Adriana Jiménez Contreras developed an interesting theory about how to measure the inconsistency between a set (a bag, in fact) of qualitative assessments. That is, contradictory statements are not always "fully contradictory," so that the AND (conjunction) of two statements may not be completely false. For instance, the contradiction between "John has a dog" and "John has a Doberman" is not full. Inconsistency does not necessarily maps to F and T, or to 0 or 1. It maps to a number between 0 (completely false) and 1 (completely true). We see her with her Ph. D. Thesis Committee, in CIC-IPN, where she obtained in 2013 her PhD. degree.
Main articles about inconsistency:
193. Adolfo Guzman-Arenas and Alma-Delia Cuevas. (2011) Clustering via centroids a bag of qualitative values and measuring its inconsistency. Chapter of the book “Quantitative Semantics and Soft Computing Methods for the Web: Perspectives and Applications”, Ramon F. Brena and Adolfo Guzman-Arenas, editors. IGI Global. Full text: clic here.
186. Adolfo Guzman-Arenas, Adriana Jimenez, (2010) Obtaining the consensus and
inconsistency among a set of assertions on a qualitative attribute. Journal Expert Systems with
Applications 37, 158-164. doi:10.1016/j.eswa.2009.05.010 ISSN: 0957-4174. Full text: click here.
189. Adolfo Guzman-Arenas, Alma-Delia Cuevas,
Adriana Jimenez. (2011) The centroid or consensus of a set
of objects with qualitative attributes. Expert Systems with Applications 38
(2011) 4908-4919. ISSN 0957-4174. Full text: click here.
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