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Table 3 Initial state vector \(X_{0}\) with 13 nodes

From: Probabilistic linguistic fuzzy cognitive maps: applications to the critical factors affecting the health of rural older adults

Second-level variables

Descriptions

Proportion of initial state

\(R\) Self-rated health

The health status of self-reported

Very good (8.78%)

So so (40.38%)

Bad (13.8%)

  

Good (35.35%)

 

Very bad (1.8%)

  

\(s_{3}\)(0.45)

\(s_{0}\)(0.4)

\(s_{ - 3} (\) 0.15)

\(C_{1}\) Balanced diet

The frequency of eating fresh fruits and vegetables

Almost every day (12.76%)

Quite often (26.06%)

Occasionally (34.84%)

Rarely or never (26.34%)

  

Almost every day (55.22%)

Quite often (32.64%);

Occasionally (8.06%)

Rarely or never (4.09%)

  

\(s_{3}\)(0.65)

\(s_{0}\)(0.2)

\(s_{ - 3}\)(0.15)

\(C_{2}\) Quality of sleep

The sleeping quality of self-reported

Very good (15.94%)

Good (45.58%);

So so (26.65%)

Bad (10.48%)

Very bad (1.35%)

  

\(s_{3}\)(0.6)

\(s_{0}\)(0.3)

\(s_{ - 3}\)(0.1)

\(C_{3}\) Physical exercise

The presence of physical exercise

Yes (25.45%)

0

No (74.55%)

  

\(s_{3}\)(0.25)

\(s_{0}\)(0)

\(s_{ - 3}\)(0.75)

\(C_{4}\) Unhealthy lifestyle

The presence of smoking and drinking

Yes (30.48%)

0

No (69.52%)

  

Yes (25.56%)

0

No (74.44%)

  

\(s_{ - 3}\)(0.3)

\(s_{0}\)(0)

\(s_{3}\)(0.7)

\(C_{5}\) Mentality

The presence of sad, melancholic, or depressed emotion for two weeks or more in last 12 months

Yes (12.48%)

0

No (87.52%)

  

\(s_{ - 3}\)(0.15)

\(s_{0}\)(0)

\(s_{3}\)(0.85)

\(C_{6}\) Preventive medical service utilization

The presence of regular physical examination once every year

Yes (57.7%)

0

No (42.3%)

  

\(s_{3}\)(0.6)

\(s_{0}\)(0)

\(s_{ - 3}\)(0.4)

\(C_{7}\) Chronic diseases management

The presence of cooperating with doctors to treat chronic diseases

Yes (66.76%)

0

No (33.24%)

  

\(s_{3}\)(0.7)

\(s_{0}\)(0)

\(s_{ - 3}\)(0.3)

\(C_{8}\) Income

The financial level of the respondents' family

Far below the average (5.86%)

Below the average (33.43%)

Average (55.36%)

Above the average (4.69%)

Far above the average (0.16%)

  

\(s_{ - 3}\)(0.4)

\(s_{0}\)(0.55)

\(s_{3}\)(0.05)

\(C_{9}\) Occupation

The main occupation of respondents before age 60

Professional and technical staff (3.18%)

Governmental, institutional or manager (2.53%)

Commercial, service or industrial worker (8.53%)

Self-employed (1.59%)

Military personnel (0.74%)

Agriculture, forestry, animal husbandry (75.02%)

Houseworker (6.28%)

Never worked (0.54%)

Others (1.54%)

  

\(s_{3}\)(0.15)

\(s_{0}\)(0.75)

\(s_{ - 3}\)(0.1)

\(C_{10}\) Education

The education of respondents

Illiterate (58.15%)

Primary school (30.9%)

Junior middle school (6.48%)

Senior middle school (2.59%)

College and above (1.88%)

  

\(s_{ - 3}\)(0.6)

\(s_{0}\)(0.35)

\(s_{3}\)(0.05)

\(C_{11}\) Environmental pollution

The severity of air/water/industrial waste pollution in respondents' living areas

Very serious (9.06%; 9.5%; 6.22%)

More serious (16.94%; 20.39%; 14.76%);

Less serious (17.96%; 17.48%; 13.59%)

Not serious (22.61%; 20.97%; 18.89%)

So so (10.34%; 9.79%; 9.7%)

Disinterest (1.75%; 2.02%; 3.71%)

Without pollution (21.31%; 19.81%; 33.08%)

  

\(s_{ - 3}\)(0.3)

\(s_{0}\)(0.5)

\(s_{3}\)(0.2)

\(C_{12}\) Intergenerational relationship

The frequency of respondents to see child

Almost every day (20.78%)

2–3times a week (5.9%)

Once a week (7.07%)

Every two weeks (8%)

Once a month (10.53%)

Once every three months (10.95%)

Once every six months (10.57%)

Once a year (19.44%)

Almost never (3.46%)

Other (3.31%)

  

\(s_{3}\)(0.5)

\(s_{0}\)(0.4)

\(s_{ - 3}\)(0.1)

  1. Generally, the initial state of all variables is presented by 11 granularities that from \(s_{ - 5}\) to \(s_{5}\). Among them, \(s_{ - 5}\) is an extremely poor state,\(s_{5}\) is an extremely good state, while \(s_{0}\) is the average state or general state. For the convenience of iteration, we select \(s_{ - 3}\), \(s_{0}\) and \(s_{3}\) to present the initial state of variables.