. "The main goal of the project was to introduce and discuss the concepts dealing with the \u201Cextent\u201D of information, measuring the improvement of knowledge after obtaining a message. The research methods and results correspond much more to the information theory than to standard economic approaches. Still, 18 publications in journals with an impact factor confirm the relevance of the research outputs."@en . . "1"^^ . "Agregace znalost\u00ED a o\u010Dek\u00E1v\u00E1n\u00ED v matematicko-ekonomick\u00FDch modelech" . . . "0"^^ . "2011-01-01+01:00"^^ . . "0"^^ . "The input data of many economic and optimization problems are contaminated by subjective uncertainty influencing the quality of the final decisions. The classical information theory has derived tools for the analysis of that uncertainty, if it is connected with randomness. But most of the mathematical models of economy deals with the environment contaminated by another type of uncertaity, namely the vagueness, mostly connected with human factors entering the situation. Recent works characterizing the vague information sources and dealing with fuzzy set theory are closely analogous to the classical probabilistic model and they are not specifically aimed to the economic problems. Hence, the submitted project is focused on alternative approaches to the information-theoretical characteristics of vague knowledge and linguistic information sources, supported by the theory of fuzzy sets, triangular norms and namely the aggregation operators. Their formal structure will be suggested and their properties will be analyzed. The verification of the adequacy of the model to economic environment, namely to the models including knowledge and information, frequently called "the expectation", will be analyzed."@en . . "Aggregation of knowledge and expectations in the models of mathematical economics"@en . "V \u0159ad\u011B ekonomick\u00FDch a optimaliza\u010Dn\u00EDch \u00FAloh jsou vstupn\u00ED data zat\u00ED\u017Eena subjektivitou a neur\u010Ditost\u00ED, kter\u00E1 ovliv\u0148uje kvalitu rozhodov\u00E1n\u00ED. Klasick\u00E1 teorie informace poskytuje n\u00E1stroje pro anal\u00FDzu t\u00E9to neur\u010Ditosti, pokud je jej\u00EDm zdrojem n\u00E1hoda. V\u011Bt\u0161ina praktick\u00FDch ekonomicko-matematick\u00FDch model\u016F ale popisuje prost\u0159ed\u00ED, kter\u00E9 je kontaminov\u00E1no jin\u00FDm typem neur\u010Ditosti, toti\u017E v\u00E1gnost\u00ED, v\u011Bt\u0161inou zp\u016Fsobenou subjektivn\u00EDm lidsk\u00FDm faktorem vstupuj\u00EDc\u00EDm do modelovan\u00E9 situace. Dosud byly modely v\u00E1gn\u00EDch zdroj\u016F informace, pracuj\u00EDc\u00ED s fuzzy mno\u017Einami bl\u00EDzkou analogi\u00ED klasick\u00E9ho pravd\u011Bpodobbnostn\u00EDho modelu a byly m\u00E1lo zam\u011B\u0159eny na ekonomick\u00E9 prost\u0159ed\u00ED. Proto se navr\u017Een\u00FD projekt zab\u00FDv\u00E1 alternativn\u00EDmi p\u0159\u00EDstupy k informa\u010Dn\u011B-teoretick\u00FDm charakteristik\u00E1m v\u00E1gn\u00EDch znalost\u00ED a lingvistick\u00FDch zdroj\u016F informac\u00ED, op\u0159en\u00FDmi o teorii fuzzy mno\u017Ein, teorii triangul\u00E1rn\u00EDch norem a zejm\u00E9na teorii agrega\u010Dn\u00EDch oper\u00E1tor\u016F. Bude navr\u017Eena jejich form\u00E1ln\u00ED struktura a analyzov\u00E1ny jejich vlastnosti. Sou\u010D\u00E1st\u00ED projektu je ov\u011B\u0159en\u00ED p\u0159im\u011B\u0159enosti takov\u00E9ho modelu ekonomick\u00FDm probl\u00E9m\u016Fm, zejm\u00E9na zahrnut\u00ED znalost\u00ED a informac\u00ED do jejich struktury, \u010Dasto ozna\u010Dovan\u00E9 pojmem "o\u010Dek\u00E1v\u00E1n\u00ED"." . . . "optimization information entropy expectation aggregation operators fuzzy sets"@en . "GAP402/11/0378" . . "2014-07-01+02:00"^^ . . . . . . "2013-12-31+01:00"^^ . . "http://www.isvav.cz/projectDetail.do?rowId=GAP402/11/0378"^^ . . . "Z\u00E1m\u011Brem projektu byla definice a diskuse koncept\u016F, kter\u00E9 by byly schopny m\u011B\u0159it \u201Erozsah\u201C informace ve smyslu m\u00EDry zm\u011Bny znalost\u00ED po obdr\u017Een\u00ED nov\u00E9 informace. Metody i v\u00FDsledky v\u00FDzkumu souzn\u00ED sp\u00ED\u0161e s teori\u00ED informace (Shannon, 1948) ne\u017E se standardn\u00EDm ekonomick\u00FDm v\u00FDzkumem. 18 publikac\u00ED v impaktovan\u00FDch \u010Dasopisech prokazuje na druhou stranu d\u016Fle\u017Eitost v\u00FDsledk\u016F projektu."@cs . "2013-06-12+02:00"^^ . "41"^^ . . "41"^^ . . .