On bi-cooperative games with fuzzy bi-coalitions

Date of Publication

2015

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Yvette F. Lim

Abstract/Summary

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.

Abstract Format

html

Language

English

Format

Electronic

Accession Number

CDTU021095

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Keywords

Choquet theory; Fuzzy graphs; Fuzzy integrals; Fuzzy algorithms

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