Path: Top -> Journal -> Jurnal Internasional -> Fuzzy Information and Engineering -> 2015 -> Volume 7, Issue 3, September

Interval-valued Fuzzy Matrices with Interval-valued Fuzzy Rows and Columns

Journal from gdlhub / 2017-08-21 13:50:27
Oleh : Madhumangal Pal, Fuzzy Information and Engineering
Dibuat : 2015-09-21, dengan 1 file

Keyword : Fuzzy matrixInterval-valued fuzzy matrixFuzzy rows and columnsComplement of fuzzy matricesDensity of fuzzy matrices
Url : http://www.sciencedirect.com/science/article/pii/S1616865815000667
Sumber pengambilan dokumen : web

Fuzzy matrix (FM) is a very important topic of fuzzy algebra. In FM, the elements belong to the unit interval [0,1]. When the elements of FM are the subintervals of the unit interval [0,1], then the FM is known as interval-valued fuzzy matrix (IVFM). In IVFM, the membership values of rows and columns are crisp, i.e., rows and columns are certain. But, in many real life situations they are also uncertain. So to model these types of uncertain problems, a new type of interval-valued fuzzy matrices (IVFMs) are called interval-valued fuzzy matrices with interval-valued fuzzy rows and columns (IVFMFRCs). For these matrices, null, identity, equality, etc. are defined along with some binary operators. Complement and density of IVFMFRC are defined and several important properties are investigated. An application of IVFMFRC in image representation is also given.

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