[Vuejs]-VueJs, call a method from concatenated element

The proper way to do this is to use v-for:

<template>
  <ul>
    <li v-for="item in dataset" :key="item[1]">
      <input type="checkbox" @change="updateService(item[1])">
    </li>
  </ul>
</template>

<script>
export default
{
  methods:
  {
    listServices(serviceId) 
    {      
      axios.get(
        process.env.ROOT_API + "Service/List?Id=" + serviceId,
        this.$store.getters.getTokenHeaderFormData
      ).then(response => 
      {             
        response.data.forEach(el => 
        {    
          this.dataset.push([                         
            el.serviceName,              
            el.ServiceId
          ]);
        });
      }).catch(error => 
      {
        console.log(error);
      });
    },
    updateService(serviceId)
    {
      console.log(serviceId);
    },
  }
}
</script>