Maximum entropy of random permutation set

Recently, a new type of set, called random permutation set (RPS), is proposed by considering all the permutations elements in certain set. For measuring uncertainty RPS, entropy RPS presented. However, maximum principle has not been discussed. To address this issue, paper presents RPS. The analytical solution and its PMF condition are proven Besides, numerical examples used to illustrate entropy. results show that compatible with Deng Shannon Moreover, order further apply practical fields, comparative analysis choice using entropy, also carried out.