Affiliations: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India
Correspondence:
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Corresponding author. Madhumangal Pal, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721102, India. Tel./Fax: +91 9932218937; E-mail: mmpalvu@gmail.com.
Abstract: Fuzzy matrices (FMs) play important role to model several uncertain systems. In FMs, it is assumed that the rows and columns are certain. But, in many real life situations it is seen that they are also uncertain. So to model these types of uncertain problems, new type of FMs are introduced called fuzzy matrices with fuzzy rows and columns (FMFRCs). For these matrices, null, identity, equality, etc. are defined along with four binary operators ∨, ∧, ⊖ and ⊕. Two types of complements and density of FMFRC are defined and investigated several important properties. An application of FMFRC in image representation is also given.
Keywords: Fuzzy matrix, fuzzy rows and columns, complement of fuzzy matrices, density of fuzzy matrices
