An extended TOPSIS for multi-attribute decision making problems with neutrosophic cubic information

Authors

  • Surapati Pramanik Department of Mathematics, Nandalal Ghosh B.T. College, Panpur, P.O.-Narayanpur, District - North 24 Parganas, Pin Code-743126, West Bengal, India.
  • Partha Pratim Dey Department of Mathematics, Jadavpur University, Kolkata-700032, West Bengal, India.
  • Bibhas C. Giri Department of Mathematics, Jadavpur University, Kolkata-700032, West Bengal, India.
  • Florentin Smarandache University of New Mexico. Mathematics & Science Department, 705 Gurley Ave., Gallup, NM 87301, USA.

Keywords:

TOPSIS;, neutrosophic sets;, interval neutrosophic set;, neutrosophic cubic sets;, multi-attribute decision making.

Abstract

Abstract. The paper proposes a new technique for dealing with multi-attribute decision making problems through an extended TOPSIS method under neutrosophic cubic environment. Neutrosophic cubic set is the generalized form of cubic set and is the hybridization of a neutrosophic set with an interval neutrosophic set. In this study, we have defined some operation rules for neutrosophic cubic sets and proposed the Euclidean distance between neutrosophic cubic sets. In the decision making situation, the rating of alternatives with respect to some predefined attributes are presented in terms of neutrosophic cubic information where weights of the attributes are completely unknown. In the selection process, neutrosophic cubic positive and negative ideal solutions have been defined. An extended TOPSIS method is then proposed for ranking the alternatives and finally choosing the best one. Lastly, an illustrative example is solved to demonstrate the decision making procedure and effectiveness of the developed approach.

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Published

2017-09-15

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Surapati Pramanik, Partha Pratim Dey, Bibhas C. Giri, & Florentin Smarandache. (2017). An extended TOPSIS for multi-attribute decision making problems with neutrosophic cubic information. Neutrosophic Sets and Systems, 17, 20-28. https://fs.unm.edu/nss8/index.php/111/article/view/669

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