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Based Syst."],"published-print":{"date-parts":[[2024,3]]},"abstract":"<jats:p> In uncertain information environment, bi-polar preferences can be elicited from experts and processed to be exerted over some weights determination for multiple-agents evaluation. Recently, some weighting methodologies and models in uncertain and preference involved environment with multiple opinions from multiple experts are proposed in some literature. However, in that existing method, when collecting different types of preferences from a single expert, sometimes some subtle cognitive inconsistency may occur. To eliminate such inconsistency, this work elaborately analyzes the possible reasons and proposes some amendment together with a new distinguishable set of formulations for modeling. In addition, we further consider two situations of the weighting models for the problem, with one only considering the situation of single expert with no risk of cognitive inconsistency and the other considering the case of multiple experts wherein some inconsistency might occur. Numerical example and comparison are also presented accordingly. <\/jats:p>","DOI":"10.1142\/s0218488524500107","type":"journal-article","created":{"date-parts":[[2024,4,19]],"date-time":"2024-04-19T06:34:15Z","timestamp":1713508455000},"page":"255-269","source":"Crossref","is-referenced-by-count":1,"title":["Cognitive Consistency in Uncertain and Preference Involved Weights Determination"],"prefix":"10.1142","volume":"32","author":[{"given":"Lesheng","family":"Jin","sequence":"first","affiliation":[{"name":"School of Automobile and Traffic Engineering, Hubei University of Arts and Sciences, Xiangyang, 441053, P. R. China"},{"name":"Business School, Nanjing Normal University, Nanjing, P. R. China"}]},{"given":"Ronald R.","family":"Yager","sequence":"additional","affiliation":[{"name":"Machine Intelligence Institute, Iona College New Rochelle, NY 10801, USA"}]},{"given":"Radko","family":"Mesiar","sequence":"additional","affiliation":[{"name":"Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, Sk-810 05 Bratislava, Slovakia"},{"name":"Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, CE IT4Innovations, 30. dubna 22, 701 03 Ostrava, Czech Republic"}]},{"given":"Tapan","family":"Senapati","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China"}]},{"given":"Chiranjibe","family":"Jana","sequence":"additional","affiliation":[{"name":"Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences (SIMATS), Chennai 602105, Tamil Nadu, India"}]},{"given":"Chao","family":"Ma","sequence":"additional","affiliation":[{"name":"School of Automobile and Traffic Engineering, Hubei University of Arts and Sciences, Xiangyang, 441053, P. 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