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A ranking method based on possibility mean for multi-attribute decision making with single valued neutrosophic numbers

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Abstract

Single valued neutrosophic (SVN) set has a useful independent mathematical structure for expressing the incomplete, inconsistent and indeterminate information. Many researchers have studied decision making problems with SVN environment. This paper presented a new ranking method of SVN-numbers based on possibility theory for solving a multi-attribute decision making (MADM) problem. The first time we have defined the concept of possibility mean of SVN numbers and applied to multi-attribute decision making problem in which the attribute values are considered as SVN-numbers. Then, we propose the possibility mean of the truth-membership function, indeterminacy-membership function and falsity-membership function for single valued trapezoidal neutrosophic (SVTN) numbers and studied some desired properties of SVTN. Thus, we have developed a new ranking approach using the concept of weighted possibility mean, and applied to MADM problems. Finally, a numerical example is examined to show the applicability and an embodiment of the proposed method.

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Authors and Affiliations

  1. Department of Mathematics, Syamsundar College, Purba Bardhaman, Syamsundar, West Bengal, 713424, India

    Totan Garai

  2. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, 147004, India

    Harish Garg

  3. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, 711103, India

    Tapan Kumar Roy

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  1. Totan Garai
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  2. Harish Garg
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  3. Tapan Kumar Roy
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Correspondence to Totan Garai.

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Garai, T., Garg, H. & Roy, T.K. A ranking method based on possibility mean for multi-attribute decision making with single valued neutrosophic numbers. J Ambient Intell Human Comput 11, 5245–5258 (2020). https://doi.org/10.1007/s12652-020-01853-y

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