A Satisfaction Degree of Optimal Value for Grey Linear Programming

TL;DR

This paper introduces a new satisfaction degree measure for grey linear programming that better reflects decision maker preferences and helps identify more appropriate optimal solutions.

Contribution

It proposes a novel satisfaction degree for grey linear programming that incorporates decision maker attitude, enhancing the interpretation and selection of optimal solutions.

Findings

The new satisfaction degree effectively captures decision maker preferences.

It provides a more meaningful measure of optimality in grey linear programming.

An example demonstrates the practical application of the satisfaction degree.

Abstract

This paper considers the grey linear programming and introduces a new satisfaction degree of optimal value for the positioned linear programming of the grey problem. The {\lambda}-satisfaction degree seems to reflect the real meaning of the positioned optimal values. By selecting {\lambda} according to the attitude of decision maker towards the satisfaction degree, an appropriate optimal solution can be obtained for the grey linear programming problem. An example is given to show the meaning of the new satisfaction degree.