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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 25 | Number 1 | Year 2015 | Article Id. IJMTT-V25P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V25P506

Some results on confirmation measures


Dr. U. N. Singh
Abstract

Our expectations for the future are influenced by our past experiences. A person always wants to confirm his proposition on the basis of some given facts. The process for making a proposition confirmed can be dealt with the confirmation measures. Because of the random elements in the data, confirmation measure depends mainly on the logic of probability. This paper is an attempt to study confirmation measures and probability measures and also to establish their relationship. Where it was observed that degree of confirmation can be expressed in terms of probability distribution functions.

Keywords
Confirmation measure, probability measure, degree of confirmation
References

1. Hampel; C.G. and Oppenheim: “A definition of degree of confirmation” Philosophy of Science, 12 (1965)
2. Holmos; P.R.: “Measure theory” D. Van Nostrand Co. Inc. Princeton 1956
3. Lehman; R.S.: “On Confirmation and Rational betting” Journal of Symbolic logic, 1955
4. George J. Klir & Tina A. Folger; “Fuzzy sets, uncertainty and information” Prentice-Hall, Englewood Cliffs (USA)
5. Kolmogorov, A.N.: “Foundation of theory of probability” Mac-Millan & Co., London (1956)

Citation :

Dr. U. N. Singh, "Some results on confirmation measures," International Journal of Mathematics Trends and Technology (IJMTT), vol. 25, no. 1, pp. 32-34, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V25P506

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