{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:39:46Z","timestamp":1777703986552,"version":"3.51.4"},"reference-count":56,"publisher":"SAGE Publications","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2016,4,30]]},"DOI":"10.3233\/ifs-162101","type":"journal-article","created":{"date-parts":[[2016,5,9]],"date-time":"2016-05-09T16:31:01Z","timestamp":1462811461000},"page":"3567-3581","source":"Crossref","is-referenced-by-count":10,"title":["Triangular intuitionistic fuzzy random decision making based on combination of parametric estimation, score functions, and prospect theory"],"prefix":"10.1177","volume":"30","author":[{"given":"Zhen-Song","family":"Chen","sequence":"first","affiliation":[{"name":"School of Transportation and Logistics, Southwest Jiaotong University, Chengdu, Sichuan, People\u2019s Republic of China"},{"name":"National United Engineering Laboratory of Integrated and Intelligent Transportation, Southwest Jiaotong University, Chengdu, Sichuan, People\u2019s Republic of China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kwai-Sang","family":"Chin","sequence":"additional","affiliation":[{"name":"Department of System Engineering and Engineering Management, City University of Hong Kong, Kowloon Tong, Hong Kong, People\u2019s Republic of China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Heng","family":"Ding","sequence":"additional","affiliation":[{"name":"School of Transportation and Logistics, Southwest Jiaotong University, Chengdu, Sichuan, People\u2019s Republic of China"},{"name":"National United Engineering Laboratory of Integrated and Intelligent Transportation, Southwest Jiaotong University, Chengdu, Sichuan, People\u2019s Republic of China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yan-Lai","family":"Li","sequence":"additional","affiliation":[{"name":"School of Transportation and Logistics, Southwest Jiaotong University, Chengdu, Sichuan, People\u2019s Republic of China"},{"name":"National United Engineering Laboratory of Integrated and Intelligent Transportation, Southwest Jiaotong University, Chengdu, Sichuan, People\u2019s Republic of China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"key":"10.3233\/IFS-162101_ref1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-29127-2","volume-title":"On Intuitionistic Fuzzy Sets Theory","author":"Atanassov","year":"2012"},{"key":"10.3233\/IFS-162101_ref2","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-10945-9","volume-title":"Index Matrices: Towards an Augmented Matrix Calculus","author":"Atanassov","year":"2014"},{"key":"10.3233\/IFS-162101_ref3","doi-asserted-by":"crossref","first-page":"859","DOI":"10.1080\/00207720500382365","article-title":"Intuitionistic fuzzy interpretations of multi-criteria multi-person and multi-measurement tool decision making","volume":"36","author":"Atanassov","year":"2005","journal-title":"International Journal of Systems Science"},{"key":"10.3233\/IFS-162101_ref4","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1016\/j.fss.2011.05.024","article-title":"Using fuzzy random variables in life annuities pricing","volume":"188","author":"Andr\u00e9s-S\u00e1ncheza","year":"2012","journal-title":"Fuzzy sets and systems"},{"key":"10.3233\/IFS-162101_ref5","doi-asserted-by":"crossref","first-page":"1409","DOI":"10.1287\/mnsc.1060.0537","article-title":"Stochastic dominance and cumulative prospect theory","volume":"52","author":"Baucells","year":"2006","journal-title":"Management Science"},{"key":"10.3233\/IFS-162101_ref6","doi-asserted-by":"crossref","first-page":"863","DOI":"10.1287\/mnsc.1080.0978","article-title":"Additive utility in prospect theory","volume":"55","author":"Bleichrodt","year":"2009","journal-title":"Management Science"},{"key":"10.3233\/IFS-162101_ref7","first-page":"3138","article-title":"An improved MULTIMOORA approach for group decision making based upon interdependent inputs of intuitionistic trapezoidal fuzzy numbers","volume":"12","author":"Chen","year":"2014","journal-title":"Systems Engineering-Theory & Practice"},{"key":"10.3233\/IFS-162101_ref8","first-page":"1053","article-title":"Approach for group MULTIMOORA decision making based upon prospect intuitionistic trapezoidal fuzzy number Choquet integral operator","volume":"29","author":"Chen","year":"2014","journal-title":"Control & Decision"},{"key":"10.3233\/IFS-162101_ref9","doi-asserted-by":"crossref","first-page":"1070","DOI":"10.1109\/TFUZZ.2009.2021617","article-title":"On the variability of the concept of variance for fuzzy random variables","volume":"17","author":"Couso","year":"2009","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"10.3233\/IFS-162101_ref10","volume-title":"Probability