Fuzzy VIKOR is a decision-making method used to rank and select from among alternatives that involve conflicting criteria. It extends the traditional VIKOR method by incorporating fuzzy logic to handle uncertainty and vagueness in the decision-making process.
Here's a brief overview of the Fuzzy VIKOR method:
Define the Decision Matrix: List the alternatives and criteria, and evaluate each alternative under each criterion using fuzzy numbers (usually triangular fuzzy numbers).
Determine the Best and Worst Values: For each criterion, determine the fuzzy best (ideal) and worst (anti-ideal) values.
Calculate the Separation Measures: For each alternative, calculate the distance from the fuzzy best and worst values, considering all criteria.
Compute the VIKOR Index: Calculate the VIKOR index, which combines the maximum group utility and the minimum individual regret. This index is used to rank the alternatives.
Rank the Alternatives: Based on the VIKOR index and a compromise ranking, alternatives are ranked, and a compromise solution is determined.
To illustrate this with an example, let's consider a simple scenario with three alternatives and three criteria. The alternatives could be different suppliers, and the criteria could include cost, quality, and delivery time. We would assess each supplier on each criterion using fuzzy numbers.
Would you like me to create a sample Excel sheet with data and calculations to demonstrate the Fuzzy VIKOR method? If so, please specify the alternatives and criteria you'd like to use, or I can generate a generic example for you.