Cosine Similarity Measure Based Multi-attribute Decision-making with Trapezoidal Fuzzy Neutrosophic Numbers

Authors

  • Pranab Biswas Department of Mathematics, Jadavpur University, Kolkata,700032, India
  • Surapati Pramanik Department of Mathematics, Nandalal Ghosh B.T. College, Panpur, P.O.-Narayanpr, District-North 24 Parganas, West Bengal, PIN-743126, India
  • Bibhas C. Giri Department of Mathematics, Jadavpur University, Kolkata,700032, India

Keywords:

Neutrosophic set, Single-valued neutrosophic set, Trapezoidal fuzzy neutrosophic number, Expected value, Cosinesimilarity measure,, Multi-attribute decision making

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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Published

2014-05-05

How to Cite

Pranab Biswas, Pramanik, S., & Giri, B. C. (2014). Cosine Similarity Measure Based Multi-attribute Decision-making with Trapezoidal Fuzzy Neutrosophic Numbers. Neutrosophic Sets and Systems, 8, 46-56. Retrieved from https://fs.unm.edu/NSS2/index.php/111/article/view/490

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