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Non-linear programming method for multi-criteria decision making problems under interval neutrosophic set environment
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Non-linear programming method for multi-criteria decision making problems under interval neutrosophic set environment
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Journal Article
Non-linear programming method for multi-criteria decision making problems under interval neutrosophic set environment
2018
Overview
Interval neutrosophic sets (INSs) capturing the uncertainties by characterizing into the intervals of the truth, the indeterminacy, and the falsity membership degrees, is a more flexible way to explore the decision-making applications. In this paper, we develop a nonlinear programming (NP) model based on the technique for order preference by similarity to ideal solution (TOPSIS), to solve decision-making problems in which criterion values and their importance are given in the form of interval neutrosophic numbers (INNs). Based on the concept of closeness coefficient, we firstly construct a pair of the nonlinear fractional programming model and then transform it into the linear programming model. Furthermore, to determine the ranking of considered alternatives, likelihood-based comparison relations are constructed. Finally, an illustrative example demonstrates the applicability of the proposed method for dealing with decision making problems with incomplete knowledge.
Publisher
Springer Nature B.V
