{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T12:40:53Z","timestamp":1774528853474,"version":"3.50.1"},"reference-count":18,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[1997,9,1]],"date-time":"1997-09-01T00:00:00Z","timestamp":873072000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Fuzzy Sets and Systems"],"published-print":{"date-parts":[[1997,9]]},"DOI":"10.1016\/s0165-0114(96)00114-5","type":"journal-article","created":{"date-parts":[[2003,4,4]],"date-time":"2003-04-04T20:00:31Z","timestamp":1049486431000},"page":"277-306","source":"Crossref","is-referenced-by-count":19,"title":["A quantum mechanical approach to a fuzzy theory"],"prefix":"10.1016","volume":"90","author":[{"given":"Shiro","family":"Ishikawa","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0165-0114(96)00114-5_BIB1","series-title":"Ergodic Theory and Information","author":"Billingsley","year":"1965"},{"key":"10.1016\/S0165-0114(96)00114-5_BIB2","series-title":"Quantum Theory of Open Systems","author":"Davies","year":"1976"},{"key":"10.1016\/S0165-0114(96)00114-5_BIB3","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/0022-247X(67)90189-8","article-title":"L-fuzzy sets","volume":"18","author":"Goguen","year":"1967","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/S0165-0114(96)00114-5_BIB4","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/0165-0114(81)90032-4","article-title":"Concepts of probabilistic sets","volume":"5","author":"Hirota","year":"1981","journal-title":"Fuzzy sets and Systems"},{"key":"10.1016\/S0165-0114(96)00114-5_BIB5","series-title":"Probabilistic and Statistical Aspects of Quantum Theory","author":"Holevo","year":"1982"},{"key":"10.1016\/S0165-0114(96)00114-5_BIB6","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/0034-4877(91)90046-P","article-title":"Uncertainty relations in simultaneous measurements for arbitrary observables","volume":"29","author":"Ishikawa","year":"1991","journal-title":"Reports Math. Phys."},{"key":"10.1016\/S0165-0114(96)00114-5_BIB7","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1007\/BF00672888","article-title":"Uncertainties and an interpretation of nonrelativistic quantum theory","volume":"30","author":"Ishikawa","year":"1991","journal-title":"Int. J. Theoret. Phys."},{"key":"10.1016\/S0165-0114(96)00114-5_BIB8","first-page":"1","article-title":"Heisenberg's uncertainty relation and a new measurement axiom in quantum theory","volume":"45","author":"Ishikawa","year":"1992","journal-title":"Keio Sci. Technol. Reports"},{"key":"10.1016\/S0165-0114(96)00114-5_BIB9","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/S0165-0114(96)00035-8","article-title":"Fuzzy inferences by algebraic method","volume":"87","author":"Ishikawa","year":"1997","journal-title":"Fuzzy sets and Systems"},{"key":"10.1016\/S0165-0114(96)00114-5_BIB10","doi-asserted-by":"crossref","first-page":"1265","DOI":"10.1007\/BF00670793","article-title":"Numerical analysis of trajectories of a quantum particle in two-slit experiment","volume":"33","author":"Ishikawa","year":"1994","journal-title":"Int. J. Theoret. Phys."},{"key":"10.1016\/S0165-0114(96)00114-5_BIB11","series-title":"Foundations of Probability","author":"Kolmogorov","year":"1950"},{"key":"10.1016\/S0165-0114(96)00114-5_BIB12","series-title":"Ergodic Theorems","author":"Krengel","year":"1985"},{"key":"10.1016\/S0165-0114(96)00114-5_BIB13","series-title":"Die Mathematische Grundlagen Der Quantenmechanik","author":"von Neumann","year":"1932"},{"key":"10.1016\/S0165-0114(96)00114-5_BIB14","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1103\/PhysRev.34.163","article-title":"The uncertainty principle","volume":"34","author":"Robertson","year":"1929","journal-title":"Phys. Rev."},{"key":"10.1016\/S0165-0114(96)00114-5_BIB15","article-title":"C\u2217-algebras and W\u2217-algebras","volume":"Band 60","author":"Sakai","year":"1971"},{"key":"10.1016\/S0165-0114(96)00114-5_BIB16","series-title":"Fuzzy Systems Theory and its Applications","author":"Terano","year":"1991"},{"key":"10.1016\/S0165-0114(96)00114-5_BIB17","series-title":"Functional analysis","author":"Yosida","year":"1980"},{"key":"10.1016\/S0165-0114(96)00114-5_BIB18","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","article-title":"Fuzzy sets","volume":"8","author":"Zadeh","year":"1965","journal-title":"Inform. Control"}],"container-title":["Fuzzy Sets and Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165011496001145?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165011496001145?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,30]],"date-time":"2019-04-30T13:54:36Z","timestamp":1556632476000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0165011496001145"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,9]]},"references-count":18,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1997,9]]}},"alternative-id":["S0165011496001145"],"URL":"https:\/\/doi.org\/10.1016\/s0165-0114(96)00114-5","relation":{},"ISSN":["0165-0114"],"issn-type":[{"value":"0165-0114","type":"print"}],"subject":[],"published":{"date-parts":[[1997,9]]}}}