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Novel Derivations and Application of Complex LR Numbers on Fully Fuzzy Complex Linear System

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Recent Advances in Intelligent Information Systems and Applied Mathematics (ICITAM 2019)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 863))

Abstract

In this paper, a fully fuzzy complex system of linear equations of the form \(\tilde{A}\tilde{X}=\tilde{B}\) is presented, where \(\tilde{A}\) is an LR fuzzy complex matrix, \(\tilde{X}\) is an unknown LR fuzzy complex vector and \(\tilde{B}\) is a known LR fuzzy complex vector. The definition of its fuzzy complex solution is proposed and discussion on a direct solution method of the fully fuzzy complex system of equation is discussed. Conditions on existence and uniqueness of fuzzy complex solution have been investigated. Numerical examples are presented to justify the applicability of the proposed method.

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Author information

Authors and Affiliations

  1. Department of BCA, B. P. Poddar Institute of Management and Technology, Saltlake Campus, Kolkata, 700091, West Bengal, India

    Anushree Dutta

  2. Deulia Balika Vidyamandir, Kolaghat, 721154, West Bengal, India

    Sutapa Pramanik

  3. Department of Applied Science, Haldia Institute of Technology, Haldia Purba Midnapur, 721657, West Bengal, India

    Dipak Kumar Jana

Authors
  1. Anushree Dutta
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  2. Sutapa Pramanik
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  3. Dipak Kumar Jana
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Corresponding author

Correspondence to Anushree Dutta .

Editor information

Editors and Affiliations

  1. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo

  2. Haldia Institute of Technology, Haldia, West Bengal, India

    Dipak Kumar Jana

  3. Maulana Abul Kalam Azad University of Technology, Haringhata, India

    Debasis Giri

  4. Haldia Institute of Technology, Haldia, India

    Arif Ahmed

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Dutta, A., Pramanik, S., Jana, D.K. (2020). Novel Derivations and Application of Complex LR Numbers on Fully Fuzzy Complex Linear System. In: Castillo, O., Jana, D., Giri, D., Ahmed, A. (eds) Recent Advances in Intelligent Information Systems and Applied Mathematics. ICITAM 2019. Studies in Computational Intelligence, vol 863. Springer, Cham. https://doi.org/10.1007/978-3-030-34152-7_3

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