Abstract
In the field of pattern recognition or decision making theory, the following complicated problems have been left unsolved: (1)ambiguity of objects, (2)variety of character, (3)subjectivity of observers, (4)evolution of knowledge or learning. With regard to each problem, however, there are several general theories: many-valued logic, fuzzy set theory (in connection with (1)and(2)), modal logic (in conjunction with (2)and(4)), and subjective probability (in relation to (3)). It seems, however, that there are few carefully thought-out investigations by paying attention to all problems mentioned above. In this paper we would like to give our opinion about these problems and to introduce a new concept called ‘probabilistic sets’.
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© 1992 Springer Science+Business Media New York
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Hirota, K. (1992). Probabilistic Sets Probabilistic Extension of Fuzzy Sets. In: Yager, R.R., Zadeh, L.A. (eds) An Introduction to Fuzzy Logic Applications in Intelligent Systems. The Springer International Series in Engineering and Computer Science, vol 165. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3640-6_16
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DOI: https://doi.org/10.1007/978-1-4615-3640-6_16
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