Controllable Fuzziness of General Fuzzy Numbers Addition Based on Yager T-norms

The class of Yager t-norms is flexible and adaptable. It is suitable for controlling the fuzziness of fuzzy addition. The fuzzy addition based on Yager t-norms for linear subnormal fuzzy numbers is developed. In addition, the fuzzy addition of a set of subnormal fuzzy numbers is also presented. The relationship between the degree of fuzziness and the parameter of Yager t-norms is studied. The required degree of fuzziness can be achieved from the corresponding parameter of Yager t-norms. A numerical example is used for illustrating the proposed mathematical results.