Negation of Z-Numbers and their application in multi-attribute decision making
Negative proposition is an important representation in mathematical logic and a key tool to describe information in intelligent information processing.Z-number is a new representation of uncertain language information.The research on negation is reviewed,and the application of negation of possibility distribution in Z-number theory is introduced.By means of maximum Shannon entropy and particle swarm optimization algorithm,an optimization model is proposed to discover the hidden possibility distribution in Z-number.The research shows that Z-number negation provides an effective tool for language decision analysis and solving complex problems.
Z-numbermaximum Shannon entropy algorithmparticle swarm optimization algorithmTOPSIS multi-attribute decision making