Fuzzy multi-attribute decision making: An outranking method

Multi-attribute decision making forms an important part of the decision process for both the small (an individual) and the large (an organization) problems. When available information is precise, many methods exist to solve this problem. But the uncertainty and fuzziness inherent in the structure of information make rigorous mathematical models inappropriate for solving this type of problems. This paper incorporates the fuzzy set theory and the basic nature of subjectivity due to the ambiguity to achieve a flexible decision approach suitable for uncertain and fuzzy environment. The proposed method can take both crisp and fuzzy inputs. An outranking intensity is introduced to determine the degree of overall outranking competing alternatives, which are represented by fuzzy numbers. The comparison of these degrees is made through the concept of overall existence ranking index. A numerical example is given to illustrate the approach.