{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T21:02:31Z","timestamp":1770757351519,"version":"3.50.0"},"reference-count":29,"publisher":"SAGE Publications","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2016,6,13]]},"DOI":"10.3233\/ifs-162115","type":"journal-article","created":{"date-parts":[[2016,6,14]],"date-time":"2016-06-14T17:00:13Z","timestamp":1465923613000},"page":"45-54","source":"Crossref","is-referenced-by-count":1,"title":["On the stability of solutions of fuzzy differential equations in the quotient space of fuzzy numbers"],"prefix":"10.1177","volume":"31","author":[{"given":"Dong","family":"Qiu","sequence":"first","affiliation":[{"name":"School of Science, Chongqing University of Posts and Telecommunications, Nanan, Chongqing, P.R. China"}]},{"given":"Rongwen","family":"Dong","sequence":"additional","affiliation":[{"name":"School of Science, Chongqing University of Posts and Telecommunications, Nanan, Chongqing, P.R. China"}]},{"given":"Chongxia","family":"Lu","sequence":"additional","affiliation":[{"name":"School of Science, Chongqing University of Posts and Telecommunications, Nanan, Chongqing, P.R. China"}]},{"given":"Chunlai","family":"Mu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Chongqing University, Shapingba, P.R. China"}]}],"member":"179","reference":[{"key":"10.3233\/IFS-162115_ref1","doi-asserted-by":"crossref","first-page":"2186","DOI":"10.1016\/j.asoc.2010.07.018","article-title":"The exact solutions of fuzzy wave-like equations with variable coefficients by a variational iteration method","volume":"11","author":"Allahviranloo","year":"2011","journal-title":"Appl Soft Comput"},{"key":"10.3233\/IFS-162115_ref2","doi-asserted-by":"crossref","first-page":"1951","DOI":"10.3233\/IFS-130874","article-title":"Fuzzy generalized H-differential and applications to fuzzy differential equations of second-order","volume":"26","author":"Allahviranloo","year":"2014","journal-title":"J Intell Fuzzy Syst"},{"key":"10.3233\/IFS-162115_ref3","doi-asserted-by":"crossref","first-page":"1207","DOI":"10.1016\/j.ins.2008.11.004","article-title":"Toward the existence and uniqueness of solutions of second-order fuzzy differential equations","volume":"179","author":"Allahviranloo","year":"2009","journal-title":"J Inf Sci"},{"key":"10.3233\/IFS-162115_ref4","doi-asserted-by":"crossref","first-page":"1039","DOI":"10.3233\/IFS-151713","article-title":"A full fuzzy method for solving differential equation based on Taylor expansion","volume":"29","author":"Allahviranloo","year":"2015","journal-title":"J Intell Fuzzy Syst"},{"key":"10.3233\/IFS-162115_ref5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.fss.2014.11.009","article-title":"On fuzzy solutions for heat equation based on generalized Hukuhara differentiability","volume":"265","author":"Allahviranloo","year":"2015","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/IFS-162115_ref6","first-page":"155","article-title":"On H-fuzzy differentiation","volume":"16","author":"Anastassiou","year":"2002","journal-title":"Math Balk"},{"key":"10.3233\/IFS-162115_ref7","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1016\/j.fss.2012.10.003","article-title":"Generalized differentiability of fuzzyvalued functions","volume":"230","author":"Bede","year":"2013","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/IFS-162115_ref8","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1109\/91.873581","article-title":"Stability and periodicity in fuzzy differential equations","volume":"8","author":"Diamond","year":"2000","journal-title":"IEEE Trans Fuzzy Systems"},{"key":"10.3233\/IFS-162115_ref9","volume-title":"Fuzzy Sets and Systems","author":"Dubois","year":"1980"},{"key":"10.3233\/IFS-162115_ref10","doi-asserted-by":"crossref","first-page":"1066","DOI":"10.1007\/s11253-005-0248-x","article-title":"A note on the asymptotic stability of fuzzy differential equations","volume":"57","author":"Hien","year":"2005","journal-title":"Ukrainian Mathematical Journal"},{"key":"10.3233\/IFS-162115_ref11","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/0020-0255(95)00163-8","article-title":"Additive decomposition of fuzzy quantities","volume":"88","author":"Hong","year":"1996","journal-title":"Inf Sci"},{"key":"10.3233\/IFS-162115_ref12","first-page":"205","article-title":"Integration des applications measurables dont la valeur est un compact convexe","volume":"10","author":"Hukuhara","year":"1967","journal-title":"Funkc Ekvacioj"},{"key":"10.3233\/IFS-162115_ref13","unstructured":"Jamison K.D. , A normed space of fuzzy number equivalence classes, UCD\/CCM Report No. 112, 1997."