Abstract
Intuitionistic Neutrosophic soft set theory proposed by S.Broumi and F.Samarandache (28), has been regarded as an effective mathematical tool to deal with uncertainties. In this paper new operations on intuitionistic neutrosophic soft sets have been introduced . Some results relating to the properties of these operations have been established. Moreover ,we illustrate their interconnections between each other.
Highlights
The theory of neutrosophic set (NS), which is the generalization of the classical sets, conventional fuzzy set [1], intuitionistic fuzzy set [2]and interval valued fuzzy set [3],was introduced by Samarandache [4]
In 1998 a Russian researcher, Molodtsov proposed a new mathematical tool called” Soft set theory” [ 15],for dealing with uncertainty and how soft set theory is free from the parameterization inadequacy syndrome of fuzzy set theory, rough set theory, probability theory
We have extended the intuitionistic neutrosophic soft sets defining new operations on it
Summary
The theory of neutrosophic set (NS), which is the generalization of the classical sets, conventional fuzzy set [1], intuitionistic fuzzy set [2]and interval valued fuzzy set [3],was introduced by Samarandache [4]. Smarandache [26] combined the intuitionistic neutrosophic and soft set which lead to a new mathematical model called” intutionistic neutrosophic soft set” They studied the notions of intuitionistic neutrosophic soft set union, intuitionistic neutrosophic soft set intersection, complement of intuitionistic neutrosophic soft set and several other properties of intuitionistic neutrosophic soft set along with examples and proofs of certain results. In [27] S.Broumi presentedthe concept of “Generalized neutrosophic soft set” by combining the generalized neutrosophic sets [13] and soft set models ,studied some properties on it, and presented an application of generalized neutrosophic soft set in decision making problem.
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