Spherical fuzzy matrices
Citation
Silambarasan, I. (2023). Spherical fuzzy matrices. TWMS Journal Of Applied And Engineering Mathematics, 13(1), 98-109.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 matrices. 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 defined and investigated their algebraic 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 define 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.
Source
TWMS Journal Of Applied And Engineering MathematicsVolume
13Issue
1URI
https://hdl.handle.net/11729/5205http://jaem.isikun.edu.tr/web/index.php/current/118-vol13no1/947
Collections
The following license files are associated with this item:
Related items
Showing items related by title, author, creator and subject.
-
Characterization of semigroup by rough interval pythagorean fuzzy set
Subha, V. S; Veerappan, Chinnadurai; Dhanalakshmi, P. (Işık University Press, 2022)This paper expose a study on rough interval valued pythagorean fuzzy sets in semigroups. We characterize rough interval valued pythagorean fuzzy sets by an example. Characterize composition of two interval valued pythagorean ... -
Some new results of pythagorean fuzzy soft topological spaces
Yolcu, Adem; Öztürk, Taha Yasin (Işık University Press, 2022)This paper aims to originate new notion that is pythagorean fuzzy soft topological space and investigate some important properties of pythagorean fuzzy soft topological spaces. Furthermore the notions of pythagorean fuzzy ... -
Ideal and dot ideal of a PS algebra in picture fuzzy environment
Dogra, Shovan; Pal, Madhumangal (Işık University Press, 2023-07)In this paper, the notion of picture fuzzy ideal of a PS algebra is introduced as a generalization of fuzzy ideal of a PS algebra and some important results are explored in this regard. It is highlighted that the intersection ...