On the functional forms in a psychophysical law of similarity under a subtractive representation

DOI10.1016/J.JMP.2020.102421zbMath1455.91191OpenAlexW3038569375MaRDI QIDQ826900

Yung-Fong Hsu, Christopher W. Doble

Publication date: 6 January 2021

Published in: Journal of Mathematical Psychology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmp.2020.102421

zbMATH Keywords

similarityfunctional equationspsychophysical modeling

Mathematics Subject Classification ID

Psychophysics and psychophysiology; perception (91E30)

Cites Work

• Unnamed Item
• Unnamed Item
• Conditions under which affine representations are also Fechnerian under the power law of similarity on the Weber sensitivities
• The parameters in the near-miss-to-Weber's law
• Affine representations in psychophysics and the near-miss to Weber's law
• On the functional equation \(f(\lambda (x)+g(y))=\mu (x)+h(x+y)\)
• On the functional form of partial masking functions in psychoacoustics
• Uniqueness theorems for the representation \(\varphi(f(x)g(y)+h(y))\)
• Consistency of monomial and difference representations of functions arising from empirical phenomena
• On the interpretation of the exponent in the ``Near-miss-to-Weber's law
• Compatibility of gain control and power law representations --- a János Aczél connection
• Analytical methods in the theory of psychophysical discrimination. I: inequalities, convexity and integration of just noticeable differences
• Analytical methods in the theory of psychophysical discrimination. II: the near-miss to Weber's law, Falmagne's law, the psychophysical power law and the law of similarity
• Integration of just-noticeable differences
• Über die stochastische Fundierung des psychophysischen Gesetzes
• Extension of a generalized Pexider equation

This page was built for publication: On the functional forms in a psychophysical law of similarity under a subtractive representation