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Multiple attribute decision making based on immediate probabilities aggregation operators for single-valued and interval neutrosophic sets

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Abstract

The objective of this paper is to present novel algorithms for solving the multiple attribute decision-making problems under the neutrosophic set environment. Single-valued and interval neutrosophic sets are the important mechanisms for directing the decision-making queries with unknown and indeterminant data by employing a degree of “acceptance”, “indeterminacy”, and “non-acceptance” in quantitative terms. Also, to describe the behavior of the decision-maker objectively (in terms of probability) and subjectively (in terms of weights), a concept of probabilistic information plays a dominant role in the investigation. Keeping these features in mind, this paper presents several probabilistic and immediate probability-based averaging and geometric aggregation operators for the collection of the single-valued and interval neutrosophic sets. The advantage of these proposed operators is that it simultaneously combines the objective and subjective behavior of the decision-maker during the process. The various salient features of the proposed operators are studied. Later, we develop two new algorithms based on the aggregation operators to solve multiple attribute decision-making problems with single-valued and interval neutrosophic sets features. A numerical example related to the demonetization is given to demonstrate the presented approaches, and the advantages, as well as comparative analysis, are given to shows its influence over existing approaches.

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Authors and Affiliations

  1. School of Mathematics, Thapar Institute of Engineering and Technology (Deemed University), Patiala, Punjab, 147004, India

    Harish Garg

  2. Department of Applied Sciences, Punjab Engineering College, Deemed University Chandigarh, Chandigarh, India

    Nancy

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  1. Harish Garg
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Garg, H., Nancy Multiple attribute decision making based on immediate probabilities aggregation operators for single-valued and interval neutrosophic sets. J. Appl. Math. Comput. 63, 619–653 (2020). https://doi.org/10.1007/s12190-020-01332-9

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  • DOI: https://doi.org/10.1007/s12190-020-01332-9

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