and statistics","author":"Chen","year":"2000"},{"key":"10.3233\/IFS-162101_ref11","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1016\/0165-0114(94)90084-1","article-title":"Handling multi-criteria fuzzy decision-making problems based on vague set theory","volume":"67","author":"Chen","year":"1994","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/IFS-162101_ref12","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1016\/0165-0114(92)90143-R","article-title":"Possibility theory: An integral theoretic approach","volume":"46","author":"Cooman","year":"1992","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/IFS-162101_ref13","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-5287-7","volume-title":"Possibility Theory","author":"Dubois","year":"1988"},{"key":"10.3233\/IFS-162101_ref14","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/j.ijpe.2011.03.015","article-title":"A fuzzy random continuous review inventory system","volume":"132","author":"Dey","year":"2011","journal-title":"International Journal of Production Economics"},{"key":"10.3233\/IFS-162101_ref15","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1016\/j.cie.2013.02.013","article-title":"Multiple attribute decision making considering aspiration-levels: A method based on prospect theory","volume":"65","author":"Fan","year":"2013","journal-title":"Computers & Industrial Engineering"},{"key":"10.3233\/IFS-162101_ref16","first-page":"977","article-title":"Risk decision analysis method for emergency response based on prospect theory","volume":"32","author":"Fan","year":"2012","journal-title":"Systems Engineering-Theory & Practice"},{"key":"10.3233\/IFS-162101_ref17","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1007\/s10700-006-0013-0","article-title":"Measurability criteria for fuzzy random vectors","volume":"5","author":"Feng","year":"2006","journal-title":"Fuzzy Optimization and Decision Making"},{"key":"10.3233\/IFS-162101_ref18","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1016\/j.fss.2008.07.007","article-title":"Estimation of a simple linear regression model for fuzzy random variables","volume":"160","author":"Gonz\u00e1lez-Rodr\u00edguez","year":"2009","journal-title":"Fuzzy Sets & Systems"},{"key":"10.3233\/IFS-162101_ref19","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1287\/mnsc.1100.1269","article-title":"Portfolio choice under cumulative prospect theory: An analytical treatment","volume":"57","author":"He","year":"2011","journal-title":"Management Science"},{"key":"10.3233\/IFS-162101_ref20","first-page":"612","article-title":"The variance formulas for triangular fuzzy random variables","volume":"1","author":"Hao","year":"2008","journal-title":"Machine Learning and Cybernetics, International Conference on IEEE"},{"key":"10.3233\/IFS-162101_ref21","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/S0165-0114(97)00371-0","article-title":"On fuzzy-set interpretation of possibility theory","volume":"108","author":"Klir","year":"1999","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/IFS-162101_ref22","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0020-0255(78)90019-1","article-title":"Fuzzy random variables\u2014I. Definitions and theorems","volume":"15","author":"Kwakernaak","year":"1978","journal-title":"Information Sciences"},{"key":"10.3233\/IFS-162101_ref23","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1016\/0020-0255(79)90020-3","article-title":"Fuzzy random variables\u2014II. Algorithms and examples for the discrete case","volume":"17","author":"Kwakernaak","year":"1979","journal-title":"Information Sciences"},{"key":"10.3233\/IFS-162101_ref24","doi-asserted-by":"crossref","first-page":"263","DOI":"10.2307\/1914185","article-title":"Prospect theory: An analysis of decision under risk","volume":"47","author":"Kahneman","year":"1979","journal-title":"Econometrica"},{"key":"10.3233\/IFS-162101_ref25","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/j.cie.2014.10.022","article-title":"A continuous review production-inventory system in fuzzy random environment: Minmax distribution free procedure","volume":"79","author":"Kumar","year":"2015","journal-title":"Computers & Industrial Engineering"},{"key":"10.3233\/IFS-162101_ref26","doi-asserted-by":"crossref","first-page":"838","DOI":"10.1016\/j.asoc.2015.05.024","article-title":"A fuzzy random EPQ model for imperfect quality items with possibility and necessity constraints","volume":"34","author":"Kumar","year":"2015","journal-title":"Applied Soft