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Rank of interval-valued fuzzy matrices

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Abstract

Like fuzzy matrix the interval-valued fuzzy matrix has also three types of ranks, viz, row rank, column rank and fuzzy rank. In this article, some methods are described to find these three type of ranks for interval-valued fuzzy matrices and investigated the relationship between them. Using the cross vector such ranks are investigated by very simple way. Many results are presented by using the definition of scalar multiplication of an interval-valued fuzzy matrix.

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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India

    Sanjib Mondal & Madhumangal Pal

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  1. Sanjib Mondal
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  2. Madhumangal Pal
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Correspondence to Sanjib Mondal.

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Mondal, S., Pal, M. Rank of interval-valued fuzzy matrices. Afr. Mat. 27, 97–114 (2016). https://doi.org/10.1007/s13370-015-0325-8

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