{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:30:56Z","timestamp":1777703456350,"version":"3.51.4"},"reference-count":19,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2019,6,8]],"date-time":"2019-06-08T00:00:00Z","timestamp":1559952000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2019,9,9]]},"abstract":"<jats:p>Einstein product is a t-norm and Einstein sum is a t-conorm. They are good alternatives to algebraic product and algebraic sum, respectively. Nevertheless, it seems that most of the existing triangular fuzzy aggregation operators are based on the algebraic operations. In this paper, we utilize Einstein operations to develop some triangular fuzzy aggregation operators: triangular fuzzy Einstein weighted average (TFEWA) operator, triangular fuzzy Einstein ordered weighted average (TFEOWA) operator and triangular fuzzy Einstein hybrid average (TFEHA) operator. Then, we have utilized these operators to develop some approaches to solve the triangular fuzzy comprehensive evaluation problems. Finally, a practical example for evaluating the economic benefit evaluation of investment project of electric power enterprise is given to verify the developed approach.<\/jats:p>","DOI":"10.3233\/jifs-179225","type":"journal-article","created":{"date-parts":[[2019,6,11]],"date-time":"2019-06-11T11:50:28Z","timestamp":1560253828000},"page":"1615-1620","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Models for economic benefit evaluation of investment project of electric power enterprise with triangular fuzzy information"],"prefix":"10.1177","volume":"37","author":[{"given":"Dunnan","family":"Liu","sequence":"first","affiliation":[{"name":"Economics and Management School, North China Electric Power University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yugui","family":"Gu","sequence":"additional","affiliation":[{"name":"Beijing Electric Power Trading Center, Xicheng District, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ruixing","family":"Yang","sequence":"additional","affiliation":[{"name":"Changsha University of Science &amp;Technology, Changsha, Changsha, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guangyu","family":"Qin","sequence":"additional","affiliation":[{"name":"Economics and Management School, North China Electric Power University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaotong","family":"Li","sequence":"additional","affiliation":[{"name":"Economics and Management School, North China Electric Power University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiangyan","family":"Liu","sequence":"additional","affiliation":[{"name":"Economics and Management School, North China Electric Power University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongquan","family":"Chen","sequence":"additional","affiliation":[{"name":"Economics and Management School, North China Electric Power University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,6,8]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1287\/opre.1100.0856"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.dss.2010.11.024"},{"issue":"197","key":"e_1_3_2_4_2","first-page":"109","article-title":"Robust optimization analysis for multiple attribute decision making problems with imprecise information","volume":"197","author":"Wang J.M.","unstructured":"WangJ.M., Robust optimization analysis for multiple attribute decision making problems with imprecise information, Annals of Operations Research 197(197), 109\u2013122.","journal-title":"Annals of Operations Research"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCA.2005.853488"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2010.11.001"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(99)00024-X"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(98)00383-X"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2011.12.002"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.20368"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.20330"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2010.08.087"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(83)80082-7"},{"key":"e_1_3_2_14_2","unstructured":"Z\u00e9t\u00e9nyiT. 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