Computing"},{"key":"10.3233\/IFS-162101_ref27","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/S0305-0548(03)00235-1","article-title":"On minimum-risk problems in fuzzy random decision systems","volume":"32","author":"Liu","year":"2005","journal-title":"Computers & Operations Research"},{"key":"10.3233\/IFS-162101_ref28","doi-asserted-by":"crossref","first-page":"1197","DOI":"10.1109\/TFUZZ.2006.890671","article-title":"The approximation method for two-stage fuzzy random programming with recourse","volume":"15","author":"Liu","year":"2007","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"10.3233\/IFS-162101_ref29","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1023\/A:1023447217758","article-title":"Fuzzy random variables: A scalar expected value operator","volume":"2","author":"Liu","year":"2003","journal-title":"Fuzzy Optimization and Decision Making"},{"key":"10.3233\/IFS-162101_ref30","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1016\/S0020-0255(03)00079-3","article-title":"A class of fuzzy random optimization: Expected value models","volume":"115","author":"Liu","year":"2003","journal-title":"Information Sciences"},{"key":"10.3233\/IFS-162101_ref31","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1142\/S0218488503002016","article-title":"Expected value operator of random fuzzy variable and random fuzzy expected value models, International Journal of Uncertainty","volume":"11","author":"Liu","year":"2003","journal-title":"Fuzziness and Knowledge-Based Systems"},{"key":"10.3233\/IFS-162101_ref32","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1142\/S021848850700456X","article-title":"The independence of fuzzy variables with applications to fuzzy random optimization, International Journal of Uncertainty","volume":"15","author":"Liu","year":"2007","journal-title":"Fuzziness and Knowledge-Based Systems"},{"key":"10.3233\/IFS-162101_ref33","doi-asserted-by":"crossref","first-page":"1741","DOI":"10.1016\/j.microrel.2008.07.059","article-title":"A note on \u201cusing intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly\u201d","volume":"48","author":"Li","year":"2008","journal-title":"Microelectronics Reliability"},{"key":"10.3233\/IFS-162101_ref34","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-39987-2","volume-title":"Uncertainty theory: An introduction to its axiomatic foundations","author":"Liu","year":"2004"},{"key":"10.3233\/IFS-162101_ref35","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1016\/j.ejor.2006.04.009","article-title":"Multi-criteria decision-making methods based on intuitionistic fuzzy sets","volume":"179","author":"Liu","year":"2007","journal-title":"European Journal of Operational Research"},{"key":"10.3233\/IFS-162101_ref36","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1142\/S0218488506004175","article-title":"A sufficient and necessary condition for credibility measures, International Journal of Uncertainty","volume":"14","author":"Li","year":"2006","journal-title":"Fuzziness & Knowledge-Based Systems"},{"key":"10.3233\/IFS-162101_ref37","doi-asserted-by":"crossref","first-page":"1009","DOI":"10.1109\/TFUZZ.2006.890677","article-title":"Reliability and mean time to failure of unrepairable systems with fuzzy random lifetimes","volume":"15","author":"Liu","year":"2007","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"10.3233\/IFS-162101_ref38","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1007\/s10726-011-9259-1","article-title":"A fuzzy stochastic multi-attribute group decision-making approach for selection problems","volume":"22","author":"Mousavi","year":"2013","journal-title":"Group Decision and Negotiation"},{"key":"10.3233\/IFS-162101_ref39","doi-asserted-by":"crossref","first-page":"390","DOI":"10.1016\/j.ins.2005.07.006","article-title":"Modeling the concept of majority opinion in group decision making","volume":"176","author":"Pasi","year":"2006","journal-title":"Information Sciences"},{"key":"10.3233\/IFS-162101_ref40","doi-asserted-by":"crossref","unstructured":"Pasi G. , Yager R.R. and Atanassov K.T. , Intuitionistic fuzzy graph interpretations of multi-person multi-criteria decision making: Generalized net approach, Intelligent Systems, 2004 Proceedings 2004 2nd International IEEE Conference Vol 2 IEEE 2004.","DOI":"10.1109\/IS.2004.1344787"},{"key":"10.3233\/IFS-162101_ref41","first-page":"517","author":"Pasi","year":"2008","journal-title":"Fuzzy sets in information retrieval: State of the art and research trends"},{"key":"10.3233\/IFS-162101_ref42","volume-title":"Decision Making in Manufacturing Environment Using Graph Theory and Fuzzy Multiple Attribute Decision Making