{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T20:12:04Z","timestamp":1760213524851,"version":"build-2065373602"},"reference-count":56,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2016,11,3]],"date-time":"2016-11-03T00:00:00Z","timestamp":1478131200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71271083, 71671064"],"award-info":[{"award-number":["71271083, 71671064"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["2015XS33, 12ZX08"],"award-info":[{"award-number":["2015XS33, 12ZX08"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004543","name":"China Scholarship Council","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004543","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Humanities and Social Science Fund Major Project of Beijing under Grant","award":["15ZDA19"],"award-info":[{"award-number":["15ZDA19"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Information"],"abstract":"<jats:p>To depict the influence of decision makers\u2019 risk psychology on the interval-valued intuitionistic fuzzy multi-criteria decision-making process, this paper proposes a new method based on prospect theory. Considering the risk attitude of the decision maker, we transform interval-valued intuitionistic fuzzy numbers into real numbers via a prospect value function and consequently derive the prospect decision matrices. Regarding the criteria weights that are incompletely known or completely unknown, a new nonlinear optimization model is developed to determine the criteria weights by considering the subjective and objective factors. Furthermore, we calculate the prospect projection of each alternative for the ideal solution and rank all the alternatives according to the prospect projection values. Finally, an example is provided to illustrate the application of the developed approach.<\/jats:p>","DOI":"10.3390\/info7040064","type":"journal-article","created":{"date-parts":[[2016,11,3]],"date-time":"2016-11-03T04:14:52Z","timestamp":1478146492000},"page":"64","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["A New Prospect Projection Multi-Criteria Decision-Making Method for Interval-Valued Intuitionistic Fuzzy Numbers"],"prefix":"10.3390","volume":"7","author":[{"given":"Jianwei","family":"Gao","sequence":"first","affiliation":[{"name":"School of Economics and Management, North China Electric Power University, Beijing 102206, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9353-8875","authenticated-orcid":false,"given":"Huihui","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Economics and Management, North China Electric Power University, Beijing 102206, China"},{"name":"Department of Industrial and Systems Engineering, North Carolina State University, Raleigh, NC 27695, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2016,11,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"748","DOI":"10.1016\/j.ejor.2014.07.037","article-title":"Extreme point-based multi-attribute decision analysis with incomplete information","volume":"240","author":"Ahn","year":"2015","journal-title":"Eur. 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