On the equivalence of Fechner’s and Stevens’ laws

Abstract

On the basis of the method of subjective measurement, the equivalence of Fechner’s and Stevens’ laws is proved. We consider the classical version of the method of subjective measurement, which axiomatically determined the sequence of objects, the value of which varies uniformly. The number of an element in this sequence is called a rating. It is believed that as a result of a subjective measurement, only a rating can be found. There are two main ways to compare values – absolute and relative. By defining a rating, you can find values using a comparison method. It is shown that the difference between the both laws is a consequence of different methods of comparison, therefore, when replacing the value with the rating, these laws, coincide.

Author Biography

Vasily M. Romanchak, Belarusian National Technical University, 65 Niezaliežnasci Avenue, Minsk 220013, Belarus

PhD (physics and mathematics), docent; associate professor at the department of еngineering mathematics, faculty of engineering and physics

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Published
2019-10-17
Keywords: expert assessments, rating, Fechner's law, Stevens ' law, utility function, decision making
How to Cite
Romanchak, V. M. (2019). On the equivalence of Fechner’s and Stevens’ laws. Journal of the Belarusian State University. Philosophy and Psychology, 3, 97-102. Retrieved from https://journals.bsu.by/index.php/philosophy/article/view/2114
Issue
No 3 (2019): Journal of the Belarusian State University. Philosophy and Psychology
Section
Psychological Researches

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