{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:50:12Z","timestamp":1740124212616,"version":"3.37.3"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2016,2,5]],"date-time":"2016-02-05T00:00:00Z","timestamp":1454630400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100002538","name":"Myongji University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002538","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Fuzzy Optim Decis Making"],"published-print":{"date-parts":[[2016,12]]},"DOI":"10.1007\/s10700-016-9234-z","type":"journal-article","created":{"date-parts":[[2016,2,5]],"date-time":"2016-02-05T15:02:15Z","timestamp":1454684535000},"page":"397-413","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Blackwell type theorem for general T-related and identically distributed fuzzy variables"],"prefix":"10.1007","volume":"15","author":[{"given":"Dug Hun","family":"Hong","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,2,5]]},"reference":[{"key":"9234_CR1","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/0020-0255(82)90046-9","volume":"28","author":"R Badard","year":"1982","unstructured":"Badard, R. (1982). The law of large numbers for fuzzy processes and the estimation problem. Information Science, 28, 161\u2013178.","journal-title":"Information Science"},{"key":"9234_CR2","doi-asserted-by":"crossref","DOI":"10.1142\/2326","volume-title":"Metric space of fuzzy sets: Theory and applications","author":"P Diamond","year":"1994","unstructured":"Diamond, P., & Kloeden, P. (1994). Metric space of fuzzy sets: Theory and applications. Singapore: World Scientific Publishing Co Pte. Ltd."},{"key":"9234_CR3","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1016\/0165-0114(92)90147-V","volume":"45","author":"R Full\u00e9r","year":"1992","unstructured":"Full\u00e9r, R. (1992). A law of large numbers for fuzzy numbers. Fuzzy Sets and Systems, 45, 299\u2013303.","journal-title":"Fuzzy Sets and Systems"},{"key":"9234_CR4","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1016\/0165-0114(91)90139-H","volume":"41","author":"R Full\u00e9r","year":"1991","unstructured":"Full\u00e9r, R., & Keresztfalvi, T. (1991). On generalization of Nguyen\u2019s theorem. Fuzzy Sets and Systems, 41, 371\u2013374.","journal-title":"Fuzzy Sets and Systems"},{"key":"9234_CR5","doi-asserted-by":"crossref","first-page":"2386","DOI":"10.1016\/j.ins.2005.06.008","volume":"176","author":"DH Hong","year":"2006","unstructured":"Hong, D. H. (2006). Renewal process with T-related fuzzy inter-arrival times and fuzzy rewards. Information Sciences, 176, 2386\u20132395.","journal-title":"Information Sciences"},{"key":"9234_CR6","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1007\/s10700-013-9173-x","volume":"13","author":"DH Hong","year":"2014","unstructured":"Hong, D. H. (2014). Blackwell\u2019s theorem for fuzzy variables. Fuzzy Optimization and Decision Making, 13, 197\u2013210.","journal-title":"Fuzzy Optimization and Decision Making"},{"key":"9234_CR7","doi-asserted-by":"crossref","first-page":"1769","DOI":"10.1016\/j.ins.2010.01.006","volume":"180","author":"DH Hong","year":"2010","unstructured":"Hong, D. H. (2010). Blackwell\u2019s theorem for T-related fuzzy variables. Information Sciences, 180, 1769\u20131777.","journal-title":"Information Sciences"},{"key":"9234_CR8","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1016\/j.ins.2013.05.036","volume":"250","author":"DH Hong","year":"2013","unstructured":"Hong, D. H. (2013a). Erratum to Blackwell\u2019s theorem for T-related fuzzy variables. Information Sciences, 250, 227\u2013228.","journal-title":"Information Sciences"},{"key":"9234_CR9","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/j.ins.2012.12.016","volume":"228","author":"DH Hong","year":"2013","unstructured":"Hong, D. H. (2013b). The law of large numbers and renewal process for $$T$$ T -related weighted fuzzy numbers on $$R^p$$ R p . Information Sciences, 228, 45\u201360.","journal-title":"Information Sciences"},{"key":"9234_CR10","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1016\/j.fss.2013.01.011","volume":"223","author":"DH Hong","year":"2013","unstructured":"Hong, D. H. (2013c). Strong laws of large numbers for $$t$$ t -norm-based addition of fuzzy set-valued random variables. Fuzzy Sets and Systems, 223, 26\u201338.","journal-title":"Fuzzy Sets and Systems"},{"key":"9234_CR11","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/S0165-0114(98)00143-2","volume":"117","author":"C-M Hwang","year":"2000","unstructured":"Hwang, C.-M. (2000). A theorem of renewal process for fuzzy random variables and its application. Fuzzy Sets and Systems, 117, 237\u2013244.","journal-title":"Fuzzy Sets and Systems"},{"key":"9234_CR12","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. (2004). Uncertainty theory: An introduction to its axiomatic foundations. Berlin: Springer-Verlag."