Non-linear programming method for multi-criteria decision making problems under interval neutrosophic set environment

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 bas...

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Bibliographic Details
Published in:Applied intelligence (Dordrecht, Netherlands) Vol. 48; no. 8; pp. 2199 - 2213
Main Authors: Garg, Harish, Nancy
Format: Journal Article
Language:English
Published: New York Springer US 01.08.2018
Springer Nature B.V
Subjects:
Artificial Intelligence
Computer Science
Decision making
Linear programming
Machines
Manufacturing
Mathematical programming
Mechanical Engineering
Multiple criteria decision making
Nonlinear programming
Processes
Interval neutrosophic set
Neutrosophic set
TOPSIS
Multi criteria decision-making
Nonlinear programming model
ISSN:0924-669X, 1573-7497
Online Access:Get full text
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Summary: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.
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ISSN:0924-669X
1573-7497
DOI:10.1007/s10489-017-1070-5