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An intuitionistic fuzzy information measure of order-\((\alpha , \beta )\) with a new approach in supplier selection problems using an extended VIKOR method

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Abstract

In this communication, a new two parametric fuzzy information measure of order-\((\alpha , \beta )\) is proposed in the settings of intuitionistic fuzzy set theory. Besides the validation of proposed measure, some of its major properties are also studied. Attributes weights play an important role in the solution of a MADM problem. Two methods of determining the attributes weights are discussed. Considering the importance of subjective and objective weights, a new multiple attribute decision-making (MADM) method based on the concept of VIsekriterijumska optimizacija i KOmpromisno Resenje (VIKOR) is introduced. The proposed MADM method is suitably explained with the help of two illustrative examples.

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Acknowledgements

The authors are thankful to anonymous reviewers for their precious suggestions to improve this manuscript.

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  1. Department of Mathematics, Maharishi Markandeshwar University, Mullana-Ambala, 133207, India

    Rajesh Joshi & Satish Kumar

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  1. Rajesh Joshi
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Correspondence to Rajesh Joshi.

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Joshi, R., Kumar, S. An intuitionistic fuzzy information measure of order-\((\alpha , \beta )\) with a new approach in supplier selection problems using an extended VIKOR method. J. Appl. Math. Comput. 60, 27–50 (2019). https://doi.org/10.1007/s12190-018-1202-z

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  • DOI: https://doi.org/10.1007/s12190-018-1202-z

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