The Linguistic Computational Models Basedon Index of Linguistic Label

摘要

Index of object is pervasive in mathematics, e.g., using natural number l,2,n asindex of variable x to identify between xi,andx_j,where i,j{l,2,n} and ij From practical point of view, it is not always possible for the user to define a fuzzy setfor each linguistic label. In such situation, index of linguistic label is an alternativemethod for dealing with linguistic information directly. In this paper, the relationshipbetween linguistic labels and their indexes is analyzed. Then, linguistic computationalmodels based on natural number index of linguistic label are reviewed. For linguisticcomputational model based on fuzzy number index of linguistic label, arithmetic mean F_e and linguistic weighted averageF_l~woperators are defined.