## 3 The Mutual Algorithm
In addition, this architecture can solve the existing issues of care agencies, which now are under third-party authorization. The proposed architecture also can save the costs of transmission and integration through quick and direct data exchanges between older people. Through this LCDA, the proposed mutual algorithm could ensure the non-destructibility of data, which can make the MMC be recorded of older people in a more secure way. The LCDA algorithm (Algorithm 2) demonstrates initialization of parameters from older people; setting up functions such as hash, encryption, and signature to ensure data of older people more secure; computing proof-of-work to let the system operate effectively; and adding blocks to ledgers to let the systems adjust dynamically. ```
1. Require: Initialization of parameters: getOlderPeopleID, getOlderPeopleRecords
2. Set up functions: hash (getOlderPeopleID, getOlderPeopleRecords) encryption (getOlderPeopleID, getOlderPeopleRecords) signature (getOlderPeopleID, getOlderPeopleRecords)
3. Compute proof-of-work: for pow (time) constructing blocks \(\leftarrow\) hashcash (getOlderPeopleID) == true end for
4. Add blocks to ledgers: if constructing blocks == true then  confidential transactions \(\leftarrow\) hash (0) + encryption (0 + signature (0)  upchain to the decentralized platform  end if  decryption (getOlderPeopleID, getOlderPeopleRecords)

Figure 1: The Decentralized Self-Service Framework. In an existing centralized system, to make transparency more effective, this local server system must play a role in making fair and accurate reports available to the public [23; 24]. The proposed decentralized architecture of long-term care represents that older people’s information and availability are important features for the mutual algorithm [25]. Through the decentralized architecture of long-term care (called long-term care decentralized architecture (i.e., LCDA)), this not only reduces the cost compared to centralized systems, but also eliminates the chances of information loss due to a single point of failure, since ledger copies are synchronized across all older people. The mapping or transaction procedure is a type of distributed ledger, which can view transactions anytime to make LCDA immutable and irreversible. ## 4 Research Model

This study proposes methods including the mapping mutual clustering (MMC) algorithm and the long-term care decentralized architecture (LCDA) algorithm for creating an innovative manner to solve problems as research questions described. The user perceptions can include user satisfaction, ease of use, usefulness, and user intention, which are all popular for evaluating systems [26; 27]. To evaluate the system proposed as RQ1 mentioned, this first hypothesis considers medical records, risk level, physiology, and demography to improve the users' perceived usefulness, ease of use, satisfaction, and intention to use the long-term care system. The research model (Figure 3) mainly focuses on the support vector machines (SVMs), which is widely-used algorithm [28] for risk minimization [29; 30]. Other algorithms such as the random forest is suitable for classification trees to put the input vector down each tree in the forest [30]. Figure 3: Research Model. Figure 2: Long-term Care Decentralized Architecture (LCDA). This research also uses LCDA to solve the issues of human variability. According to the second research question (RQ2), the second hypothesis examines whether or not the accuracy of the LCDA is higher than the mutual algorithm without the proposed method. The detailed description of the MMC and LCDA algorithm is very clear in the previous two sections, and it is possible to evaluate and verify its feasibility and correctness by building the measurable research model and implementing it through the evaluation plan.