About One Representation-Interpreter of a Monotone Measure

Gia Sirbiladze; Bidzina Midodashvili; Levan Midodashvili; David Siprashvili

doi:10.47852/bonviewJCCE2022010103

Authors

Gia Sirbiladze Department of Computer Sciences, Ivane Javakhishvili Tbilisi State University, Georgia
Bidzina Midodashvili Department of Computer Sciences, Ivane Javakhishvili Tbilisi State University, Georgia
Levan Midodashvili Faculty of Exact and Natural Sciences, Gori State Teaching University, Georgia
David Siprashvili Department of Computer Sciences, Ivane Javakhishvili Tbilisi State University, Georgia

DOI:

https://doi.org/10.47852/bonviewJCCE2022010103

Keywords:

fuzzy measure, classical measure, fuzzy measure representation–interpreter, Choquet integral, second-order capacity

Abstract

We consider the problem of presenting a nonclassical measure (nonadditive, but monotonous), so-called fuzzy (monotone) measure, by a classical measure, particularly by the Murofushi–Sugeno-type new representation-interpreter. The theorems on the universal interpreter of a monotone (fuzzy) measure in the Choquet integral environment and second-order dual capacities are considered.

Received: 1 October 2021 | Revised: 20 October 2021 | Accepted: 11 November 2021

Conflicts of Interest

The authors declare that they have no conflicts of interest to this work.