About One Representation-Interpreter of a Monotone Measure

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.


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Published

2021-12-14

Issue

Vol. 1 No. 2 (2022)

Section

Research Articles

License

Copyright (c) 2021 Authors

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Sirbiladze, G., Midodashvili, B., Midodashvili, L., & Siprashvili, D. (2021). About One Representation-Interpreter of a Monotone Measure. Journal of Computational and Cognitive Engineering, 1(2), 51-55. https://doi.org/10.47852/bonviewJCCE2022010103