},{"key":"9234_CR13","doi-asserted-by":"crossref","first-page":"606","DOI":"10.1016\/S0377-2217(98)00247-1","volume":"117","author":"E Popova","year":"1999","unstructured":"Popova, E., & Wu, H. C. (1999). Renewal reward processes with fuzzy rewards and their applications to $$T$$ T -age replacement policies. European Journal of Operational Research, 117, 606\u2013617.","journal-title":"European Journal of Operational Research"},{"key":"9234_CR14","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1016\/0022-247X(86)90093-4","volume":"114","author":"ML Puri","year":"1986","unstructured":"Puri, M. L., & Ralescu, D. A. (1986). Fuzzy random variables. Journal of Mathematical Analysis and Applications, 114, 409\u2013422.","journal-title":"Journal of Mathematical Analysis and Applications"},{"key":"9234_CR15","doi-asserted-by":"crossref","first-page":"69","DOI":"10.5486\/PMD.1963.10.1-4.09","volume":"10","author":"B Schweizer","year":"1963","unstructured":"Schweizer, B., & Sklar, A. (1963). Associative functions and abstract semigroups. Publicationes Mathematicae Debrecen, 10, 69\u201381.","journal-title":"Publicationes Mathematicae Debrecen"},{"key":"9234_CR16","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1016\/0165-0114(93)90507-E","volume":"58","author":"E Triesch","year":"1993","unstructured":"Triesch, E. (1993). Characterization of Archimedean $$t$$ t -norms and a law of large numbers. Fuzzy Sets and Systems, 58, 339\u2013342.","journal-title":"Fuzzy Sets and Systems"},{"key":"9234_CR17","doi-asserted-by":"crossref","first-page":"1536","DOI":"10.1016\/j.apm.2014.09.014","volume":"39","author":"S Wang","year":"2015","unstructured":"Wang, S., & Liu, Y. (2015). Modeling renewal processes in fuzzy decision systems. Applied Mathematical Modeling, 39, 1536\u20131553.","journal-title":"Applied Mathematical Modeling"},{"key":"9234_CR18","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0165-0114(78)90029-5","volume":"6","author":"LA Zadeh","year":"1978","unstructured":"Zadeh, L. A. (1978). Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems, 6, 3\u201326.","journal-title":"Fuzzy Sets and Systems"},{"key":"9234_CR19","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338\u2013353.","journal-title":"Information and Control"},{"key":"9234_CR20","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1142\/S0218488503002338","volume":"11","author":"R Zhao","year":"2003","unstructured":"Zhao, R., & Liu, B. (2003). Renewal process with fuzzy inter-arrival times and rewards. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 11, 573\u2013586.","journal-title":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems"},{"key":"9234_CR21","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1109\/TFUZZ.2005.864088","volume":"14","author":"R Zhao","year":"2006","unstructured":"Zhao, R., & Tang, W. (2006). Some properties of fuzzy random renewal process. IEEE Transactions on Fuzzy Systems, 14, 173\u2013179.","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"9234_CR22","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/j.ejor.2004.04.049","volume":"169","author":"R Zhao","year":"2006","unstructured":"Zhao, R., Tang, W., & Yun, H. (2006). Random fuzzy renewal process. European Journal of Operational Research, 169, 189\u2013201.","journal-title":"European Journal of Operational Research"},{"key":"9234_CR23","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-7949-0","volume-title":"Fuzzy Set Theory-and Its Application","author":"H-J Zimmermann","year":"1991","unstructured":"Zimmermann, H.-J. (1991). Fuzzy Set Theory-and Its Application (2nd ed.). Dordrecht: Kluwer.","edition":"2"}],"container-title":["Fuzzy Optimization and Decision Making"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10700-016-9234-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10700-016-9234-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10700-016-9234-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10700-016-9234-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,16]],"date-time":"2023-08-16T19:32:03Z","timestamp":1692214323000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10700-016-9234-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,2,5]]},"references-count":23,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2016,12]]}},"alternative-id":["9234"],"URL":"https:\/\/doi.org\/10.1007\/s10700-016-9234-z","relation":{},"ISSN":["1568-4539","1573-2908"],"issn-type":[{"type":"print","value":"1568-4539"},{"type":"electronic","value":"1573-2908"}],"subject":[],"published":{"date-parts":[[2016,2,5]]}}}