Description

• Title:
  Balanced capacities
• Creator:
  Radul, Taras
• Description:
  We consider capacity (fuzzy measure, non-additive probability) on a compactum as a monotone cooperative normed game. Then it is natural to consider probability measures as elements of core of such game. We prove a topological version of the Bondareva-Shapley theorem that non-emptiness of the core is equivalent to balancedness of the capacity. We investigate categorical properties of balanced capacities and give characterizations of some fuzzy integrals of balanced capacities.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2023 Taras Radul
• Date:
  2023.12.31
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 62, No 2 (December 2023); 553 - 567;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/47713/37288 ;https://apcz.umk.pl/TMNA/article/view/47713/37289
• Subject:
  Balanced capacity;
  core of a cooperative game;
  fuzzy integral;
  18C15, 28E10, 91A12, 54B30
• Identifier: https://apcz.umk.pl/TMNA/article/view/47713
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other