caa a22 4500 605470928 CHVBK 20210128100330.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s00500-014-1476-5 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1476-5 Modeling consensus using logic-based similarity measures [Elektronische Daten] [Ana Poledica, Pavle Milošević, Ivana Dragović, Bratislav Petrović, Dragan Radojević] One of the key issues when it comes to measuring similarity is the discrepancy that exists between the idealized measures and actual human perception. The aim of this paper is to explore the possibility of using logic-based similarity measures for modeling consensus. We propose a soft consensus model for calculating the consensus and proximity degrees on two different levels. The proposed model relies on logic-based similarity measures and the appropriate aggregation functions. It is a fresh approach as it includes logic when perceiving similarity. Several similarity measures based on min, product and Lukasiewicz fuzzy bi-implications are introduced for modeling consensus. We also define a measure of similarity based on interpolative Boolean algebra (IBA) equivalence, and provide its comprehensive theoretical background. In our approach, we analyze how these different logic-based measures treat similarity, and whether they are appropriate to explain the notion of consensus. Finally, we show that IBA equivalence is the only measure that is both appropriate for modeling consensus and interpretable at the same time. The proposed model is illustrated on a problem of project selection in the context of sustainable development and the numerical results are discussed. Springer-Verlag Berlin Heidelberg, 2014 Similarity nationallicence Interpolative Boolean algebra nationallicence Fuzzy bi-implication nationallicence IBA equivalence nationallicence Logic-based similarity measure nationallicence Consensus nationallicence Poledica Ana Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia aut Milošević Pavle Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia aut Dragović Ivana Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia aut Petrović Bratislav Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia aut Radojević Dragan Mihajlo Pupin Institute, Volgina 15, 11000, Belgrade, Serbia aut Soft Computing Springer Berlin Heidelberg 19/11(2015-11-01), 3209-3219 1432-7643 19:11<3209 2015 19 500 https://doi.org/10.1007/s00500-014-1476-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00500-014-1476-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Poledica Ana Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia aut NATIONALLICENCE 700 1- Milošević Pavle Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia aut NATIONALLICENCE 700 1- Dragović Ivana Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia aut NATIONALLICENCE 700 1- Petrović Bratislav Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia aut NATIONALLICENCE 700 1- Radojević Dragan Mihajlo Pupin Institute, Volgina 15, 11000, Belgrade, Serbia aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/11(2015-11-01), 3209-3219 1432-7643 19:11<3209 2015 19 500