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The concept of conditional fuzzy measure
Author(s) -
de Campos Luis M.,
Lamata María T.,
Moral Serafín
Publication year - 1990
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.4550050302
Subject(s) - measure (data warehouse) , generalization , fuzzy measure theory , dempster–shafer theory , mathematics , fuzzy logic , fuzzy set , set (abstract data type) , probability measure , artificial intelligence , conditional probability , computer science , fuzzy number , data mining , discrete mathematics , statistics , mathematical analysis , programming language
In this article a concept of conditional fuzzy measure is presented, which is a generalization of conditional probability measure. Its properties are studied in the general case and in some particular types of fuzzy measures as representable measures, capacities of order two, and belief‐plausibility measures. In the case of capacities of order two it coincides with the concept given by Dempster for representable measures. However, it differs from the Dempster's rule for conditioning belief‐plausibility measures. As it is shown, Dempster's rule of conditioning is based on the idea of combining information and our definition is based on a restriction in the set of possible worlds.