{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T18:11:28Z","timestamp":1725559888756},"publisher-location":"Berlin, Heidelberg","reference-count":23,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540283126"},{"type":"electronic","value":"9783540318309"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2005]]},"DOI":"10.1007\/11539506_40","type":"book-chapter","created":{"date-parts":[[2010,7,21]],"date-time":"2010-07-21T10:15:58Z","timestamp":1279707358000},"page":"321-331","source":"Crossref","is-referenced-by-count":6,"title":["Convergence Criteria and Convergence Relations for Sequences of Fuzzy Random Variables"],"prefix":"10.1007","author":[{"given":"Yan-Kui","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinwu","family":"Gao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"40_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-0399-0","volume-title":"Measure Theory","author":"D.L. Cohn","year":"1980","unstructured":"Cohn, D.L.: Measure Theory. Birkh\u00e4user, Boston (1980)"},{"key":"40_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-5287-7","volume-title":"Possibility Theory","author":"D. Dubois","year":"1988","unstructured":"Dubois, D., Prade, H.: Possibility Theory. Plenum Press, New York (1988)"},{"key":"40_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0165-0114(00)00038-5","volume":"123","author":"V. Kr\u00e4tschmer","year":"2001","unstructured":"Kr\u00e4tschmer, V.: A Unified Approach to Fuzzy Random Variables. Fuzzy Sets Syst.\u00a0123, 1\u20139 (2001)","journal-title":"Fuzzy Sets Syst."},{"key":"40_CR4","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1016\/S0165-0114(97)00371-0","volume":"108","author":"G.J. Klir","year":"1999","unstructured":"Klir, G.J.: On Fuzzy-Set Interpretation of Possibility Theory. Fuzzy Sets Syst.\u00a0108, 263\u2013373 (1999)","journal-title":"Fuzzy Sets Syst."},{"key":"40_CR5","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-009-3943-1","volume-title":"Statistics with Vague Data","author":"R. Kruse","year":"1987","unstructured":"Kruse, R., Meyer, K.D.: Statistics with Vague Data. D. Reidel Publishing Company, Dordrecht (1987)"},{"key":"40_CR6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0020-0255(78)90019-1","volume":"15","author":"H. Kwakernaak","year":"1978","unstructured":"Kwakernaak, H.: Fuzzy Random Variables\u2013I. Definitions and Theorems. Inform. Sciences\u00a015, 1\u201329 (1978)","journal-title":"Definitions and Theorems. Inform. Sciences"},{"key":"40_CR7","volume-title":"Uncertain Programming","author":"B. Liu","year":"1999","unstructured":"Liu, B.: Uncertain Programming. John Wiley & Sons, New York (1999)"},{"key":"40_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-39987-2","volume-title":"Uncertainty Theory: An Introduction to Its Axiomatic Foundations","author":"B. Liu","year":"2004","unstructured":"Liu, B.: Uncertainty Theory: An Introduction to Its Axiomatic Foundations. Springer, New York (2004)"},{"key":"40_CR9","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1109\/TFUZZ.2002.800692","volume":"10","author":"B. Liu","year":"2002","unstructured":"Liu, B., Liu, Y.-K.: Expected Value of Fuzzy Variable and Fuzzy Expected Value Models. IEEE Trans.\u00a0Fuzzy Syst.\u00a010, 445\u2013450 (2002)","journal-title":"IEEE Trans.\u00a0Fuzzy Syst."},{"key":"40_CR10","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1016\/S0165-0114(97)00349-7","volume":"112","author":"Y.-K. Liu","year":"2000","unstructured":"Liu, Y.-K.: On the Convergence of Measurable Set-Valued Function Sequence on Fuzzy Measure Space. Fuzzy Sets Syst.\u00a0112, 241\u2013249 (2000)","journal-title":"Fuzzy Sets Syst."},{"key":"40_CR11","doi-asserted-by":"publisher","first-page":"511","DOI":"10.1016\/S0165-0114(99)00177-3","volume":"120","author":"Y.-K. Liu","year":"2001","unstructured":"Liu, Y.-K., Liu, B.: The Relationship between Structural Characteristics of Fuzzy Measure and Convergences of Sequences of Measurable Functions. Fuzzy Sets Syst.\u00a0120, 511\u2013516 (2001)","journal-title":"Fuzzy Sets Syst."},{"key":"40_CR12","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1023\/A:1023447217758","volume":"2","author":"Y.-K. Liu","year":"2003","unstructured":"Liu, Y.