{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T17:41:38Z","timestamp":1769881298800,"version":"3.49.0"},"reference-count":29,"publisher":"SAGE Publications","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2022,3,4]]},"abstract":"<jats:p>The recently proposed basic uncertain information can directly present numerical uncertainties for given real values, but it cannot handle given interval values which themselves also have uncertainties. Against this background, this work proposes the concept of interval basic uncertain information which serves as a generalization of basic uncertain information and involves two types of uncertainties. We analyze some basic operations, weighted arithmetic mean and preference transformation for interval basic uncertain information. The Rule-based decisions and the comprehensive certainty of interval basic uncertain information are also discussed. An illustrative example of multi-source multi-criteria evaluation under interval basic uncertain information environment is presented.<\/jats:p>","DOI":"10.3233\/jifs-211635","type":"journal-article","created":{"date-parts":[[2021,12,24]],"date-time":"2021-12-24T10:26:48Z","timestamp":1640341608000},"page":"3551-3558","source":"Crossref","is-referenced-by-count":12,"title":["Interval basic uncertain information and related aggregations in decision making"],"prefix":"10.1177","volume":"42","author":[{"given":"LeSheng","family":"Jin","sequence":"first","affiliation":[{"name":"Business School, Nanjing Normal University, Nanjing, China"}]},{"given":"Radko","family":"Mesiar","sequence":"additional","affiliation":[{"name":"Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, Sk-810 05 Bratislava, Slovakia"}]},{"given":"Ronald","family":"Yager","sequence":"additional","affiliation":[{"name":"Machine Intelligence Institute, Iona College, New Rochelle, NY, USA"}]},{"given":"Sema Kayapinar","family":"Kaya","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering, Munzur University, Tunceli, Turkey"}]}],"member":"179","reference":[{"issue":"1","key":"10.3233\/JIFS-211635_ref1","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","article-title":"Intuitionistic fuzzy sets","volume":"20","author":"Atanassov","year":"1986","journal-title":"Fuzzy Sets Syst"},{"issue":"3","key":"10.3233\/JIFS-211635_ref2","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/0165-0114(89)90205-4","article-title":"Interval valued intuitionistic fuzzy sets","volume":"31","author":"Atanassov","year":"1989","journal-title":"Fuzzy Sets Syst"},{"issue":"2","key":"10.3233\/JIFS-211635_ref3","doi-asserted-by":"crossref","first-page":"610","DOI":"10.1109\/21.229476","article-title":"Vague sets","volume":"23","author":"Gau","year":"1993","journal-title":"IEEE Trans. Syst. Man Cybern"},{"key":"10.3233\/JIFS-211635_ref4","first-page":"529","article-title":"Hesitant fuzzy sets","volume":"25","author":"Torra","year":"2010","journal-title":"Int. J. Intell. Syst."},{"issue":"4","key":"10.3233\/JIFS-211635_ref5","doi-asserted-by":"crossref","first-page":"759","DOI":"10.1002\/int.21961","article-title":"Certainty Aggregation and the Certainty Fuzzy Measures","volume":"33","author":"Jin","year":"2018","journal-title":"Int. J. Intell. Syst."},{"issue":"4","key":"10.3233\/JIFS-211635_ref6","doi-asserted-by":"crossref","first-page":"2475","DOI":"10.1109\/TFUZZ.2017.2756828","article-title":"Aggregation under uncertainty","volume":"26","author":"Mesiar","year":"2018","journal-title":"IEEE Trans. Fuzzy Syst"},{"key":"10.3233\/JIFS-211635_ref7","doi-asserted-by":"crossref","first-page":"103871","DOI":"10.1016\/j.engappai.2020.103871","article-title":"Basic uncertain information soft set and its application to multi-criteria group decision making","volume":"95","author":"Tao","year":"2020","journal-title":"Engineering Applications of Artificial Intelligence"},{"key":"10.3233\/JIFS-211635_ref8","doi-asserted-by":"crossref","first-page":"783","DOI":"10.1016\/j.engappai.2019.08.006","article-title":"Sustainable building material selection: A QFD- and ELECTRE III-embedded hybrid MCGDM approach with consensus building","volume":"85","author":"Chen","year":"2019","journal-title":"Engineering Applications of Artificial Intelligence"},{"key":"10.3233\/JIFS-211635_ref9","doi-asserted-by":"crossref","first-page":"78803","DOI":"10.1109\/ACCESS.2018.2885342","article-title":"Individual Semantics Building for HFLTS Possibility Distribution With Applications in Domain-Specific Collaborative Decision Making","volume":"6","author":"Chen","year":"2018","journal-title":"IEEE Access"},{"key":"10.3233\/JIFS-211635_ref10","doi-asserted-by":"crossref","first-page":"6291","DOI":"10.1007\/s00500-017-2970-3","article-title":"Event-based transformations of capacities and invariantness","volume":"22","author":"Borkotokey","year":"2018","journal-title":"Soft Computing"},{"issue":"3","key":"10.3233\/JIFS-211635_ref11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.3233\/JIFS-190344","article-title":"Rank aggregation based multi-attribute decision making with hybrid Z-information and its application","volume":"37","author":"Tao","year":"2019","journal-title":"Journal of Intelligent and Fuzzy Systems"},{"issue":"10","key":"10.3233\/JIFS-211635_ref12","doi-asserted-by":"crossref","first-page":"2676","DOI":"10.1002\/int.22171","article-title":"An interval-valued exceedance method in MCDM with uncertain satisfactions","volume":"34","author":"Liu","year":"2019","journal-title":"International Journal of Intelligent Systems"},{"issue":"15","key":"10.3233\/JIFS-211635_ref13","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/j.eswa.2018.03.013","article-title":"Two-stage