Modeling consensus using logic-based similarity measures

Verfasser / Beitragende:
[Ana Poledica, Pavle Milošević, Ivana Dragović, Bratislav Petrović, Dragan Radojević]
Ort, Verlag, Jahr:
2015
Enthalten in:
Soft Computing, 19/11(2015-11-01), 3209-3219
Format:
Artikel (online)
ID: 605470928
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024 7 0 |a 10.1007/s00500-014-1476-5  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00500-014-1476-5 
245 0 0 |a Modeling consensus using logic-based similarity measures  |h [Elektronische Daten]  |c [Ana Poledica, Pavle Milošević, Ivana Dragović, Bratislav Petrović, Dragan Radojević] 
520 3 |a 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. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Similarity  |2 nationallicence 
690 7 |a Interpolative Boolean algebra  |2 nationallicence 
690 7 |a Fuzzy bi-implication  |2 nationallicence 
690 7 |a IBA equivalence  |2 nationallicence 
690 7 |a Logic-based similarity measure  |2 nationallicence 
690 7 |a Consensus  |2 nationallicence 
700 1 |a Poledica  |D Ana  |u Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia  |4 aut 
700 1 |a Milošević  |D Pavle  |u Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia  |4 aut 
700 1 |a Dragović  |D Ivana  |u Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia  |4 aut 
700 1 |a Petrović  |D Bratislav  |u Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia  |4 aut 
700 1 |a Radojević  |D Dragan  |u Mihajlo Pupin Institute, Volgina 15, 11000, Belgrade, Serbia  |4 aut 
773 0 |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/11(2015-11-01), 3209-3219  |x 1432-7643  |q 19:11<3209  |1 2015  |2 19  |o 500 
856 4 0 |u https://doi.org/10.1007/s00500-014-1476-5  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00500-014-1476-5  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Poledica  |D Ana  |u Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Milošević  |D Pavle  |u Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Dragović  |D Ivana  |u Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Petrović  |D Bratislav  |u Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Radojević  |D Dragan  |u Mihajlo Pupin Institute, Volgina 15, 11000, Belgrade, Serbia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/11(2015-11-01), 3209-3219  |x 1432-7643  |q 19:11<3209  |1 2015  |2 19  |o 500