Distance Measure Based MADM Strategy with Interval Trapezoidal Neutrosophic Numbers

Authors

  • Pranab Biswas Biswas Department of Mathematics, Jadavpur University, Kolkata-700032, India
  • Surapati Pramanik Pramanik Department of Mathematics, Nandalal B.T. College, Panpur, Narayanpur-743126, India
  • Bibhas Chandra Giri Giri Department of Mathematics, Jadavpur University, Kolkata-700032, India.

Keywords:

Interval trapezoidal neutrosophic number, Hamming distance measure, entropy, multi-attribute decision making

Abstract

In this paper, we introduce interval trapezoidal neutrosophic number and define some arithmetic operations of the proposed interval trapezoidal neutrosophic
numbers. Then we consider a multiple attribute decision making (MADM) problem with interval trapezoidal neutrosophic numbers. The weight information of each attribute in the multi attribute decision making problem is expressed in terms of interval trapezoidal neutrosophic
numbers. To develop distance measure based MADM strategy with interval trapezoidal neutrosophic numbers, we define normalised Hamming distance measure of the proposed numbers and develop an algorithm to determine the weight of the attributes. Using these weights, we aggregate the distance measures of preference values of each alternative with respect to ideal alternative. Then we determine the ranking order of all alternatives according to the aggregated weighted distance measures of all available alternatives. Finally, we provide an illustrative example to show the feasibility, applicability of the proposed MADM strategy with interval trapezoidal neutrosophic numbers.

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Published

2018-04-28

How to Cite

Biswas, P. B., Pramanik, S. P., & Giri, B. C. G. (2018). Distance Measure Based MADM Strategy with Interval Trapezoidal Neutrosophic Numbers. Neutrosophic Sets and Systems, 19(2018-04-28), 40-46. Retrieved from http://fs.unm.edu/NSS2/index.php/111/article/view/354