On bi-cooperative games with fuzzy bi-coalitions

• Main Authors: Aranez, Arianne Marielle M., Navarro, Miguel Leon B.
• Format: text
• Language: English
• Published: Animo Repository 2015
• Subjects: Choquet theory; Fuzzy graphs; Fuzzy integrals; Fuzzy algorithms; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/18390
• Institution: De La Salle University

This paper contains an introduction on the concept of bi-cooperative game and its properties. It focuses on the study of the solution concept called Shapley value. With the crisp set dealing only with membership functions that is either 0 or 1, the incorporation of the fuzzy set is discussed dealing with participation levels within 0 to 1. The notion of the fuzzy bi-cooperative game in Choquet Integral form and its properties will also be discussed. The idea of extending a crisp bi- cooperative game to a fuzzy bi-cooperative game is presented. Our study is supplemented with an illustrative example.