1,720,967 research outputs found
Measures of general information with the membership functions
No full textBy axiomatic way, we propose a new measure of general information of any fuzzy sets by using its membership function. Therefore, we introduce maesures of general conditional information. We translate the properties of this conditional information in a system of functional equations and we show some classes of solutions
Reliability of general informations
No full textBy axiomatic way, we define a measure of reliability of general information on crisp and fuzzy setting.Then, we give a form of the measure of reliability for the conditional information
Fuzzy measures: collectors of entropies
No full textIn the fuzzy setting, we define a collector of entropies, which allows us to consider the reliability of observers. This leads to a system of functional equations. We are able to find the general solution of the system or collectors, which are compatible with a law of the kind "Inf". Finally, we give a class of solutions for a collector for which we don't take into account a law of compositivity for entropies
General conditional information with an aim
No full textThe goal of this paper is to continue the investigation on general aimed infromation started in 2011.We introduce, by axiomatic way, general conditional information with an aim. Our sudy is a generalization of previuos results concerning geneal conditonal and aimed informatio
Divergence and fuzziness measures
No full textIn axiomatic way, a divergence among fuzzy sets is introduced which extends the symmetric difference among crisp sets. Any fuzzy measure of the divergence between toe fuzzy sets weights their "distance." The distance between a fuzzy set and the family of crisp sets is a fuzziness measure
A general information for fuzzy sets
No full textIn this paper we introduce a general definition of an information measure for fuzzy sets and we study its main properties. Then we describe a procedure to extend any information measure from \sigma-algebra of ordinary sets to the \sigma algebra of fuzzy sets of the same spac
Finalized entropy for fuzzy questionnaires
No full textThe research about the axioms of fuzzy partiions leads to the notion of quetionnaires. By using the algabras associated to the questionnaries, it is possible to give an axiomatization of thei entropy.We study the properties of thia entrop
Multiplication, distributivity and fuzzy-integral. I
Full text linksummary:The main purpose is the introduction of an integral which covers most of the recent integrals which use fuzzy measures instead of measures. Before we give our framework for a fuzzy integral we motivate and present in a first part structure- and representation theorems for generalized additions and generalized multiplications which are connected by a strong and a weak distributivity law, respectively
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