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Extended VIKOR–TODIM Approach Based on Entropy Weight for Intuitionistic Fuzzy Sets

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Proceedings of International Conference on Trends in Computational and Cognitive Engineering

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1169))

Abstract

The present article provides a new technique using extended VIKOR–TODIM and entropy measures for Intuitionistic Fuzzy Sets (IFSs). First, we developed a new entropy information measure for IFSs and talked about their limiting cases. The performance of the proposed information measure has been validated with the help of TODIM (An acronym in Portuguese for Interactive and Multi-criteria Decision-Making) and VIKOR (vlseKriterijumska Optimizacija I Kompromisno Resenje) methods. We combined the VIKOR–TODIM method based on weights criteria to solve the multi-criteria decision-making (MCDM) problems. Firstly, the problem with multi-criteria decision-making is designed and the steps, principles of the proposed VIKOR–TODIM method are presented. Finally, to verify the applicability of the proposed approach, a decision-making problem is presented. Then the evaluation of the software companies alternatives against each criterion is explored in terms of Intuitionistic Fuzzy Numbers (IFNs). The proposed VIKOR–TODIM model is an effective tool to evaluate and select the best choice for a software company as compared to existing methods.

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Authors and Affiliations

  1. Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana, Ambala, India

    Vikas Arya

  2. Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana, Ambala, India

    Satish Kumar

Authors
  1. Vikas Arya
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  2. Satish Kumar
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Corresponding author

Correspondence to Satish Kumar .

Editor information

Editors and Affiliations

  1. Central University of Haryana, Mahendergarh, India

    Phool Singh

  2. Central University of Haryana, Mahendergarh, India

    Rajesh Kumar Gupta

  3. Amity School of Applied Sciences, Amity School of Engineering and Technology (ASET), Jaipur, Rajasthan, India

    Kanad Ray

  4. Surface Characterization Group, National Institute for Materials Science (NIMS), Tsukuba, Ibaraki, Japan

    Anirban Bandyopadhyay

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Arya, V., Kumar, S. (2021). Extended VIKOR–TODIM Approach Based on Entropy Weight for Intuitionistic Fuzzy Sets. In: Singh, P., Gupta, R.K., Ray, K., Bandyopadhyay, A. (eds) Proceedings of International Conference on Trends in Computational and Cognitive Engineering. Advances in Intelligent Systems and Computing, vol 1169. Springer, Singapore. https://doi.org/10.1007/978-981-15-5414-8_7

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