zadeh","year":"1971","unstructured":"Zadeh, L.: Similarity relations and fuzzy orderings. Inf. Sci. 3(2), 177\u2013200 (1971)","journal-title":"Inf. Sci."},{"key":"5_CR23","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/S0019-9958(72)90199-4","volume":"20","author":"A Luca de","year":"1972","unstructured":"de Luca, A., Termini, S.: A definition of a nonprobabilistic entropy in the setting of fuzzy set theory. Inf. Control 20, 301\u2013312 (1972)","journal-title":"Inf. Control"},{"key":"5_CR24","doi-asserted-by":"crossref","unstructured":"Beaubouef, T., Petry, F., Buckles, B.: Extension of the relational database and its algebra with rough set techniques. Comput. Intell. 11, 233\u2013245 (1995)","DOI":"10.1111\/j.1467-8640.1995.tb00030.x"},{"key":"5_CR25","volume-title":"Fundamentals of Database Systems","author":"R Elmasri","year":"2004","unstructured":"Elmasri, R., Navathe, S.: Fundamentals of Database Systems, 4th edn. Addison Wesley, New York (2004)","edition":"4"},{"key":"5_CR26","doi-asserted-by":"crossref","unstructured":"Pawlak, Z.: Rough sets. Int. J. Comput. Inf. Sci. 11, 341\u2013356 (1982)","DOI":"10.1007\/BF01001956"},{"key":"5_CR27","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-011-3534-4","volume-title":"Rough Sets: Theoretical Aspects of Reasoning about Data","author":"Z Pawlak","year":"1991","unstructured":"Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning about Data. Kluwer, Norwell, MA (1991)"},{"issue":"1","key":"5_CR28","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1109\/TFUZZ.2011.2165847","volume":"20","author":"R Yager","year":"2012","unstructured":"Yager, R.: Conditional approach to possibility-probability fusion. IEEE Trans. Fuzzy Syst. 20(1), 46\u201356 (2012)","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"5_CR29","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/5716.001.0001","volume-title":"Qualitative Methods for Reasoning Under Uncertainty","author":"S Parsons","year":"2001","unstructured":"Parsons, S.: Qualitative Methods for Reasoning Under Uncertainty. MIT Press, Cambridge, MA (2001)"},{"key":"5_CR30","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0165-0114(78)90029-5","volume":"1","author":"L Zadeh","year":"1978","unstructured":"Zadeh, L.: Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets Syst. 1, 3\u201335 (1978)","journal-title":"Fuzzy Sets Syst."},{"key":"5_CR31","doi-asserted-by":"crossref","first-page":"809","DOI":"10.1007\/s12652-014-0228-9","volume":"5","author":"P Elmore","year":"2014","unstructured":"Elmore, P., Petry, F., Yager, R.: Comparative measures of aggregated uncertainty representations. J. Ambient Intell. Humanized Comput. 5, 809\u2013819 (2014)","journal-title":"J. Ambient Intell. Humanized Comput."},{"key":"5_CR32","first-page":"219","volume":"2","author":"G Arora","year":"2002","unstructured":"Arora, G., Petry, F., Beaubouef, T.: Uncertainty measures of type B under similarity relations. Int. J. Pure Appl. Math. 2, 219\u2013233 (2002)","journal-title":"Int. J. Pure Appl. Math."},{"key":"5_CR33","unstructured":"Arora, G., Petry, F., Beaubouef, T.: A note on parametric measures of information for fuzzy sets, Int. J. Comb. Inf. Syst. Sci. 26, 167\u2013174 (2003)"},{"key":"5_CR34","first-page":"167","volume-title":"Fuzzy Information and Decision Processes","author":"D Dubois","year":"1982","unstructured":"Dubois, D., Prade, H.: On several representations of an uncertain body of evidence. In: Gupta, M., Sanchez, E. (eds.) Fuzzy Information and Decision Processes, pp. 167\u2013182. North Holland, Amsterdam (1982)"},{"key":"5_CR35","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/j.ins.2015.06.009","volume":"322","author":"F Petry","year":"2015","unstructured":"Petry, F., Elmore, P., Yager, R.: Combining uncertain information of differing modalities. Inf. Sci. 322, 237\u2013256 (2015)","journal-title":"Inf. Sci."}],"container-title":["Studies in Fuzziness and Soft Computing","Granular, Soft and Fuzzy Approaches for Intelligent Systems"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-40314-4_5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,15]],"date-time":"2019-09-15T11:10:12Z","timestamp":1568545812000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-40314-4_5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,11,15]]},"ISBN":["9783319403120","9783319403144"],"references-count":35,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-40314-4_5","relation":{},"ISSN":["1434-9922","1860-0808"],"issn-type":[{"type":"print","value":"1434-9922"},{"type":"electronic","value":"1860-0808"}],"subject":[],"published":{"date-parts":[[2016,11,15]]}}}