{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,30]],"date-time":"2024-10-30T10:32:48Z","timestamp":1730284368878,"version":"3.28.0"},"reference-count":22,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,8]]},"DOI":"10.1109\/nafips-wconsc.2015.7284138","type":"proceedings-article","created":{"date-parts":[[2015,10,1]],"date-time":"2015-10-01T21:52:29Z","timestamp":1443736349000},"page":"1-6","source":"Crossref","is-referenced-by-count":4,"title":["From 1-D to 2-D fuzzy: A proof that interval-valued and complex-valued are the only distributive options"],"prefix":"10.1109","author":[{"given":"Christian","family":"Servin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vladik","family":"Kreinovich","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Olga","family":"Kosheleva","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4804-6_4"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1142\/9789814678629_0005"},{"journal-title":"Uncertain Rule-Based Fuzzy Logic Systems Introduction and New Directions","year":"2001","author":"mendel","key":"ref12"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1002\/9780470599655"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898717716"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1098-111X(199808)13:8<683::AID-INT1>3.3.CO;2-1"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488597000257"},{"journal-title":"A First Course in Fuzzy Logic","year":"2006","author":"nguyen","key":"ref17"},{"journal-title":"Measurement Errors and Uncertainty Theory and Practice","year":"2005","author":"rabinovich","key":"ref18"},{"key":"ref19","article-title":"Towards efficient algorithms for approximating a fuzzy relation by fuzzy rules: case when &#x2018;and&#x2019; - and &#x2018;or&#x2019;-operation are distributive","author":"servin","year":"2014","journal-title":"Proceedings of the 2014 Annual Conference of the North American Fuzzy Information Processing Society NAFIPS'2014"},{"journal-title":"Applied Interval Analysis with Examples in Parameter and State Estimation Robust Control and Robotics","year":"2001","author":"jaulin","key":"ref4"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2004.839669"},{"journal-title":"Fuzzy Sets and Fuzzy Logic","year":"1995","author":"klir","key":"ref6"},{"journal-title":"Hypercomplex Numbers an Elementary Introduction to Algebras","year":"1989","author":"kantor","key":"ref5"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/FUZZ-IEEE.2014.6891549"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1005-4_11"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2010.2096469"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/FUZZY.2010.5584120"},{"key":"ref9","first-page":"1233","article-title":"Why com-plexvalued fuzzy? Why complex values in general? A computational explanation","author":"kosheleva","year":"2013","journal-title":"Proceedings of the Joint World Congress of the International Fuzzy Systems Association and Annual Conference of the North American Fuzzy Information Processing Society IFSA\/NAFIPS2013"},{"key":"ref20","first-page":"253","article-title":"Calculus of approximations","volume":"4","author":"warmus","year":"1956","journal-title":"Bulletin de l'Academie Polonaise de Sciences"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"journal-title":"Complex Numbers in Geometry","year":"1968","author":"yaglom","key":"ref21"}],"event":{"name":"2015 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing (WConSC)","start":{"date-parts":[[2015,8,17]]},"location":"Redmond, WA, USA","end":{"date-parts":[[2015,8,19]]}},"container-title":["2015 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing (WConSC)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/7270533\/7284110\/07284138.pdf?arnumber=7284138","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,3,24]],"date-time":"2017-03-24T20:46:57Z","timestamp":1490388417000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7284138\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,8]]},"references-count":22,"URL":"https:\/\/doi.org\/10.1109\/nafips-wconsc.2015.7284138","relation":{},"subject":[],"published":{"date-parts":[[2015,8]]}}}