You are building a mini fuzzy inference system that determines fan speed based on temperature and humidity.

Your goal is to:

• fuzzify crisp inputs;
• evaluate fuzzy rules using logical operators;
• aggregate rule outputs;
• compute a final crisp value using centroid defuzzification.

Instructions

1. Use the provided membership functions for:

   • temperature;
   • humidity;
   • fan speed.

2. Fuzzify the given inputs:

   • temperature = 28;
   • humidity = 65.

3. Evaluate the following fuzzy rules:

   • Rule 1: IF temperature is Hot OR humidity is Humid THEN fan speed is High;
   • Rule 2: IF temperature is Cool AND humidity is Dry THEN fan speed is Low.

4. Aggregate the rule outputs over the range 0 to 80.

5. Compute the final fan speed using centroid defuzzification.

6. Store the result in the variable fan_speed.