SPHERICAL FUZZY MATRICES

SPHERICAL FUZZY MATRICES

I. Silambarasan

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Abstract

In this paper, we introduce spherical fuzzy matrices (SFMs) which is an advanced tool of the fuzzy matrices, intuitionistic fuzzy matrices and picture fuzzy ma- trices. We investigate the basic properties of SFMs and compare the idea SFMs with picture fuzzy matrices. Then some algebraic operations, such as max-min, min-max, complement, algebraic sum, algebraic product are de ned and investigated their alge- braic properties. Further, scalar multiplication (nA) and exponentiation (An) operations of a SFM A using algebraic operations are constructed, and their desirable properties are studied. Finally, we de ne a new operation(@) on spherical fuzzy matrices and discuss distributive laws in the case where the operations of  s; s; ^s and _s are combined each other.

Keywords

Intuitionistic fuzzy matrix, Pythagorean fuzzy matrix, Picture fuzzy ma- trix. Spherical fuzzy matrix, Algebraic sum, Algebraic product, Scalar multiplication, Exponentiation operations.