{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,22]],"date-time":"2025-02-22T05:26:13Z","timestamp":1740201973927,"version":"3.37.3"},"reference-count":0,"publisher":"IOS Press","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009]]},"abstract":"<jats:p>We consider here fuzzy quantities, i.e. fuzzy sets without any hypothesis about normality nor convexity. Two main topics are examined: the first one consists in defining the evaluation of a fuzzy quantity, in such a way that it may be applied both in ranking and in defuzzification problems. The definition is based on &amp;alpha;-cuts and depends on two parameters: a coefficient connected with the optimistic or pessimistic attitude of the decision maker and a weighting function similar to a density function. The second aim is showing that the proposed definition is suitable for defuzzifying the output of a fuzzy expert system: we treat a classical example discussed in [1], using several t-norms and t-conorms in aggregation procedures.<\/jats:p>","DOI":"10.3233\/978-1-58603-984-4-194","type":"book-chapter","created":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:27:05Z","timestamp":1740133625000},"source":"Crossref","is-referenced-by-count":0,"title":["Evaluation of fuzzy quantities by means of a weighting functions"],"prefix":"10.3233","author":[{"family":"Facchineti Gisella","sequence":"additional","affiliation":[]},{"family":"Pacchiarotti Nicoletta","sequence":"additional","affiliation":[]}],"member":"7437","container-title":["Frontiers in Artificial Intelligence and Applications","New Directions in Neural Networks"],"original-title":[],"deposited":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:29:18Z","timestamp":1740133758000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.medra.org\/servlet\/aliasResolver?alias=iospressISSNISBN&issn=0922-6389&volume=193&spage=194"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"references-count":0,"URL":"https:\/\/doi.org\/10.3233\/978-1-58603-984-4-194","relation":{},"ISSN":["0922-6389"],"issn-type":[{"value":"0922-6389","type":"print"}],"subject":[],"published":{"date-parts":[[2009]]}}}