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Fuzzy sets , theory of intuitionistic fuzzy sets , theory of vague sets, theory of interval Mathematics and theory of rough sets which can be considered as Mathematical tools for dealing with uncertainities. But all these theries have their inherent difficulties as pointed out in [4]. The reason for these difficulties is, possibly, the inadequency of the parametrization tools of the theories.
The aim of this article is to study the concept of unique solvability of max-min fuzzy neutrosophic soft matrix equation and strong regularity of fuzzy neutrosophic soft matrices over Fuzzy Neutrosophic Soft Algebra (FNSA).
Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra.
We show that the powers of a given FNSM stabilize if and only if its orbits stabilize for each starting fuzzy neutrosophic soft vector (FNSV) and prove a necessary and sucient condition for this property using the associated graphs of the FNSM. Applications of the obtained results to several spacial classes of FNSMs (including circulants) are given.
Fuzzy Neutrosophic Soft Matrix (FNSM) A in a max-min Fuzzy Neutrosophic Soft Algebra (FNSA), the set of all increasing Fuzzy Neutrosophic Soft Eigenvectors (FNSEvs), in notation F ≤(A) is studied.
In this paper, we have introduced the determinant and adjoint of a square Fuzzy Neutrosophic Soft Matrices (FNSMs). Also we define the circular FNSM and study some relations on square FNSM such as reflexivity, transitivity and circularity.
Aim of this article is to study the idea of minus-ordering on fuzzy neutrosophic soft matrix. It is shown that the minus ordering in the set of all fuzzy neutrosophic soft matrix is a partial ordering. Further some properties of minus ordering on fuzzy neutrosophic soft matrix are discussed.
In this article the out-to-out description of d-periodic interval fuzzy neutrosophic soft matrices (d-PIFNSMs) over fuzzy neutrosophic soft algebra (FNSA) is furnished and d-peroidicity properties are proved. Delineation of the d-periodicity of interval valued fuzzy soft neutrosohic soft matrices(IFNSM) is interpreted.
The complexity of problems in economics, engineering, environmental sciences and social sciences which cannot be solved by the well known methods of classical Mathematics pose a great difficulty in today’s practical world (as various types of uncertainties are presented in these problems).
In this paper, we study some properties of modal operators in Neutrosophic fuzzy matrix and we introduce a new composition operation and discuss some of its algebraic properties. Finally, we obtain a decomposition of a Neutrosophic fuzzy matrix by using the new composition operation and modal operators.