Abstract
Abstract For the multi-criteria group decision-making problem where the criterion value is a normal interval number and the weight information is incomplete, the normal interval number and its compromise expected value, compromise mean square error, algorithm, weighted arithmetic average of normal interval number (ININWAA) Operator, the ordered weighted average (ININOWA) operator of normal interval numbers and the mixed weighted average (ININHA) operator of normal interval numbers, and a multi-criteria group with incomplete information based on normal interval numbers is proposed. Decision-making methods. This method uses ININWAA operator and INNHA operator to integrate criterion values, uses the compromise mean square error of criterion values, establishes an optimisation model to solve the optimal criterion weights and uses the expectation variance criterion to determine the order of the schemes. The case analysis shows the effectiveness and feasibility of this method.
Highlights
Multiple attribute decision is limited, and programs relating to the selection of multiple properties are reported
It should be noted that the use of methods to solve stochastic dominance based on random normal random variables with a multi-attribute decision-making problem can only qualitatively determine the part of the two dominant relationships between the two programs but cannot determine the dominant degree; SMAA using methods is calculated based on the Monte Carlo simulation program to sort the results; obtained results are sorted in a certain sense of confidence based on the above analysis; a multi-attribute decision proposed a solution for having a normal random variable
Based on the above mentioned normal interval number algorithm, in order to facilitate the integration of normal interval number information, three integration operators for normal interval numbers are given below, namely the weighted arithmetic average (ININWAA) operator of normal interval numbers, the ordered weighted average (ININOWA) operator of normal interval numbers and the mixed weighted average (ININHA) operator of normal interval numbers [6]
Summary
Multiple attribute decision is limited, and programs relating to the selection of multiple properties are reported. Due to the complexity and uncertainty of multi-attribute decision-making problems, the results of measurement or evaluation of the property value may be in the form of random variables, where property values obedience or approximately normally distributed random variables are the most common form. For a multi-attribute decision problem with a property value normal to the random variable, a targeted decision analysis method is not much of use but can see some of the random multi-attribute decision-making methods, such as stochastic dominance based, SMAA method, etc. It should be noted that the use of methods to solve stochastic dominance based on random normal random variables with a multi-attribute decision-making problem can only qualitatively determine the part of the two dominant relationships between the two programs but cannot determine the dominant degree; SMAA using methods is calculated based on the Monte Carlo simulation program to sort the results; obtained results are sorted in a certain sense of confidence based on the above analysis; a multi-attribute decision proposed a solution for having a normal random variable. This article defines the normal range and the number of related concepts, gives some integrated operator normal interval number information and proposes guidelines for interval numbers, and the weight information is not complete; multi-criteria group decision-making is normal and methods and examples are analysed [2]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
