Multiattribute decision making based on entropy under interval-valued intuitionistic fuzzy environment

22Citations
Citations of this article
15Readers
Mendeley users who have this article in their library.

Abstract

Multiattribute decision making (MADM) is one of the central problems in artificial intelligence, specifically in management fields. In most cases, this problem arises from uncertainty both in the data derived from the decision maker and the actions performed in the environment. Fuzzy set and high-order fuzzy sets were proven to be effective approaches in solving decision-making problems with uncertainty. Therefore, in this paper, we investigate the MADM problem with completely unknown attribute weights in the framework of interval-valued intuitionistic fuzzy (IVIF) set (IVIFS). We first propose a new definition of IVIF entropy and some calculation methods for IVIF entropy. Furthermore, we propose an entropy-based decision-making method to solve IVIF MADM problems with completely unknown attribute weights. Particular emphasis is put on assessing the attribute weights based on IVIF entropy. Instead of the traditional methods, which use divergence among attributes or the probabilistic discrimination of attributes to obtain attribute weights, we utilize the IVIF entropy to assess the attribute weights based on the credibility of the decision-making matrix for solving the problem. Finally, a supplier selection example is given to demonstrate the feasibility and validity of the proposed MADM method. © 2013 Yingjun Zhang et al.

Cite

CITATION STYLE

APA

Zhang, Y., Li, P., Wang, Y., Ma, P., & Su, X. (2013). Multiattribute decision making based on entropy under interval-valued intuitionistic fuzzy environment. Mathematical Problems in Engineering, 2013. https://doi.org/10.1155/2013/526871

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free