Probabilistic Fuzzy Reasoning in a Coherent Setting
نویسندگان
چکیده
We use the interpretation of fuzzy sets in terms of coherent conditional probabilities for handling probabilistic fuzzy IF-THEN rules. We show by some examples how this interpretation can help when fuzzy and statistical information need to be combined and the available probabilistic information on the fuzzy events is possibly imprecise or incomplete.
منابع مشابه
Coherent Conditional Probability in a Fuzzy Logic Setting
Very recently, a (fuzzy modal) logic to reason about coherent conditional probability, in the sense of de Finetti, has been introduced by the authors. Under this approach, a conditional probability ð j Þ is taken as a primitive notion defined over conditional events of the form ‘‘’ given ’’, ’j for short, where is not the impossible event. The logic, called FCP(L ), exploits an idea already use...
متن کاملA Probabilistic Characterization of Fuzzy Set Membership, with Application to Mixed Fuzzy-Probabilistic Inference
A simple probabilistic grounding of the ”fuzzy set membership degree” is presented, and used to provide definitions of the absolute and conditional probabilities of fuzzy sets. Among other possible applications, this allows fuzzy membership values to be coherently incorporated into probabilistic reasoning processes.
متن کاملCorrespondence between probabilistic norms and fuzzy norms
In this paper, the connection between Menger probabilistic norms and H"{o}hle probabilistic norms is discussed. In addition, the correspondence between probabilistic norms and Wu-Fang fuzzy (semi-) norms is established. It is shown that a probabilistic norm (with triangular norm $min$) can generate a Wu-Fang fuzzy semi-norm and conversely, a Wu-Fang fuzzy norm can generate a probabilistic norm.
متن کاملFunction Approximation Using Probabilistic Fuzzy Systems
We consider function approximation by fuzzy systems. Fuzzy systems are typically used for approximating deterministic functions, in which the stochastic uncertainty is ignored. We propose probabilistic fuzzy systems in which the probabilistic nature of uncertainty is taken into account. Furthermore, these systems take also fuzzy uncertainty into account by their fuzzy partitioning of input and ...
متن کاملInheritance and Recognition in Uncertain and Fuzzy Object-Oriented Models
This paper proposes probabilistic default reasoning as a suitable approach to inheritance and recognition in uncertain and fuzzy object-oriented models. Firstly, we introduce an uncertain and fuzzy object-oriented model where a class property (i.e., an attribute or a method) can contain fuzzy sets interpreted as families of probability distributions, and uncertain class membership and property ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2013