A new method based on multi-segment decision matrix for solving decision-making problems


1 Department of Industrial Engineering, Qazvin Branch, Islamic Azad University, Nokhbegan Avenue, P.O. Box: 3419759811, Qazvin, Iran

2 Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, P.O. Box 3419759811, Iran

3 Young Researches Club, South Tehran Branch, Islamic Azad University, Sepahbod Qarani Avenue, P.O. Box: 11365/4435, Tehran, Iran

4 Department of Industrial Engineering, College of Engineering, University of Tehran, North Karegar Street, P.O. Box: 11155-4563, Tehran, Iran


Decision-making analysis methods are employed to find the best option among feasible alternatives where an amount of alternatives versus criteria is introduced as only one value level with stationary numerical value. In real-world decision situations, the condition of multi-segment problems may exist in practice. In this paper, a new method is proposed to rank the alternatives in multiple criteria decision-making (MCDM) problems where the amount of alternatives to the criteria can be represented by several segments. Hence, a multi-segment decision matrix can be obtained. Moreover, the proposed method based on the simple additive weight (SAW)can be employed to solve the decision problems where the amount of alternatives versus the assessment criteria at each level is introduced as a function of some parameters. These functions can be regarded as linear, exponential, and trigonometric. Finally, three real case studies are given to demonstrate the solution procedure of the proposed method, and then a sensitivity analysis for each case is reported.