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Home 2020

Some Algebraic Structures of Picture Fuzzy Matrices

Author: I. Silambarasan, 150 (2020) 78-91

2024-01-14
Reading Time: 2 mins read
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ABSTRACT

In this paper, the concept of Picture fuzzy matrices, which are direct extensions of an intuitionistic fuzzy matrices. Then we define some algebraic operations of Picture fuzzy matrices, such as max-min, min-max, complement, algebraic sum, algebraic product, scalar multiplication (๐‘›๐ด) and exponentiation (๐ด๐‘›). We also investigate their algebraic properties of these operations. Furthermore, we define a new operation(@) on Picture fuzzy matrices and discuss distributive laws in the case where the operations of โŠ•โ„˜, โŠ—โ„˜, โˆงโ„˜ and โˆจโ„˜ are combined each other.

 

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Tags: Algebraic productAlgebraic sumExponentiation operationsIntuitionistic fuzzy matrixPicture fuzzy matrixScalar multiplication
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