In behavioural research, Shalom Schwartz's Theory of Basic Human Values has been used, tested and refined since the 1980s. Various measurement instruments have been proposed, tested, and refined over the years.
Please go through my articles and updations in a new branch in Mathematics called Soul Analysis . (See my project). Using a fuzzy measure Equation of judgment , I wrote articles, but more fuzzy measures are possible on Algebra of Soul Space.
Using those I developed Statistical Soul Process Control and experimented that and I received better output.
Given that Shalom Schwartz's Theory of Basic Human Values has been used, tested and refined since the 1980s, there are many sources. One place to begin is an overview written by Shalom Schwartz:
Schwartz, S. H. (2012). An overview of the Schwartz Theory of Basic Values. Online Readings in Psychology and Culture, 2(1). https://doi.org/10.9707/2307-0919.1116
1. Mathematical measures will be defined on algebra of a space.In which space and on what type of algebra Shalom Schwartz defined his measures on human values?
I suggest you contact Shalom Schwartz as he is best placed to answer such questions.
Schwartz is a fellow of the American Psychological Foundation and a member of the American Sociological Foundation, European Association of Experimental Social Psychology, the Israel Psychological Association, the Society for Experimental Social Psychology, and the Society for Personality and Social Psychology. He is president of the International Association for Cross-Cultural Psychology. He coordinates an international project in more than 70 countries that studies the antecedents and consequences of individual differences in value priorities and the relations of cultural dimensions of values to societal characteristics and policies. His value theory and instruments are part of the ongoing, biannual European Social Survey. https://en.wikipedia.org/wiki/Shalom_H._Schwartz
Shalom Schwartz has a profile on ResearchGate so you can contact him via that; see: Shalom H Schwartz
Otherwise, his email address is on his University website; see
https://en.psychology.huji.ac.il/SchwartzShalomH.
If you have not already familiarised yourself with his Theory of Basic Human Values, then it would probably be wise to do so before contacting him. You might even find information relevant to your questions.
So far Shalom Schwartz could not answer the following questions
1. Mathematical measures will be defined on algebra of a space.In which space and on what type of algebra Shalom Schwartz defined his measures on human values?