-K., Liu, B.: Fuzzy Random Variable: A Scalar Expected Value Operator. Fuzzy Optimization and Decision Making\u00a02, 143\u2013160 (2003)","journal-title":"Fuzzy Optimization and Decision Making"},{"key":"40_CR13","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/S0020-0255(03)00079-3","volume":"155","author":"Y.-K. Liu","year":"2003","unstructured":"Liu, Y.-K., Liu, B.: A Class of Fuzzy Random Optimization: Expected Value Models. Inform. Sciences\u00a0155, 89\u2013102 (2003)","journal-title":"Inform. Sciences"},{"key":"40_CR14","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1016\/j.cor.2004.03.006","volume":"32","author":"Y.-K. Liu","year":"2005","unstructured":"Liu, Y.-K., Liu, B.: On Minimum-Risk Problems in Fuzzy Random Decision Systems. Computers & Operations Research\u00a032, 257\u2013283 (2005)","journal-title":"Computers & Operations Research"},{"key":"40_CR15","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1016\/j.ins.2004.03.010","volume":"170","author":"Y.-K. Liu","year":"2005","unstructured":"Liu, Y.-K., Liu, B.: Fuzzy Random Programming with Equilibrium Chance Constraints. Inform. Sciences\u00a0170, 363\u2013395 (2005)","journal-title":"Inform. Sciences"},{"key":"40_CR16","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1016\/0165-0114(93)90025-D","volume":"57","author":"G. Wang","year":"1993","unstructured":"Wang, G., Qiao, Z.: Linear Programming with Fuzzy Random Variable Coefficients. Fuzzy Sets Syst.\u00a057, 295\u2013311 (1993)","journal-title":"Fuzzy Sets Syst."},{"key":"40_CR17","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1016\/S0167-7152(97)00056-4","volume":"36","author":"M. L\u00f3pez-Diaz","year":"1997","unstructured":"L\u00f3pez-Diaz, M., Gil, M.A.: Constructive Definitions of Fuzzy Random Variables. Statistics and Probability Letters\u00a036, 135\u2013143 (1997)","journal-title":"Statistics and Probability Letters"},{"key":"40_CR18","doi-asserted-by":"publisher","first-page":"291","DOI":"10.1016\/0165-0114(95)00043-7","volume":"77","author":"M.K. Luhandjula","year":"1996","unstructured":"Luhandjula, M.K.: Fuzziness and Randomness in an Optimization Framework. Fuzzy Sets Syst.\u00a077, 291\u2013297 (1996)","journal-title":"Fuzzy Sets Syst."},{"key":"40_CR19","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1016\/0165-0114(78)90011-8","volume":"1","author":"S. Nahmias","year":"1978","unstructured":"Nahmias, S.: Fuzzy Variables. Fuzzy Sets Syst.\u00a01, 97\u2013101 (1978)","journal-title":"Fuzzy Sets Syst."},{"key":"40_CR20","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1016\/0022-247X(86)90093-4","volume":"114","author":"M.L. Puri","year":"1986","unstructured":"Puri, M.L., Ralescu, D.A.: Fuzzy Random Variables. J. Math. Anal. Appl.\u00a0114, 409\u2013422 (1986)","journal-title":"J. Math. Anal. Appl."},{"key":"40_CR21","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1016\/0165-0114(82)90032-X","volume":"8","author":"P. Wang","year":"1982","unstructured":"Wang, P.: Fuzzy Contactability and Fuzzy Variables. Fuzzy Sets Syst.\u00a08, 81\u201392 (1982)","journal-title":"Fuzzy Sets Syst."},{"key":"40_CR22","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-5303-5","volume-title":"Fuzzy Measure Theory","author":"Z. Wang","year":"1992","unstructured":"Wang, Z., Klir, G.J.: Fuzzy Measure Theory. Plenum Press, New York (1992)"},{"key":"40_CR23","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/0165-0114(78)90029-5","volume":"1","author":"L.A. Zadeh","year":"1978","unstructured":"Zadeh, L.A.: Fuzzy Sets as a Basis for a Theory of Possibility. Fuzzy Sets Syst.\u00a01, 3\u201328 (1978)","journal-title":"Fuzzy Sets Syst."}],"container-title":["Lecture Notes in Computer Science","Fuzzy Systems and Knowledge Discovery"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11539506_40.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,17]],"date-time":"2020-11-17T15:16:49Z","timestamp":1605626209000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11539506_40"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"ISBN":["9783540283126","9783540318309"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/11539506_40","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2005]]}}}