Inclusion measures in intuitionistic fuzzy set theory

Abstract

Twenty years after their inception, intuitionistic fuzzy sets are on the rise towards making their "claim to fame". Competing along-side various other, often closely related, formalisms, they are catering to the needs of a more demanding and rapidly expanding knowledge-based systems industry. In this paper, we develop the notion of a graded inclusion indicator within this setting, drawing inspiration from related concepts in fuzzy set theory, yet keeping a keen eye on those particular challenges raised specifically by intuitionistic fuzzy set theory. The use of our work is demonstrated by its applications in approximate reasoning and non-probabilistic entropy calculation.