{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,18]],"date-time":"2026-07-18T13:03:50Z","timestamp":1784379830972,"version":"3.55.0"},"reference-count":16,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Fuzzy Sets and Systems"],"published-print":{"date-parts":[[2026,11]]},"DOI":"10.1016\/j.fss.2026.110004","type":"journal-article","created":{"date-parts":[[2026,6,5]],"date-time":"2026-06-05T16:14:29Z","timestamp":1780676069000},"page":"110004","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["*\u2013Fuzzy martingale and Doob\u2019s maximal inequalities"],"prefix":"10.1016","volume":"542","author":[{"given":"Mohammad Saeid","family":"Abolhassanifar","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6770-6951","authenticated-orcid":false,"given":"Reza","family":"Saadati","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mohammad Bagher","family":"Ghaemi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Radko","family":"Mesiar","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"8","key":"10.1016\/j.fss.2026.110004_bib0001","article-title":"Inequalities in triangular norm-based *-fuzzy (L+)p spaces","volume":"2020","author":"Ghaffari","year":"1984","journal-title":"Mathematics"},{"key":"10.1016\/j.fss.2026.110004_bib0002","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1016\/j.fss.2021.03.018","article-title":"Fuzzy number-valued triangular norm-based decomposable time-stamped fuzzy measure and integration","volume":"430","author":"Ghaffari","year":"2022","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2026.110004_bib0003","series-title":"North-Holland Series in Probability and Applied Mathematics","author":"Schweizer","year":"1983"},{"key":"10.1016\/j.fss.2026.110004_bib0004","doi-asserted-by":"crossref","DOI":"10.1016\/j.fss.2025.109579","article-title":"The *-fuzzy Lebesgue-Radon-Nikodym theorem and differentiation in fuzzy measure theory","volume":"523","author":"Ghaffari","year":"2026","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2026.110004_bib0005","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.fss.2025.109380","article-title":"Radon-Nikod\u00fdm theorems for generalized fuzzy number measures","volume":"512","author":"Kaliaj","year":"2025","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2026.110004_bib0006","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1016\/j.fss.2024.108995","article-title":"A Radon-Nikodym theorem for monotone measures","volume":"487","author":"Ouyang","year":"2024","journal-title":"Fuzzy Sets Syst."},{"issue":"11","key":"10.1016\/j.fss.2026.110004_bib0007","doi-asserted-by":"crossref","first-page":"3558","DOI":"10.3390\/pr13113558","article-title":"An intelligent Choquet fuzzy integral-based framework for risk assessment in seismic acquisition processes","volume":"13","author":"He","year":"2025","journal-title":"Processes"},{"key":"10.1016\/j.fss.2026.110004_bib0008","doi-asserted-by":"crossref","DOI":"10.1016\/j.ins.2024.121105","article-title":"Computation of Choquet integrals: analytical approach for continuous functions","volume":"679","author":"Ontkovi\u010dov\u00e1","year":"2024","journal-title":"Inf. Sci."},{"key":"10.1016\/j.fss.2026.110004_bib0009","series-title":"Cambridge Series in Statistical and Probabilistic Mathematics","article-title":"Probability-theory and examples","volume":"49","author":"Durrett","year":"2019"},{"key":"10.1016\/j.fss.2026.110004_bib0010","series-title":"Cambridge Mathematical Textbooks","first-page":"xvi+251","article-title":"Probability with martingales","author":"Williams","year":"1991"},{"key":"10.1016\/j.fss.2026.110004_bib0011","series-title":"Mathematics and its Applications","article-title":"Fixed Point Theory in Probabilistic Metric Spaces","volume":"536","author":"Hadzic","year":"2001"},{"issue":"1","key":"10.1016\/j.fss.2026.110004_bib0012","doi-asserted-by":"crossref","first-page":"359","DOI":"10.18514\/MMN.2023.3145","article-title":"Fuzzy approximation of an additive (\u03c11, \u03c12)-random operator inequality","volume":"24","author":"Pap","year":"2023","journal-title":"Miskolc Math. Notes"},{"key":"10.1016\/j.fss.2026.110004_bib0013","doi-asserted-by":"crossref","DOI":"10.1088\/1742-6596\/1664\/1\/012035","article-title":"Some results related with \u03b4-fuzzy martingale","volume":"1664","author":"Al-Mayahi","year":"2020","journal-title":"J. Phys. Conf. Ser."},{"key":"10.1016\/j.fss.2026.110004_bib0014","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/j.fss.2025.109447","article-title":"Uniform random fuzzy measures","volume":"516","author":"Baz","year":"2025","journal-title":"Fuzzy Sets Syst."},{"issue":"8","key":"10.1016\/j.fss.2026.110004_bib0015","doi-asserted-by":"crossref","first-page":"496","DOI":"10.3390\/fractalfract9080496","article-title":"Hausdorff outer measures and the representation of coherent upper conditional previsions by the countably additive M\u00f6bius transform","volume":"9","author":"Doria","year":"2025","journal-title":"Fractal Fract."},{"key":"10.1016\/j.fss.2026.110004_bib0016","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1186\/s13662-021-03363-3","article-title":"*-fuzzy measure model for COVID-19 disease","volume":"2021","author":"Ghaffari","year":"2021","journal-title":"Adv. Differ. Equ."}],"container-title":["Fuzzy Sets and Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165011426002411?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165011426002411?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,18]],"date-time":"2026-07-18T12:40:34Z","timestamp":1784378434000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0165011426002411"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,11]]},"references-count":16,"alternative-id":["S0165011426002411"],"URL":"https:\/\/doi.org\/10.1016\/j.fss.2026.110004","relation":{},"ISSN":["0165-0114"],"issn-type":[{"value":"0165-0114","type":"print"}],"subject":[],"published":{"date-parts":[[2026,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"*\u2013Fuzzy martingale and Doob\u2019s maximal inequalities","name":"articletitle","label":"Article Title"},{"value":"Fuzzy Sets and Systems","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.fss.2026.110004","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"110004"}}