{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T15:17:13Z","timestamp":1774624633354,"version":"3.50.1"},"reference-count":9,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2003,4]]},"abstract":"<jats:p> Three new versions of the most typical value (MTV)<jats:sup>1,2<\/jats:sup> of the population (generalized weighted averages) are introduced. The first version, WFEV<jats:sub>g<\/jats:sub>, is a generalization of the weighted fuzzy expected value (WFEV)<jats:sup>3<\/jats:sup> for any fuzzy measure g on a finite set and it coincides with the WFEV when a sampling probability distribution is used. The second and the third version are respectively the weighted fuzzy expected intervals WFEI and WFEI<jats:sub>g<\/jats:sub> which are generalizations of the WFEV, namely, MTV s of the population for a sampling distribution and for any fuzzy measure g on a finite set, respectively, when the fuzzy expected interval (FEI)<jats:sup>4<\/jats:sup> exists but the fuzzy expected value (FEV)<jats:sup>4<\/jats:sup> does not. The construction process is based on the Friedman-Schneider-Kandel (FSK)<jats:sup>3<\/jats:sup> principle and results in the new MTV s called the WFEI and the WFEI<jats:sub>g<\/jats:sub> when the combinatorial interval extension of a function<jats:sup>5<\/jats:sup> is used. <\/jats:p>","DOI":"10.1142\/s0218488503001989","type":"journal-article","created":{"date-parts":[[2003,8,6]],"date-time":"2003-08-06T05:41:45Z","timestamp":1060148505000},"page":"139-157","source":"Crossref","is-referenced-by-count":39,"title":["Weighted Fuzzy Averages in Fuzzy Environment: Part I. Insufficient Expert Data and Fuzzy Averages"],"prefix":"10.1142","volume":"11","author":[{"given":"G.","family":"Sirbiladze","sequence":"first","affiliation":[{"name":"Chair of Random Precesses Theory, Department of Applied Mathematics and Computer Sciences, Tbilisi State University, Georgia, 2, University St., Tbilisi  380043, Georgia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Sikharulidze","sequence":"additional","affiliation":[{"name":"Chair of Software and Information Technologies, Department of Applied Mathematics and Computer Sciences, Tbilisi State University, Georgia, 2, University St., Tbilisi  380043, Georgia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(95)00376-2"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(89)90065-1"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(88)90116-9"},{"key":"rf7","first-page":"396","volume":"5","author":"Kandel A.","journal-title":"IEEE Trans. on Systems, Man and Cybernetics, SMG-8"},{"key":"rf8","doi-asserted-by":"crossref","first-page":"1182","DOI":"10.1109\/TAC.1980.1102544","volume":"25","author":"Kandel A.","journal-title":"IEEE Trans. on Automatic Control"},{"key":"rf9","volume-title":"Theory of possibility \u2013 an approach to computerized processing of uncertainty","author":"Dubois D.","year":"1988"},{"key":"rf10","first-page":"23","volume":"31","author":"Campos I.","journal-title":"Fuzzy Sets and Systems"},{"key":"rf11","volume-title":"Interval Analysis","author":"Moore R. E.","year":"1996"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(87)90163-1"}],"container-title":["International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218488503001989","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T23:01:49Z","timestamp":1565132509000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488503001989"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,4]]},"references-count":9,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2003,4]]}},"alternative-id":["10.1142\/S0218488503001989"],"URL":"https:\/\/doi.org\/10.1142\/s0218488503001989","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,4]]}}}