On fuzzy coalitions
Date of Publication
2009
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics with specialization in Business Applications
Subject Categories
Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Thesis Adviser
Ederlina G. Nocom
Defense Panel Chair
Yvette F. Lim
Defense Panel Member
Mark Anthony A. Garcia
Gaudencio C. Petalcorin, Jr.
Abstract/Summary
This paper is an exposition of Chapter 6 and 7 of the book Models in Cooperative Game Theory: Crisp, Fuzzy, and Multi-Choice Games by R. Branzei, D. Dmitriv, and S. Tijs, pp. 77-88 [1]. It focuses on Fuzzy Coalitions, a concept in cooperative game theory dealing with coalitions with participation levels between 0 and 1. This paper presented the relationship between crisp and fuzzy coalitions, regarding games, imputations and cores. Also, this paper showed how crisp and fuzzy games can be transformed into fuzzy and crisp games, respectively. Furthermore, definitions, examples and other interpretations are thoroughly discussed which include unanimity games, t-restricted games, multilinear extension, imputation set, aubin core, stable sets, proper core, and dominance core.
Abstract Format
html
Language
English
Format
Accession Number
TU15127
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
vi, 97, [12] leaves, illustrations, 28 cm.
Keywords
Game theory; Fuzzy systems
Recommended Citation
Gacho, L. N., & Madrid, N. S. (2009). On fuzzy coalitions. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/5231
Embargo Period
4-4-2021