},{"key":"10.3233\/IFS-162115_ref14","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/0165-0114(87)90029-7","article-title":"Fuzzy differential equations","volume":"24","author":"Kaleva","year":"1987","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/IFS-162115_ref15","volume-title":"Introductory Real Analysis","author":"Kolmogorov","year":"1975"},{"key":"10.3233\/IFS-162115_ref16","volume-title":"Differential and Integral Inequalities","author":"Lakshmikantham","year":"1996"},{"key":"10.3233\/IFS-162115_ref17","first-page":"104","article-title":"s, Addition of fuzzy quantities: Disjunctionconjunction approach","volume":"25","author":"Mare\u0161","year":"1989","journal-title":"Kybernetika"},{"key":"10.3233\/IFS-162115_ref18","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1016\/0165-0114(92)90299-J","article-title":"Additive decomposition of fuzzy quantities","volume":"47","author":"Mare\u0161","year":"1992","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/IFS-162115_ref19","doi-asserted-by":"crossref","first-page":"552","DOI":"10.1016\/0022-247X(83)90169-5","article-title":"Differentials of fuzzy functions","volume":"91","author":"Purl","year":"1983","journal-title":"J Math Anal Appl"},{"key":"10.3233\/IFS-162115_ref20","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/j.fss.2014.01.003","article-title":"Algebraic properties and topological properties of the quotient space of fuzzy numbers based on Mare\u0161 equivalence relation","volume":"245","author":"Qiu","year":"2014","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/IFS-162115_ref21","doi-asserted-by":"crossref","unstructured":"Qiu D. , Zhang W. and Lu C. , On fuzzy differential equations in the quotient space of fuzzy numbers, Fuzzy Sets Syst, (2015). http:\/\/dx.doi.org\/10.1016\/j.fss.2015.03.010.","DOI":"10.1016\/j.fss.2015.03.010"},{"key":"10.3233\/IFS-162115_ref22","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1186\/1687-1847-2014-303","article-title":"Basic theorems for fuzzy differentail equations in the quotient space of fuzzy numbers","volume":"2014","author":"Qiu","year":"2014","journal-title":"Advances in Difference Equations"},{"key":"10.3233\/IFS-162115_ref23","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1007\/s00500-012-0907-4","article-title":"Applications of fuzzy Laplace transforms","volume":"17","author":"Salahshour","year":"2013","journal-title":"Soft Comput"},{"key":"10.3233\/IFS-162115_ref24","doi-asserted-by":"crossref","first-page":"1267","DOI":"10.1016\/j.camwa.2004.03.016","article-title":"Asymptotic equilibrium and stability of fuzzy differential equations","volume":"49","author":"Song","year":"2005","journal-title":"Comput Math Appl"},{"key":"10.3233\/IFS-162115_ref25","doi-asserted-by":"crossref","unstructured":"Wang H. , Monotone iterative method for boundary value problems of fuzzy differential equations, J, Intell. Fuzzy Syst (2015). DOI: 10.3233\/IFS-151806","DOI":"10.3233\/IFS-151806"},{"key":"10.3233\/IFS-162115_ref26","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1006\/jmaa.1996.0338","article-title":"Approximate solutions and existence and uniqueness theorem to the Cauchy problem of fuzzy diffrential equations","volume":"202","author":"Wu","year":"1996","journal-title":"J Math Anal Appl"},{"key":"10.3233\/IFS-162115_ref27","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/S0020-0255(97)10064-0","article-title":"Existence theorem to the Cauchy problem of fuzzy diffrential equations under compactness-type conditions","volume":"108","author":"Wu","year":"1998","journal-title":"Inf Sci"},{"key":"10.3233\/IFS-162115_ref28","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/0020-0255(75)90036-5","article-title":"The concept of a linguistic variable and its applications to approximate reasoning, Parts I","volume":"8","author":"Zadeh","year":"1975","journal-title":"Inf Sci"},{"key":"10.3233\/IFS-162115_ref29","doi-asserted-by":"crossref","first-page":"307","DOI":"10.3233\/IFS-151596","article-title":"Practical stability of fuzzy differential equations with the second type of Hukuhara derivative","volume":"29","author":"Zhang","year":"2015","journal-title":"J Intell Fuzzy Syst"}],"container-title":["Journal of Intelligent & Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/IFS-162115","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,9]],"date-time":"2026-02-09T05:24:08Z","timestamp":1770614648000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/IFS-162115"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,6,13]]},"references-count":29,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.3233\/ifs-162115","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,6,13]]}}}