A formalization of the theory of expertons. Theoretical foundations, properties and development of software for its calculation

Abstract

The aim of this article is to present in a formal way the concept of the experton, which is commonly used in practice, and use this formalization to justify its properties and the equivalence between the concept of mathematical expectation of an experton and the expectation of expressed opinions. The work will clarify the relationship of the experton with certain probabilistic fuzzy sets and we have opted to define it as a phi-fuzzy set which meets certain requirements. Finally, the formalization carried out allows for software to be developed that enables an experton to be calculated using an evaluation table.