Methods","author":"Rao","year":"2012"},{"key":"10.3233\/IFS-162101_ref43","doi-asserted-by":"crossref","first-page":"1400","DOI":"10.1016\/j.eswa.2012.08.048","article-title":"Interactive fuzzy random cooperative two-level linear programming through level sets based probability maximization","volume":"40","author":"Sakawa","year":"2013","journal-title":"Expert Systems with Applications"},{"key":"10.3233\/IFS-162101_ref44","doi-asserted-by":"crossref","first-page":"208","DOI":"10.1287\/mnsc.1070.0762","article-title":"Risk aversion in cumulative prospect theory","volume":"54","author":"Schmidt","year":"2008","journal-title":"Management Science"},{"key":"10.3233\/IFS-162101_ref45","doi-asserted-by":"crossref","first-page":"2139","DOI":"10.1016\/j.microrel.2006.01.007","article-title":"Using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly","volume":"46","author":"Shu","year":"2006","journal-title":"Microelectronics Reliability"},{"key":"10.3233\/IFS-162101_ref46","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1007\/BF00122574","article-title":"Advances in prospect theory: Cumulative representation of uncertainty","volume":"5","author":"Tversky","year":"1992","journal-title":"Journal of Risk and Uncertainty"},{"key":"10.3233\/IFS-162101_ref47","first-page":"1065","article-title":"Interval probability fuzzy random multi-criteria decision-making approach based on expectation-hybrid entropy","volume":"24","author":"Wang","year":"2009","journal-title":"Control and Decision"},{"key":"10.3233\/IFS-162101_ref48","first-page":"1747","article-title":"Multi-criteria group decision-making method based on intuitionistic trapezoidal fuzzy information","volume":"32","author":"Wang","year":"2012","journal-title":"Systems Engineering-Theory & Practice"},{"key":"10.3233\/IFS-162101_ref49","doi-asserted-by":"crossref","first-page":"743","DOI":"10.3233\/IFS-2012-0594","article-title":"Possibility mean and variance based method for multi-attribute decision making with triangular intuitionistic fuzzy numbers","volume":"24","author":"Wan","year":"2013","journal-title":"Journal of Intelligent and Fuzzy Systems"},{"key":"10.3233\/IFS-162101_ref50","doi-asserted-by":"crossref","unstructured":"Wang M. , Fuzzy random multi-attribute decision making method, The Fifth IEEE International Conference on Fuzzy Systems and Knowledge Discovery, 2008.","DOI":"10.1109\/FSKD.2008.123"},{"key":"10.3233\/IFS-162101_ref51","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1007\/978-3-642-10646-0_33","volume-title":"A Fuzzy Random Variable Approach to Restructuring of Rough Sets through Statistical Test, Rough Sets, Fuzzy Sets, Data Mining and Granular Computing","author":"Watada","year":"2009"},{"key":"10.3233\/IFS-162101_ref52","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1016\/j.knosys.2015.02.001","article-title":"Multi-objective dynamic layout problem for temporary construction facilities with unequal-area departments under fuzzy random environment","volume":"81","author":"Xu","year":"2015","journal-title":"Knowledge-Based Systems"},{"key":"10.3233\/IFS-162101_ref53","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1109\/3477.907562","article-title":"Determining equivalent values for possibilistic variables","volume":"31","author":"Yager","year":"2001","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics"},{"key":"10.3233\/IFS-162101_ref54","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10700-007-9021-y","article-title":"A fuzzy-stochastic OWA model for robust multi-criteria decision making","volume":"7","author":"Zarghami","year":"2008","journal-title":"Fuzzy Optimization and Decision Making"},{"key":"10.3233\/IFS-162101_ref55","unstructured":"Zhang Z. and Xu J.P. , A Mean-semivariance model for stock portfolio selection in fuzzy random environment, IEEE International Conference on Industrial Engineering and Engineering Management, 2008."},{"key":"10.3233\/IFS-162101_ref56","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/S0165-0114(99)80004-9","article-title":"Fuzzy sets as a basis for a theory of possibility","volume":"100","author":"Zadeh","year":"1999","journal-title":"Fuzzy Sets and Systems"}],"container-title":["Journal of Intelligent & Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/IFS-162101","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:40:08Z","timestamp":1777455608000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/IFS-162101"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,4,30]]},"references-count":56,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.3233\/ifs-162101","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,4,30]]}}}