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Neutrosophic Sets and Systems
Article . 2015
Data sources: DOAJ
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Cosine Similarity Measure Based Multi-Attribute Decision-Making With Trapezoidal Fuzzy Neutrosophic Numbers

Authors: Pranab Biswas; Surapati Pramanik; Bibhas C. Giri;

Cosine Similarity Measure Based Multi-Attribute Decision-Making With Trapezoidal Fuzzy Neutrosophic Numbers

Abstract

The objective of the study is to present cosine similarity measure based multi-attribute decision making under neutrosophic environment. The assesments of alternatives over the attributes are expressed with trapezoidal fuzzy neutrosophic numbers in which the three independent components namely, truth-membership degree (T), indeterminacy-membership degree (I) and falsity-membership degree (F) are expressed by trapezoidal fuzzy numbers. Cosine similarity measure between two trapezoidal fuzzy neutrosophic numbers and its properties are introduced. Expected value of trapezoidal fuzzy neutrosophic number is defined to determine the attribute weight. With these attribute weights, weighted cosine similarity measure between relative positive ideal alternative and each alternative is determined to find out the best alternative in multi-attribute decision-making problem. Finally, a numerical example is provided to illustrate the proposed approach.

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Keywords

Multi-attribute decision making, Single-valued neutrosophic set, QA75.5-76.95, Cosine similarity measure, Neutrosophic set, Single-valued, Electronic computers. Computer science, QA1-939, Trapezoidal fuzzy neutrosophic number, Mathematics, Expected value

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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