{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T06:59:12Z","timestamp":1769842752251,"version":"3.49.0"},"reference-count":45,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Info. Tech. Dec. Mak."],"published-print":{"date-parts":[[2020,1]]},"abstract":"<jats:p> This paper introduces a novel approach to support decision-making by combining the Weighted Influence Nonlinear Gauge System (WINGS) method with interval arithmetic. This approach allows to include uncertain judgments and\/or different opinions in a\u00a0decision process. Our research aims at increasing the ability of WINGS to model decisions in situations of uncertainty and at extending the reach of its practical applications. The new, relatively simple and transparent method can become a useful and practical tool for the decision makers. Mathematical correctness of the proposed methodology is proven. <\/jats:p><jats:p> Based on the new method, a procedure for solving a complex decision problem is created. Its applicability is illustrated by two case studies. Choosing the best option for the organization\u2019s competitive position in a health-care organization shows how the proposed method works with uncertain judgments. Its usefulness for group decision-making is illustrated by applying it to a decision concerning allocation of public funds for sport development in a small commune. <\/jats:p>","DOI":"10.1142\/s0219622019500494","type":"journal-article","created":{"date-parts":[[2019,12,10]],"date-time":"2019-12-10T03:54:38Z","timestamp":1575950078000},"page":"221-240","source":"Crossref","is-referenced-by-count":12,"title":["Modeling Uncertainty in the Wings Method Using Interval Arithmetic"],"prefix":"10.1142","volume":"19","author":[{"given":"Jerzy","family":"Michnik","sequence":"first","affiliation":[{"name":"Department of Operational Research, University of Economics in Katowice, Poland"}]},{"given":"Artur","family":"Grabowski","sequence":"additional","affiliation":[{"name":"Department of Economics, University of Economics in Katowice, Poland"}]}],"member":"219","published-online":{"date-parts":[[2020,1,24]]},"reference":[{"key":"S0219622019500494BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2013.02.007"},{"key":"S0219622019500494BIB002","volume-title":"Theory and Applications of the Analytic Network Process, Decision Making with Benefits, Opportunities, Costs and Risks","author":"Saaty T. L.","year":"2005"},{"key":"S0219622019500494BIB003","volume-title":"Societal systems: Planning, policy and complexity","author":"Warfield J. N.","year":"1976","edition":"1"},{"key":"S0219622019500494BIB006","volume-title":"From Anticipation to Action: A Handbook of Strategic Prospective","author":"Godet M.","year":"1994"},{"key":"S0219622019500494BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2016.09.047"},{"key":"S0219622019500494BIB008","first-page":"350","volume-title":"7th Int. Scientific Conf. Managing and Modelling of Financial Risks Proceedings","author":"Kashi K.","year":"2014"},{"key":"S0219622019500494BIB009","first-page":"105","volume-title":"Multiple Criteria Decision Making","volume":"10","author":"Michnik J.","year":"2015"},{"key":"S0219622019500494BIB010","first-page":"205","volume-title":"Studia Ekonomiczne \u2014 Zeszyty Naukowe","author":"Michnik J.","year":"2014"},{"key":"S0219622019500494BIB011","first-page":"391","volume-title":"IDIMT 2015: Information Technology and Society \u2014 Interaction and Interdependence \u2014 23rd Interdisciplinary Information Management Talks","author":"Pechov\u00e1 H.","year":"2015"},{"key":"S0219622019500494BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.culher.2017.02.008"},{"key":"S0219622019500494BIB015","doi-asserted-by":"publisher","DOI":"10.1504\/IJAMS.2018.092077"},{"key":"S0219622019500494BIB016","doi-asserted-by":"publisher","DOI":"10.1007\/0-387-23081-5_11"},{"key":"S0219622019500494BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2012.04.038"},{"key":"S0219622019500494BIB018","doi-asserted-by":"publisher","DOI":"10.1142\/S021962201830001X"},{"key":"S0219622019500494BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2012.12.009"},{"key":"S0219622019500494BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2015.02.002"},{"key":"S0219622019500494BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2003.09.002"},{"key":"S0219622019500494BIB022","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-4429-6_4"},{"key":"S0219622019500494BIB023","doi-asserted-by":"publisher","DOI":"10.13033\/ijahp.v8i2.325"},{"key":"S0219622019500494BIB024","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2005.12.005"},{"key":"S0219622019500494BIB025","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2006.08.012"},{"key":"S0219622019500494BIB026","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2010.07.114"},{"key":"S0219622019500494BIB027","doi-asserted-by":"publisher","DOI":"10.1511\/2003.6.484"},{"key":"S0219622019500494BIB028","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(00)00342-3"},{"key":"S0219622019500494BIB029","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-0249-6"},{"key":"S0219622019500494BIB030","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-018-3501-6"},{"key":"S0219622019500494BIB031","first-page":"74","volume":"6","author":"Mohaghar A.","year":"2013","journal-title":"New York Science Journal"},{"key":"S0219622019500494BIB032","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2010.07.014"},{"key":"S0219622019500494BIB033","doi-asserted-by":"publisher","DOI":"10.1142\/S0219622016500450"},{"key":"S0219622019500494BIB034","doi-asserted-by":"publisher","DOI":"10.1142\/S021962201750033X"},{"key":"S0219622019500494BIB035","doi-asserted-by":"publisher","DOI":"10.1142\/S0219622008002867"},{"key":"S0219622019500494BIB036","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2017.09.014"},{"key":"S0219622019500494BIB037","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139174084"},{"key":"S0219622019500494BIB038","volume-title":"Introduction to Probability","author":"Grinstead C.","year":"2006"},{"key":"S0219622019500494BIB039","doi-asserted-by":"publisher","DOI":"10.1016\/j.technovation.2007.04.002"},{"key":"S0219622019500494BIB040","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2006.06.008"},{"key":"S0219622019500494BIB041","doi-asserted-by":"publisher","DOI":"10.1186\/s40854-016-0027-8"},{"key":"S0219622019500494BIB042","doi-asserted-by":"publisher","DOI":"10.4324\/9781315687827"},{"key":"S0219622019500494BIB043","volume-title":"The Economics of Sports","author":"Leeds M. A.","year":"2013","edition":"5"},{"key":"S0219622019500494BIB044","doi-asserted-by":"publisher","DOI":"10.1177\/152700250000100304"},{"key":"S0219622019500494BIB045","doi-asserted-by":"publisher","DOI":"10.4337\/9780857930385"},{"key":"S0219622019500494BIB046","volume-title":"Management of Sports Development","author":"Girginov V.","year":"2008","edition":"1"},{"key":"S0219622019500494BIB047","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-63907-9_18"},{"key":"S0219622019500494BIB048","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2016.2627050"},{"key":"S0219622019500494BIB049","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2019.03.009"}],"container-title":["International Journal of Information Technology &amp; Decision Making"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219622019500494","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,3,26]],"date-time":"2020-03-26T08:01:01Z","timestamp":1585209661000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219622019500494"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1]]},"references-count":45,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2020,1]]}},"alternative-id":["10.1142\/S0219622019500494"],"URL":"https:\/\/doi.org\/10.1142\/s0219622019500494","relation":{},"ISSN":["0219-6220","1793-6845"],"issn-type":[{"value":"0219-6220","type":"print"},{"value":"1793-6845","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,1]]}}}