Probability-Like Functionals and Fuzzy Logic
نویسندگان
چکیده
منابع مشابه
Fuzzy logic and probability
In this paper we deal with a new approach to probabilistic reasoning in a logical frame work. Nearly almost all logics of probabil ity that have been proposed in the litera ture are based on classical two-valued logic. After making clear the differences between fuzzy logic and probability theory, here we propose a fuzzy logic of probability for which completeness results (in a probabilistic ...
متن کاملProbability, Modal Logic and Fuzzy Logic
Fuzziness is often regarded as a special form of uncertainty, possibly related to probability but not necessarily reducible to the latter. Indeed, all the mathematical techniques that have been proposed to model fuzziness are substantially different from probabilistic methods, albeit sometimes loosely similar. As shown in this paper, a particular form of fuzzy logic can be derived from probabil...
متن کاملProbability and Fuzzy Logic in Analogical Reasoning
Analogical Reasoning (AR) is a method of processing information that compares the similarities between new and past understood concepts, then using these similarities to gain understanding of the new concept. In this work we develop two mathematical models for the description of the process of AR: A stochastic model by introducing a finite ergodic Markov chain on the steps of the AR process and...
متن کاملProbability Logic and Logical Probability
Many writers who entertain the use of subjective probability or credal probability for, among other things, the evaluation of expected values of options in decision problems insist that such credal probability judgments should be determined by the agent’s “available evidence” or “available knowledge”. Notable 20 century examples are H. Jeffreys (1921, 1951), J.M. Keynes (1921), R. Carnap (1950,...
متن کاملA logic for reasoning about the probability of fuzzy events
In this paper we present the logic FP (! Ln, ! L) which allows to reason about the probability of fuzzy events formalized by means of the notion of state in a MValgebra. This logic is defined starting from a basic idea exposed by Hájek in [13]. Two kinds of semantics have been introduced, namely the class of weak and strong probabilistic models. The main result of this paper is a completeness t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1997
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5659