Aggregation Paradigm for HFLTS Possibility Distributions: A Hierarchical Clustering Perspective","volume":"104","author":"Chen","year":"2018","journal-title":"Expert Systems with Applications"},{"key":"10.3233\/JIFS-211635_ref14","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1016\/j.apm.2019.02.042","article-title":"An enhanced ordered weighted averaging operators generation algorithm with applications for multicriteria decision making","volume":"71","author":"Chen","year":"2019","journal-title":"Applied Mathematical Modelling"},{"key":"10.3233\/JIFS-211635_ref15","doi-asserted-by":"crossref","first-page":"103578","DOI":"10.1016\/j.autcon.2021.103578","article-title":"Expertise-based bid evaluation for construction-contractor selection with generalized comparative linguistic ELECTRE III","volume":"125","author":"Chen","year":"2021","journal-title":"Automation in Construction"},{"key":"10.3233\/JIFS-211635_ref16","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1016\/j.inffus.2020.11.010","article-title":"Online-review analysis based large-scale group decision-making for determining passenger demands and evaluating passenger satisfaction: Case study of high-speed rail system in China","volume":"69","author":"Chen","year":"2021","journal-title":"Information Fusion"},{"key":"10.3233\/JIFS-211635_ref17","doi-asserted-by":"crossref","unstructured":"Grabisch M. , Marichal J.L. , Mesiar R. and Pap E. , Aggregation Functions, Cambridge University Press (2009), Cambridge, ISBN:1107013429.","DOI":"10.1017\/CBO9781139644150"},{"key":"10.3233\/JIFS-211635_ref18","doi-asserted-by":"crossref","unstructured":"Klement E.P. , Mesiar R. and Pap E. , Triangular norms, Springer-Verlag, Kluwer, Dordrecht, (2000).","DOI":"10.1007\/978-94-015-9540-7"},{"issue":"3","key":"10.3233\/JIFS-211635_ref19","doi-asserted-by":"publisher","first-page":"79","DOI":"10.3390\/axioms9030079","article-title":"Anti-Intuitionistic Fuzzy Soft a-Ideals Applied to BCI-Algebras","volume":"9","author":"Muhiuddin","year":"2020","journal-title":"Axioms"},{"issue":"1","key":"10.3233\/JIFS-211635_ref20","doi-asserted-by":"publisher","first-page":"64","DOI":"10.4018\/IJFSA.2021010104","article-title":"Generalized Entropy and Similarity Measure for Interval-Valued Intuitionistic Fuzzy Sets With Application in Decision Making","volume":"10","author":"Tiwari","year":"2021","journal-title":"International Journal of Fuzzy System Applications (IJFSA)"},{"key":"10.3233\/JIFS-211635_ref21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ijar.2019.09.005","article-title":"General form of Chebyshev type inequality for generalized Sugeno integral","volume":"115","author":"Boczek","year":"2019","journal-title":"International Journal of Approximate Reasoning"},{"key":"10.3233\/JIFS-211635_ref22","doi-asserted-by":"crossref","first-page":"346","DOI":"10.1016\/j.ejor.2020.07.057","article-title":"New monotone measure-based integrals inspired by scientific impact problem","volume":"290","author":"Boczek","year":"2021","journal-title":"European Journal of Operational Research"},{"issue":"2","key":"10.3233\/JIFS-211635_ref23","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/0165-0114(94)00343-6","article-title":"Correlation of interval-valued intuitionistic fuzzy sets","volume":"74","author":"Bustince","year":"1995","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-211635_ref24","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1109\/TSMC.1973.5408575","article-title":"Outline of a New Approach to Analysis of Complex Systems and Decision Processes","volume":"1","author":"Zadeh","year":"1973","journal-title":"IEEE Transactions on Systems, Man and Cybernetics"},{"key":"10.3233\/JIFS-211635_ref25","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1109\/TSMC.1985.6313399","article-title":"Fuzzy identification of systems and its application to modeling and control","volume":"15","author":"Takagi","year":"1985","journal-title":"IEEE Trans. on Syst., Man & Cybernetics"},{"issue":"1\u20133","key":"10.3233\/JIFS-211635_ref26","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/S0165-0114(83)80114-6","article-title":"Fuzzy relational equations with generalized connectives and their applications","volume":"10","author":"Pedrycz","year":"1983","journal-title":"Fuzzy Sets and Systems"},{"issue":"1","key":"10.3233\/JIFS-211635_ref27","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1109\/21.87068","article-title":"On ordered weighted averaging aggregation operators in multicriteria decision making","volume":"18","author":"Yager","year":"1988","journal-title":"IEEE Trans. Syst. Man Cybern."},{"key":"10.3233\/JIFS-211635_ref28","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1002\/(SICI)1098-111X(199601)11:1<49::AID-INT3>3.0.CO;2-Z","article-title":"Quantifier guided aggregation using OWA operators","volume":"11","author":"Yager","year":"1996","journal-title":"Int J Intell Syst"},{"issue":"2","key":"10.3233\/JIFS-211635_ref29","first-page":"37","article-title":"Decision making under interval (and more general) uncertainty: monetary vs. utility approaches","volume":"22","author":"Kreinovich","year":"2017","journal-title":"Journal of Computational Technologies"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-211635","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T14:59:43Z","timestamp":1769785183000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-211635"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,3,4]]},"references-count":29,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.3233\/jifs-211635","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,3,4]]}}}