Standard Neutrosophic Soft Theory: Some First Results

The traditional soft set is a mapping from a parameter set to family of all crisp subsets of a universe. Molodtsov introduced the soft set as a generalized tool for modelling complex systems involving uncertain or not clearly defined objects. In this paper, the notion of neutrosophic soft set is reanalysed. The novel theory is a combination of neutrosophic set theory and soft set theory. The complement, “and”, “or”, intersection and union operations are defined on the neutrosophic soft sets. The neutrosophic soft relations accompanied with their compositions are also defined. The basic properties of the neutrosophic soft sets, neutrosophic soft relations and neutrosophic soft compositions are also discussed

Some operations over intuitionistic fuzzy matrices based on Hamacher t-norm and t-conorm

In this paper, we define the Hamacher scalar multiplication and Hamacher exponentiation operations on Intuitionistic fuzzy matrices and also we construct n.hA and A^hⁿ of an intuitionistic fuzzy matrix A and studied the algebraic properties of these operations.Publisher's Versio