A COMPARATIVE STUDY OF THREE FORMS OF ENTROPY ON TRADE VALUES BETWEEN KOREA AND FOUR COUNTRIES
Keywords:
Choquet integral, fuzzy entropy, Shannon entropy, Choquet entropy, fuzzy set.Abstract
Recently Wood-Jang[21] studied some applications of the Choquet integral in the trading relationship that Korea shares with selected trading partners. In this study, we consider the fuzzy entropy and the Shannon entropy, in addition we also define the Choquet entropy on a fuzzy set and develop four fuzzy sets which are related to that of the Choquet expected utility CEU(u(a)) for the trade values of utility u from an act a on S. Using this data set, we calculate three forms of entropy on four fuzzy sets as in the Choquet expcetes utility for the trade values that exist between Korea and four trading partner countries. Furthermore, we provide comparisons with three forms of entropy on four fuzzy sets which are representative of the four trading partner countries analyzed in this study
