Abstract
In this chapter, we merge type-II fuzzy logic, and intuitionistic fuzzy logic in a broader way, to develop an intuitionistic type-II fuzzy logic. In intuitionistic type-II fuzzy logic, we deal the uncertainty, concerning with the truth values as well as false values. Intuitionistic type-II fuzzy logic is a stimulus of traditional intuitionistic type-I fuzzy logic in such a way that ambiguity is presented into linguistic variables that can be handled by using the truth grades and false grades with some hesitation margin. On the other hand, the proposed intuitionistic type-II fuzzy logic-based inference system accommodate intuitionistic fuzzy IF–THEN rules, which holds intuitionistic type-II fuzzy sets ( $${\mathrm{IFT}}_{\mathrm{y}}(\mathrm{II}))$$ . We also discussed the applications of proposed system in the various fields including; engineering, medical and agriculture etc. We applied over methodology over a data of lung cancer patients, which consists sixteen medical entities of infected patients. We also gave an example to illustrate our proposed technique.
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