In recent years, with the wide application of 5G network, in orderto save 5G network resources and satisfy the service requirementsof different users, much research has been carried out towards 5Gnetwork slicings technology. Different public key cryptosystems maybe deployed in different 5G network slicings. Therefore, heterogeneoussigncryption is required to achieve secure communication betweendifferent 5G network slices. The existing scheme is one-to-one communicationbetween 5G network slicings. For the sake of obtainingone-to-many and many-to-one secure communication, in this papertwo new privacy-preserving heterogeneous signcryption schemes havebeen proposed based on 5G network slicings, which can accomplishmutual communication between public key infrastructure and certificatelesscryptograph. In this work, we present PKI→CLC completelyanonymous multi-receiver signcryption (PMRCHS) and CLC→PKI heterogeneousaggregate signcryption (CPHAS) schemes. In the randomoracle model, proposed schemes are proved that satisfy confidentiality, unforgeability under the computational Diffie-Hellman problem and discrete logarithm problem. In addition, we have compared the proposedwork with the existing works in terms of computational cost, commumnication cost, anonymity and the direction of communication. Results show that the proposed schemes are more secure and effective.