An efficient Shapley value for games with fuzzy characteristic function
Abstract We consider cooperative games where the characteristic function is valued in the space of the fuzzy numbers. By using different fuzzy calculation methods to transform the game into a crisp cooperative one, we define and characterize an efficient extension of the Shapley value. This solution is a relevant member of a wider family of more general, fuzzy calculation method dependent extensions of the Shapley value.
Authors
- Juan Vidal-Puga (ORCID: https://orcid.org/0000-0001-5640-1653)
- Lina Mallozzi (ORCID: https://orcid.org/0000-0001-7326-8735)
Institutions
- Universidade de Vigo (ES)
- University of Naples Federico II (IT)
Publication Details
- Journal
- Fuzzy Optimization and Decision Making
- Published
- 2025-09-02
- DOI
- https://doi.org/10.1007/s10700-025-09461-1
- Citations
- 1
- Primary Topic
- Fuzzy Systems and Optimization
- Type
- article
- Field-Weighted Citation Impact
- 2.63
Funders
- Università degli Studi di Napoli Federico II
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Ministerio de Ciencia e Innovación
- Xunta de Galicia