Foundations of Physics 30 (10):1663-1678 (2000)
AbstractThe article begins with a discussion of sets and fuzzy sets. It is observed that identifying a set with its indicator function makes it clear that a fuzzy set is a direct and natural generalization of a set. Making this identification also provides simplified proofs of various relationships between sets. Connectives for fuzzy sets that generalize those for sets are defined. The fundamentals of ordinary probability theory are reviewed and these ideas are used to motivate fuzzy probability theory. Observables (fuzzy random variables) and their distributions are defined. Some applications of fuzzy probability theory to quantum mechanics and computer science are briefly considered
Similar books and articles
Fuzzy sets in the theory of measurement of incompatible observables.E. Prugovečki - 1974 - Foundations of Physics 4 (1):9-18.
Fuzzy Sets as a Basis for a Theory of Probability.Lofti A. Zadeh - 1978 - Fuzzy Sets and Systems 1:3-28.
Some guidelines for fuzzy sets application in legal reasoning.Jacky Legrand - 1999 - Artificial Intelligence and Law 7 (2-3):235-257.
Measurement in quantum mechanics as a stochastic process on spaces of fuzzy events.Eduard Prugovečki - 1975 - Foundations of Physics 5 (4):557-571.
Probability, vague statements and fuzzy sets.A. I. Dale - 1980 - Philosophy of Science 47 (1):38-55.
Fuzzy amplitude densities and stochastic quantum mechanics.Stanley Gudder - 1989 - Foundations of Physics 19 (3):293-317.
A type of fuzzy ring.Hacı Aktaş & Naim Çağman - 2007 - Archive for Mathematical Logic 46 (3-4):165-177.
Fuzzy Logic and Applications: 5th International Workshop, Wilf 2003, Naples, Italy, October 9-11, 2003: Revised Selected Papers. [REVIEW]V. Di Gesù, F. Masulli & Alfredo Petrosino (eds.) - 2006 - Springer.
GENERAL SYSTEM THEORY, LIKEQUANTUM SEMANTICS AND FUZZY SETS.Ignazio Licata - 2006 - In G. Minati (ed.), Systemics of Emergence. Research and Developement. Springer.
An Introduction to Fuzzy Logic for Practical Applications.Kazuo Tanaka - 1996 - Springer.
Added to PP
Historical graph of downloads