Voting Analysis in Political Science

Abstract

In this paper we consider voting analysis in the political science in connection with <TEX>$B_n$</TEX>(or <TEX>$M_n$</TEX>{0, 1}), the semigroup of the binary relations on X with n elements. We also consider it in connection with <TEX>$M_n$</TEX>(F) (or <TEX>$B_n$</TEX>(F)), the semigroup of all fuzzy binary relations on X. Also we establish a possibility theorem and an impossibility theorem in voting analysis based on preferences in <TEX>$B_n$</TEX> and <TEX>$M_n$</TEX>(F).