Quantum mechanics

TOPSIS

Linear programming

Data mining

Computer science

Mathematical optimization

Physics

Nonlinear system

Operations research

Mathematics

Fuzzy logic

Artificial intelligence

Interval (graph theory)

Combinatorics

Mathematical economics

Nonlinear programming

Information Sciences

In this paper, we propose a new multiple attribute decision making (MADM) method based on the nonlinear programming (NLP) methodology, the TOPSIS method and interval-valued intuitionistic fuzzy values (IVIFVs). The evaluating values of the alternatives with respect to attributes and the attributes' weights are represented by IVIFVs. The NLP methodology is applied to get the optimal attributes' weights. The proposed MADM method can overcome the drawbacks of the existing MADM methods to deal with MADM problems using IVIFVs.

Interval-valued intuitionistic fuzzy multiple attribute decision making based on nonlinear programming methodology and TOPSIS method