Intuitionistic fuzzy reasoning using the method of optimizing the similarity of truth tables

Abstract

In this paper, we extend the method of optimizing the similarity (OS method for short) of truth tables used in fuzzy reasoning, to intuitionistic fuzzy reasoning. In this regard, we introduce intuitionistic fuzzy implicators and some intuitionistic similarity measures. We explain the OS method for intuitionistic fuzzy modus ponens and intuitionistic fuzzy modus tollens. Then, we define continuous intuitionistic fuzzy implicators and give some weaker conditions under which the optimization problem has a solution. The reductive property and optimality condition for this method are investigated.