on constructing the class, i want to dynamically intialize all the ISet with HashSet,

Below is how I achieved it for for IList with List

var properties = GetType()
                .GetProperties()
                .Where(x => x.PropertyType.IsGenericType &&
                            x.PropertyType.GetGenericTypeDefinition() == typeof(IList<>))
                .ToList();

            foreach (var property in properties)
            {
                // get T type of ISet
                if (property.PropertyType.GetGenericArguments().Length > 1) continue;
                var listElemType = property.PropertyType.GetGenericArguments()[0];
                if (listElemType == null) continue;

                // create hashedset
                var constructorInfo = typeof(List<>)
                    .MakeGenericType(listElemType)
                    .GetConstructor(Type.EmptyTypes);

                //construct object
                if (constructorInfo == null) continue;
                var listInstance = (IList)constructorInfo.Invoke(null);
                property.SetValue(this, listInstance);
            }

but if I try the same thing for ISet, it does not work :(

        var properties = GetType()
            .GetProperties()
            .Where(x => x.PropertyType.IsGenericType &&
                        x.PropertyType.GetGenericTypeDefinition() == typeof(ISet<>))
            .ToList();

        foreach (var property in properties)
        {
            // get T type of ISet
            if (property.PropertyType.GetGenericArguments().Length > 1) continue;
            var listElemType = property.PropertyType.GetGenericArguments()[0];
            if (listElemType == null) continue;

            // create hashedset
            var constructorInfo = typeof(HashSet<>)
                .MakeGenericType(listElemType)
                .GetConstructor(Type.EmptyTypes);

            //construct object
            if (constructorInfo == null) continue;
    //============== HERE IS THE PROBLEM ============
           // var listInstance = (ISet)constructorInfo.Invoke(null);
           // property.SetValue(this, listInstance);
        }

there is no ISet like for IList.. how to achieve it in this case??