A Very Simple Formula for Aggregation and Multicriteria Optimization

作者：Zadeh Lotfi A^*

来源：International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 2016, 24(6): 961-962.

DOI：10.1142/S0218488516500446

<jats:p> Aggregation of data has many important applications in various fields, especially in economics, planning, optimization, decision-making and ranking of alternatives. There are many approaches to aggregation reflecting the fact that aggregation is application-depend and there are some considerations which are hard to quantify. The simple formula, FA, which is described in the following is easy to apply and lends itself to standardization and generalization. It is convenient to describe the formula in terms of a model in which the data relate to the grades g<jats:sub>1</jats:sub>, …, g<jats:sub>n</jats:sub> which a student, call him Robert, received for the collection of courses c<jats:sub>1</jats:sub>, …, c<jats:sub>n</jats:sub> . Assume that the data are of the form (c<jats:sub>1</jats:sub>, g<jats:sub>1</jats:sub>), (c<jats:sub>2</jats:sub>, g<jats:sub>2</jats:sub>), …, (c<jats:sub>n</jats:sub>, g<jats:sub>n</jats:sub>). The grades are on a scale from 0 to 100. Upon normalization they become numbers in the unit interval which may be interpreted as grades of membership or degrees. We propose two approaches. </jats:p>

• 出版日期2016-12