Abstract
With the increasing complexity of the human social environment, it is impossible to describe each object in detail with accurate numbers when solving multiple attribute decision-making (MADM) problems. Compared with the fuzzy set (FS), the intuitionistic fuzzy set (IFS) not only has obvious advantages in allocating ambiguous values to the object to be considered, but also takes into account the degree of membership and non-membership, so it is more suitable for decision makers (DMs) to deal with complex realistic problems. Therefore, it is of great significance to propose a MADM method under an intuitionistic fuzzy environment. Moreover, compared with the traditional 2WD, by putting forward the option of delay, the decision-making risk can be effectively reduced using three-way decision (3WD). In addition, the binary relations between objects in the decision-making process have been continuously generalized, such as equivalence relation which have symmetrical relationship, dominance relation and outranking relation, which are worthy of study. In this paper, we propose 3WD-MADM method based on IF environment and the objective IFS is calculated by using the information table. Then, the hybrid information table is used to solve the supplier selection problem to demonstrate the effectiveness of the proposed method.
Highlights
Selecting one of these alternatives based on the information provided in real life is the main purpose of MADM, which is to rank a series of alternatives and determine the best one
There are a number of classical approaches to deal with MADM problems, such as the VIKOR method [1,2], the TOPSIS method which is used to find the alternative that is closest to the positive ideal solution and farthest from the negative ideal solution [3], ELECTRE method is designed to construct the outranking relationship of alternatives [4], Vinogradova provided MADM methods as a component of mathematics-based optimization [5], Chen et al [6] used hybrid MADM model to evaluate and improve the performance of product design, etc
Algorithm 1 is aim to solve the supplier selection problem in IF environment based on 3WD-MADM method, the algorithm of the above method is summarized as follows: Input: An IF-MADMLFT (U, C, E, A, W, χ )
Summary
Selecting one of these alternatives based on the information provided in real life is the main purpose of MADM, which is to rank a series of alternatives and determine the best one. The original fuzzy set only considers membership degree [13,14,15], IFS has the characteristics of both membership degree and non-membership degree [12], it provides a more reasonable method to describe uncertainty. Gao et al [21] proposed a novel target threat assessment method under intuitionistic fuzzy multi-attribute decision making environment. Based on intuitionistic fuzzy environment, Ecer [23] used MARCOS technique to make decisions and rank insurance companies, Kumar [24] proposed a novel IF-reliability approach to evaluate failure probability of the system, etc. We make use of the proposed 3WD method to solve a supplier selection problem
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