Ranking of intuitionistic fuzzy numbers

Abstract

The notion of fuzzy subsets was introduced by L.A.Zadeh (1965) and it was generalised to intuitionistic fuzzy subsets by K.Atanassov [1]. After the invention of intuitionistic fuzzy subsets, many real life problems are studied accurately [7, 13, 14]. The measure of fuzziness was studied in [12, 16]. The ranking of intuitionistic fuzzy numbers plays a main role in modelling many real life problems involving intuitionistic fuzzy decision making, intuitionistic fuzzy clustering. H.B.Mitchell introduced a method of ranking intuitionistic fuzzy numbers in [10]. In this paper, a new method of intuitionistic fuzzy scoring to intuitionistic fuzzy numbers that generalizes Chen and Hwangpsilas scoring method for ranking of intuitionistic fuzzy numbers has been introduced and studied.