An Extended Topsis Method For The Multiple Attribute Decision Making Problems Based On Interval Neutrosophic Set

Pingping Chi · Пэйдэ Лю

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Multi-Criteria Decision Making Rough Sets and Fuzzy Logic Fuzzy and Soft Set Theory

Abstract

The interval neutrosophic set (INS) can be easier to express the incomplete, indeterminate and inconsistent information, and TOPSIS is one of the most commonly used and effective method for multiple attribute decision making, however, in general, it can only process the attribute values with crisp numbers. In this paper, we have extended TOPSIS to INS, and with respect to the multiple attribute decision making problems in which the attribute weights are unknown and the attribute values take the form of INSs, we proposed an expanded TOPSIS method.

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References

1996Fuzzy sets 2019Interval-Valued Intuitionistic Fuzzy Sets 1989More on intuitionistic fuzzy sets 2010Single Valued Neutrosophic Sets 1994Operators over interval valued intuitionistic fuzzy sets 2013Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment 2005Interval Neutrosophic Sets and Logic: Theory and Applications in Computing 2014Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making

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2015Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets 2018RETRACTED: A framework for risk assessment, management and evaluation: Economic tool for quantifying risks in supply chain 2015An extended TOPSIS method for multiple attribute group decision making based on single valued neutrosophic linguistic numbers 2015Hybrid vector similarity measures and their applications to multi-attribute decision making under neutrosophic environment 2015On single valued neutrosophic relations

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